Aas sss sas asa - 15 Apr 2021 ... Triangle Constructions: SSS, SAS, ASA | Addvance Maths 😊➕.

 
Aas sss sas asa

Sal introduces and justifies the SSS, SAS, ASA and AAS postulates for congruent triangles. He also shows that AAA is only good for similarity. For SSA, better to watch next video. What Is SAS SSS ASA AAS? SAS theorem states that two triangles are equal if two sides and the angle between those two sides are equal. While the geometry formula for the area of a triangle is often used, the SAS theorem is used with trigonometry to provide an alternate method to calculate the area of a triangle.Displaying all worksheets related to - Sss Sas Asa Aas Hl. Worksheets are 4 s sas asa and aas congruence, Congruence postulates s asasas aas and hl, Infinite geometry, Practice work lessons quiz, Assignment date period, 4 asa and aas congruence, Unit 4 triangles part 1 geometry smart packet, U niitt n 77 rriiaangllee g coonggruueenccee.12 Nov 2020 ... The worksheet lies: there is no AAS I hope you enjoyed the video! Please leave a comment if you'd like to see a topic covered or have any ...Fun maths practice! Improve your skills with free problems in 'SSS, SAS, ASA and AAS Theorems' and thousands of other practice lessons.26 Feb 2018 ... Learn the 5 conditions for triangle congruency (SSS, SAS, ASA, AAS and HL) A triangle is said to be congruent to another triangle if both ...SAS Congruence. HL Congruence. Which theorem would you use to prove the two triangles congruent? Canada (French) Study with Quizlet and memorize flashcards containing terms like ASA Congruence, SAS Congruence, SSS Congruence and more.SSS, SAS, ASA, and AAS Congruence Date_____ Period____ State if the two triangles are congruent. If they are, state how you know. 1) Not congruent 2) ASA 3) SSS 4) ASA 5) Not congruent 6) ASA 7) Not congruent 8) SSS 9) SAS 10) SSS-1-©3 Y2v0V1n1 Y AKFuBt sal MSio 4fWtYwza XrWed 0LBLjC S.N W uA 0lglq UrFi NgLh MtxsQ Dr1e gshe ErmvFe id …If possible, write a congruency statement using AAS, ASA, SAS, or SSS (Examples #7-10) Complete the two column proof (Examples #11-13) Hypotenuse Leg Theorem. 50 min 15 Examples. Introduction three triangle theorems; Overview of the Hypotenuse-Leg Theorem, Isosceles Triangle Theorem, and the Equilateral Triangle Theorem; In each figure, find …SSS, HL, SAS, SSA, AAS, ASA, AAA. verified. Verified answer. The LA theorem is a special case of the A) AAS theorem and SSS postulate B) SAS postulate and ASA postulate C) SAS postulate and SSS postulate D) AAS theorem and ASA postulate . star. 4.3/5. heart. 18. verified. Verified answer. Jonathan and his sister Jennifer have a …Lesson 1- Illustrating SAS, ASA and SSS Congruence Postulates. After going through this module, you are expected to: 1. identify included side and included angle; 2. determine the minimum requirements needed for congruent triangles; 3. illustrate the Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Side SideSide (SSS) congruence postulates ...3.) Take the quiz. Proofs give students much trouble, so let's give them some trouble back! In this lesson we cover the four main methods of proving triangles congruent, including SSS, SAS, ASA, and AAS. We cover CPCTC as well. In the two proofs covered, one involves parallel lines and the other triangles back to back, using the reflexive property. 5 minutes. 1 pt. State if the two triangles are congruent. If they are, state how you know. AAS. ASA. Not congruent. 3. Multiple Choice. Theorem \(\PageIndex{2}\) (AAS or Angle-Angle-Side Theorem) Two triangles are congruent if two angles and an unincluded side of one triangle are equal respectively to two angles and the corresponding unincluded side of the other triangle (\(AAS = AAS\)). 1. Use the Law of Cosines to calculate one of the unknown angle. 2. Use the Law of Cosines again to find the other angle. 3. Find the third angle, since we know that angles in a triangle add up to 180°. Solving a Triangle, SSA, Example 1. In this video, we find a missing side length using SSA and the law of sines.There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL. 1. SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. For example: is congruent to: (See Solving SSS Triangles to find out more) See moreBASICS TO SSS, SAS, ASA, AAS RULES: Two triangles are congruent if they have: Exactly the same three side and Exactly the same three angles. But we don’t have to …Steps: 1) Draw a reference line, if one is not given, and place a starting dot (A). 