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Congruent Triangles

Congruent Triangles

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Lesson

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7 minute activity

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Two congruent triangles with corresponding vertices and matching side and angle marks labelled A, B, C and D, E, F Congruent triangles are exactly the same shape and exactly the same size. One triangle can be moved, rotated, or reflected onto the other, but every matching side and angle still agrees.

When we write △ABC≅△DEF\triangle ABC \cong \triangle DEF△ABC≅△DEF, the order tells you the matching vertices: A↔DA \leftrightarrow DA↔D, B↔EB \leftrightarrow EB↔E, and C↔FC \leftrightarrow FC↔F. Getting this order right matters because it tells you which angles and sides correspond.

Questions

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20 exam-style questions

Practice questions

Question 1

4 marks

PQRS PQRS\,PQRS is a kite where PQ=PSPQ = PSPQ=PS and QR=SRQR = SRQR=SR.

Flashcards

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23 flashcards

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After proving two triangles are congruent, what equality fact can you use?

Congruent Triangles Revision Guide

  1. GCSE
  2. /Maths
  3. /Congruent Triangles

Revision notes for WJEC GCSE Maths Congruent Triangles: explanations and worked examples.

Practise questions

1 of 5

A diagonal ACACAC divides parallelogram ABCDABCDABCD into triangles ABCABCABC and CDACDACDA. Which congruence test proves that the triangles are congruent?