Congruence and Similarity

Which pairs of triangles are congruent?

a

A

B

C

D

b

Give the reason for the congruence.

AAS: Two equal angles and one included side

A

RHS: Two right-angled triangles with equal hypotenuses and one equal side.

B

SSS: Three equal sides

C

SAS: Two equal sides and one included angle

D

Easy

Less than a minute

Write a mathematical expression stating that the two triangles are congruent, naming the vertices in corresponding order.

Consider the two triangles below:

An isosceles triangle is cut along its perpendicular height.

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Describe and compare the concepts of similarity and congruence