2) Copy segment c. With compass, measure the span of segment c. It is usually easier to start with the longest segment. (Place a small arc to show that you measured the segment.) 3) Place compass point on A and transfer this span with a small arc crossing the ... Multiple Choice. 20. Multiple Choice. Name the corresponding angle or side. 21. Multiple Choice. Name the corresponding angle or side. Triangle Congruence: SSS, SAS, ASA, and AAS quiz for 8th grade students. Find other quizzes for Mathematics and more on Quizizz for free!Lesson 1- Illustrating SAS, ASA and SSS Congruence Postulates. After going through this module, you are expected to: 1. identify included side and included angle; 2. determine the minimum requirements needed for congruent triangles; 3. illustrate the Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Side SideSide (SSS) congruence postulates ...SAS. Study with Quizlet and memorize flashcards containing terms like SSS, SAS, ASA and more. SSS, SAS, ASA, AAS, RHS. Criteria for congruence of triangles are SSS, SAS, ASA, AAS, RHS. SSS- Two triangles are congruent if all the 3 corresponding sides ...SSS, SAS, ASA, AAS, RHS. Criteria for congruence of triangles are SSS, SAS, ASA, AAS, RHS. SSS- Two triangles are congruent if all the 3 corresponding sides ...15 Apr 2021 ... Triangle Constructions: SSS, SAS, ASA | Addvance Maths 😊➕.Nov 6, 2017 · Free worksheet at https://www.kutasoftware.com/freeige.htmlGo to ️ https://maemap.com/math/geometry/ ⬅️ for more Geometry information!Please support me: ?... BASICS TO SSS, SAS, ASA, AAS RULES: Two triangles are congruent if they have: Exactly the same three side and Exactly the same three angles. But we don’t have to …30 Nov 2021 ... Answer to Solved Fiangle congruence: SSS, SAS, ASA, AAS, & HL Oh MyB | Chegg.com.Apr 18, 2016 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ... Sal introduces and justifies the SSS, SAS, ASA and AAS postulates for congruent triangles. He also shows that AAA is only good for similarity. For SSA, better to watch next video. 3.08 Quiz: Triangle Congruence: SSS SAS and ASA. Teacher 5 terms. Antonio77489. Preview. Angles (feel free to edit) 7 terms. ema_bozic3. Preview. ... AAS Congruence ... 5-5 & 5-6 SSS, SAS, ASA, & AAS. Proving Triangles Congruent. F. B. A. C. E. D. The Idea of a Congruence. Two geometric figures with exactly the same size and shape. How much do you need to know. . . . . . about two triangles to prove that they Slideshow 6775961 by sevilen-osmanSSS, SAS, ASA, AAS quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free!30 Nov 2021 ... Answer to Solved Fiangle congruence: SSS, SAS, ASA, AAS, & HL Oh MyB | Chegg.com.IXL K54-SSS SAS ASA and AAS Congruence.pdf - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Scribd is the world's largest social reading and publishing site.SSS, ASA, AAS, SAS. New Resources. Circle and Square; A Common Generating Set of Equations; Prediction Intervals, Confidence Intervals, and an Arising EllipseLPHS Geometry Teachers of 2012 thinking and dancing about Triangle Congruences: SSS, SAS, ASA, and AAS.SSS, SAS, ASA, AAS quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free!Oct 14, 2019 · AAS ASA SAS SSS See what teachers have to say about Brainly's new learning tools! ... Vertical angles are congruent, so these triangles are congruent by AAS. heart ... Oct 25, 2012 · LPHS Geometry Teachers of 2012 thinking and dancing about Triangle Congruences: SSS, SAS, ASA, and AAS. 8.5 congruent polygons 1. Module-4-Presentation.pptx. QUARTER-3-GRADE-8-WEEK-3.pptx. Geometry 5-6 ASA and AAS. 4.3 proving triangles are congruent. GRADE 8-ILLUSTRATING THE SAS, ASA AND SSS.pptx. 3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS... Geom …Oct 14, 2019 · AAS ASA SAS SSS See what teachers have to say about Brainly's new learning tools! ... Vertical angles are congruent, so these