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_____ LT 3: I can name and use corresponding parts of congruent triangles. _____ LT 4: I can apply the SSS, SAS, ASA, and AAS postulates to test and prove triangle congruence. _____ LT 5: I can use properties of isosceles and equilateral triangles. LT 1: I can identify and classify triangles by sides and by angles. Wileyplus exercise 4 6
www.justmaths.co.uk Similarity & Congruence (H) - Version 2 January 2016 Similarity & Congruence (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas.

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Expected Learning Outcomes The students will be able to: 1) Determine if triangles are similar. 2) Use the Side-Side-Side Similarity Theorem and the Side-Angle-Side Similarity Theorem.

Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. Student Outcomes Students will make conclusions based on given statements and known facts to begin writing proofs involving congruent triangles.

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Section 5.6 Proving Triangle Congruence by ASA and AAS 275 PROOF In Exercises 17 and 18, prove that the triangles are congruent using the ASA Congruence Theorem (Theorem 5.10). (See Example 2.) 17. Given M is the midpoint of NL — . NL — ⊥ NQ — , NL — ⊥ MP —, QM — PL — Prove NQM ≅ MPL N M Q L P 18.

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Example 1. State whether the two triangles are congruent. Give a reason to support your answer. Yes - SSS, the three sides are equal. Example 2. State whether the two triangles are congruent.

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Welcome to IXL's year 11 maths page. Practise maths online with unlimited questions in more than 200 year 11 maths skills.

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(e) SSS. The third pair of congruent sides is the side that is shared by the two triangles. (f) SAS or LL. (g) LL or SAS. (h) HA or AAS. (i) None. There is no SSA method. Example 4: Name the additional equal corresponding part(s) needed to prove the triangles in Figures 12 (a) through 12 (f) congruent by the indicated postulate or theorem ...

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Lesson Prove Triangles Similar by SSS and SAS, continued Equality and DE 5 EF 5 DF by the Transitive Property, so the segments are congruent by definition. Therefore, nABC , nFED by the SSS Similarity Thm. 20. Sample answer: Because you are given that } OG is a median of nPGR and } SU 1. nTUV, O is the midpoint of PR} and S is the midpoint of TV}

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G.CO.B.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. G.CO.B.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

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Lesson Resources: 6.1 Ratios, Proportions, and the Geometric Mean 6.2 Use Proportions to Solve Geometry Problems 6.3 Use Similar Polygons 6.4 Prove Triangles Similar by AA 6.5 Prove Triangles Similar by SSS and SAS 6.6 Use Proportionality Theorems 6.7 Perform Similarity Transformations

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Here are two other ways to determine whether two triangles are similar. W V B S R 45 45 Q R P 85 70 70 K J L 30 51 39 62 68 Theorem 7-1 Side-Angle-Side Similarity (SAS )) Theorem Theorem If an angle of one triangle is congruent to an angle of a second triangle, and the sides that include the two angles are proportional, then the triangles are ...