triangles are congruent by AAS. heart ... Practice with Sss, sas, aas, asa and proving congruent triangles Liveworksheets transforms your traditional printable worksheets into self-correcting interactive exercises that the students can do online and send to the teacher.SAS ASA o G Triangles LHGJ and AOKM Method SAS ASA Needed Information Concept Summary Triangle Congruence Theorems You have learned five methods for proving that triangles are congruent. AAS Two angles and a non-included side are congruent. SAS Two sides and the included angle are congruent. sss All three sides are congruent. ASA A …Choosing ASA or AAS Tell which postulate or theorem you would use to show that the triangles are congruent. Explain your reasoning. 14. 15. 16. ... XA ASA XB AAS XC SAS XD SSS Finding a Missing Length Find the unknown side length. Round your answer to the nearest tenth. (Lesson 4.4) 37. 38. 39. Identifying Congruent Parts In the diagram, TABC …This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent. ASA and AAS are important when solving proofs. How to use the ASA and AAS shortcuts to determine the congruence of two triangles. Triangle Congruence - SSS, SAS, ASA …Learn how to use the angle-side-angle (ASA) and angle-angle-side (AAS) theorems to prove the congruence of triangles in geometry. This section provides examples, exercises, and explanations of these important concepts. Mathematics LibreTexts offers free online resources for students and educators of various math topics. Terms in this set (5) Which angle is the included angle for MP and MN? <M. Which postulate or theorem proves that these two triangles are congruent? AAS Congruence Theorem. Which postulate or theorem proves RMN and QPN are congruent? The picture looks like a bowtie ️ ️ the upper leftmost point is R, the lower leftmost point is M, the middle ...sas: if you have two sides that have the same length in both triangles and an angle joining them that is also the same length on the other triangle, the third side will have to be the same length on both triangles, and therefore the triangles are congruent. that was a lot of words so ex: ghi has sides 3, 2, x, and an angle of 45 degrees joining ... Join us as we explore the five triangle congruence theorems (SSS postulate, SAS postulate, ASA postulate, AAS postulate, and HL postulate). By the end of thi... 3.08 Quiz: Triangle Congruence: SSS SAS and ASA. Teacher 5 terms. Antonio77489. Preview. Angles (feel free to edit) 7 terms. ema_bozic3. Preview. ... AAS Congruence ... LPHS Geometry Teachers of 2012 thinking and dancing about Triangle Congruences: SSS, SAS, ASA, and AAS.AAS ASA SAS SSS. See what teachers have to say about Brainly's new learning tools! WATCH. close. Skip to main content. search. Ask Question. Ask Question. Log in. Log in. Join for free. menu. close. Brainly App. Test Prep Soon. Brainly Tutor. For students. For teachers. For parents ... Vertical angles are congruent, so these triangles …3.08 Quiz: Triangle Congruence: SSS SAS and ASA. Teacher 5 terms. Antonio77489. Preview. Angles (feel free to edit) 7 terms. ema_bozic3. Preview. ... AAS Congruence ... 24 Jan 2022 ... Share your videos with friends, family, and the world.Test b (01 to 23) proving triangles congruent by sss, sas, asa, aas andSas sss asa aas congruence worksheet geometry lesson kuta congruent software triangles infinite issuu grade curated reviewed if resources state Sss sas asa aas worksheetGeometry unit 8 congruent triangles sss sas asa aas hl worksheet.SSS, SAS, ASA, AAS, RHS. Criteria for congruence of triangles are SSS, SAS, ASA, AAS, RHS. SSS- Two triangles are congruent if all the 3 corresponding sides ...Displaying all worksheets related to - Sss Asa Sas Aas And Hl. Worksheets are 4 s sas asa and aas congruence, Infinite geometry, U niitt n 77 rriiaangllee g coonggruueenccee, Assignment date period, Practice work lessons quiz, Congruence postulates s asasas aas and hl, 4 s and sas congruence, Unit 4 triangles part 1 geometry smart packet.0:00 / 16:37. In this fourth lesson of Mario's Math Tutoring's Complete Geometry Course we discuss how to prove triangles congruent by using SSS, SAS, ASA, AAS, and HL.Joi...Your question should be about two triangles. This is because by those shortcuts (SSS, AAS, ASA, SAS) two triangles may be congruent to each other if and only if they hold those properties …Adopted from All Things Algebra by Gina Wilson. Lesson 4.7 Proofs Review All Methods (Part 1)Unit 4 Congruent TrianglesPart 2: https://youtu.be/IOx1_G3aFRA24 Jul 2013 ... 4 ways of proving that triangles are congruent. This video is provided by the Learning Assistance Center of Howard Community College.11) ASA S U T D ∠SUT ≅ ∠DUT 12) SAS W X V K VW ≅ XK 13) SAS B A C K J L CA ≅ LJ 14) ASA D E F J K L DE ≅ JK 15) SAS H I J R S T IJ ≅ ST 16) ASA M L K S T U ∠L ≅ ∠T 17) SSS R S Q D RS ≅ DQ 18) SAS W U V M K VW ≅ VM-2-Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com Feb 5, 2023 · 像是第一個 sss 就是跟三個邊有關、 sas 就是兩個邊與一個角、另外 asa 與 aas 都是兩個角與一個邊、差別在角與邊的相對關係,下面會詳細介紹。 而 RHS 則是最特別,專門用在 直角三角形 上的。 Web sss sas asa aas and hl a prior information of triangle congruence postulates sss sas asa aas and hl is a prerequisite to work with the issues in this set of. Web sss, sas, asa, and aas theorems geometry math worksheets. Sss, Sas, Asa, Aas, And Hl By Math Giraffe 4.9 (288) $3.50 Pdf. Web sss sas asa aas worksheet. Web sss, …Select either SSS, SAS, SSA, ASA, or AAS to indicate the triangle's known values. Step #3: Enter the three known values. Step #4: Tap the "Solve" button, which will solve for the missing sides and/or angles, show the steps taken to solve the triangle, and, if you have an HTML5 compatible web browser, draw the triangle. 25 Nov 2023 ... Final answer: SSS, SAS, ASA, and AAS are different ways to prove that two triangles are congruent in geometry. Explanation: SSS, SAS, ASA, ...What is SSS SAS ASA AAS in geometry? SSS, SAS, ASA, and AAS are all different theorems that can be used to prove triangle congruence. SSS states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.SAS. Study with Quizlet and memorize flashcards containing terms like SSS, SAS, ASA and more. There are overall five conditions or rules to determine if two triangles are congruent which include SSS, SAS, ASA, AAS, and RHS. The congruency is expressed using the symbol (≅). In case the two triangles are congruent then their perimeters and areas are also equal. Related Topics. Also, check topics related to as congruence rule: Similarity in Triangles; …循道中學最新創意主打《全等三角形驗證法》歌詞:Side Angle Side,Side Side Side!Angle Side Angle,Angle Angle Side!原片:MCKLN Secrets#4549#SAS, SSS, ASA, …BASICS TO SSS, SAS, ASA, AAS RULES: Two triangles are congruent if they have: Exactly the same three side and Exactly the same three angles. But we don’t have to …Side – Angle – Side (SAS) Congruence Postulate; Angle – Side – Angle (ASA) Congruence Postulate; Angle – Angle – Side (AAS) Congruence Postulate; When proving congruence in mathematics, you will almost always use one of the three theorems. It is possible to prove that triangles are congruent by describing SSS.4-SSS SAS ASA and AAS Congruence.pdf - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Scribd is the world's largest social reading and publishing site.Terms in this set (5) Which angle is the included angle for MP and MN? <M. Which postulate or theorem proves that these two triangles are congruent? AAS Congruence Theorem. Which postulate or theorem proves RMN and QPN are congruent? The picture looks like a bowtie ️ ️ the upper leftmost point is R, the lower leftmost point is M, the middle ...3.) Take the quiz. Proofs give students much trouble, so let's give them some trouble back! In this lesson we cover the four main methods of proving triangles congruent, including SSS, SAS, ASA, and AAS. We cover CPCTC as well. In the two proofs covered, one involves parallel lines and the other triangles back to back, using the reflexive property. SSS, SAS, ASA, AAS quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free!If two triangles are congruent, it means that all corresponding angle pairs and sides are the same. However, we do not necessarily need to individually ...This video tutorial provides a basic introduction into CPCTC geometry proofs. CPCTC stands for "corresponding parts of congruent triangles are congruent" I...

Theorem \(\PageIndex{2}\) (AAS or Angle-Angle-Side Theorem) Two triangles are congruent if two angles and an unincluded side of one triangle are equal respectively to two angles and the corresponding unincluded side of the other triangle (\(AAS = AAS\)). . Cinepolis near me

Robux pic

4 ways of proving that triangles are congruent. This video is provided by the Learning Assistance Center of Howard Community College. For more math videos an...AAS (Angle, Angle, Side) What is SSS, SAS, ASA, and AAS Triangle Congruence Theorem? The 4 different triangle congruence theorems are: SSS: Where three sides of two triangles are equal to each other. SAS: Where two sides and an angle included in between the sides of two triangles are equal to each other. ASA: Where two angles along with a …If two triangles are congruent, it means that all corresponding angle pairs and sides are the same. However, we do not necessarily need to individually ...Jun 22, 2023 · They are \(SSS,SAS,ASA,AAS,\) and \(RHS\) congruence properties. SSS (Side – Side – Side) Congruence If the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent. About Transcript Sal uses the SSS, ASA, SAS, and AAS postulates to find congruent triangles. Created by Sal Khan. Questions Tips & Thanks Want to join the conversation? Sort by: Top Voted Lawrence 10 years ago How would triangles be congruent if you need to flip them around? • 1 comment ( 10 votes) Upvote Flag abassan 10 years ago Nov 3, 2020 · sss(侧面-侧面-侧面) sas(侧角侧) asa(角侧角) aas(角角侧) rhs(直角-斜边-侧面) 让我们详细地了解它们. sss(侧面-侧面-侧面) 如果一个三角形的三条边都与第二个三角形的相应三条边相等,那么这两个三角形就被称为是同余的。 Fun maths practice! Improve your skills with free problems in 'SSS, SAS, ASA and AAS Theorems' and thousands of other practice lessons.Apr 21, 2016 · PS:作業用,有需要人士請自取原LINK:https://www.youtube.com/watch?v=X7bPxOUWmO8&index=15&list=WL副channel:https://www.youtube.com/channel/UCJB7Z3UTx9eR ... LPHS Geometry Teachers of 2012 thinking and dancing about Triangle Congruences: SSS, SAS, ASA, and AAS.Jul 19, 2016 - Congruent Triangles (SSS, SAS, ASA, AAS, and HL) Cut and PasteUsing diagram markings and given information, students will practice ...SAS, SSS, ASA, AAS Chzta Records https://www.facebook.com/ChztaRecords ´Д` ´Д` CHZTA @ But Nothing Happened ´Д` ´Д`...13 Sept 2022 ... In this fourth lesson of Mario's Math Tutoring's Complete Geometry Course we discuss how to prove triangles congruent by using SSS, SAS, ASA ...a. From the diagram, you know that AB &* c CB &* and DB &* c DB &*. The angle included between AB &* and DB &* is aABD. The angle included between CB &* and DB &* is aCBD. Because the included angles are congruent, you can use the SAS Congruence Postulate to conclude that TABD c TCBD..

SSS, SAS, ASA, AAS, RHS. Criteria for congruence of triangles are SSS, SAS, ASA, AAS, RHS. SSS- Two triangles are congruent if all the 3 corresponding sides ...

Popular Topics

  • Tranny escort brooklyn

    Is usps down | SAS. Which theorem would you use to prove the two triangles congruent? SSS. Which theorem would you use to prove the two triangles congruent? NEI. Which theorem would you use to prove the two triangles congruent? Use these flashcards to practice the first four congruence theorems. If you cannot prove it, choose NEI.IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more. 0. ...

  • Monty alligator

    Fisher cheney funeral home troy | Feb 27, 2015 · 8.5 congruent polygons 1. Module-4-Presentation.pptx. QUARTER-3-GRADE-8-WEEK-3.pptx. Geometry 5-6 ASA and AAS. 4.3 proving triangles are congruent. GRADE 8-ILLUSTRATING THE SAS, ASA AND SSS.pptx. 3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS... Geom jeopardy ch 8 review. These worksheets provide a variety of exercises and problems that focus on the three primary methods for proving triangles congruent: Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA). By incorporating these worksheets into their lesson plans, teachers can ensure that their students develop a strong foundation in ... ...

  • Bright horizons job search

    Wnb wings near me | Oct 10, 2023 · There are five ways to prove that triangles are congruent: SAS, ASA, AAS, SSS, and HL. Each postulate outlines different congruences that must exist between the two triangles for them to be identical in shape and size. Explanation: In geometry, there are five ways to prove that two triangles are congruent or identical in shape and size. They ... Description. Students will practice determining whether triangles are congruent by Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), or Hypotenuse-Leg (HL) by working through these 24 task cards. Knowledge of parallel lines, alternate interior angles, and corresponding angles is necessary for some ......

  • Nutritional information for panera bread restaurant

    Payroll calculator hourly | 11 May 2020 ... IXL K7: Proving Triangles Congruent by SSS, SAS, ASA, and AAS (Geometry) · Comments. thumbnail-image.This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL. There’s just one step to solve this....

  • Breckin meyer in clueless

    Indeed jobs roanoke rapids nc | Aug 28, 2017 · 24K 1.3M views 6 years ago Geometry Video Playlist This geometry video tutorial provides a basic introduction into triangle congruence theorems. It explains how to prove if two triangles are... IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more. Fun maths practice! Improve your ...ASA, angle-side-angle, refers to two known angles in a triangle with one known side between the known angles. Congruent. Congruent figures are identical in size, shape and measure. Triangle Congruence. Triangle congruence occurs if 3 sides in one triangle are congruent to 3 sides in another triangle. Rigid Transformation....

  • Bodyweightfitness reddit

    Long bang short hairstyles | What is SSS SAS ASA AAS in geometry? SSS, SAS, ASA, and AAS are all different theorems that can be used to prove triangle congruence. SSS states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.8 Jan 2021 ... A CONGRUENT RELATION OF TWO TRIANGLE....