Triangle congruence and similarity flashcards

Question 1

What does it mean for two triangles to be congruent?

Accepted Answer

Two triangles are congruent if a rigid motion maps one onto the other; equivalently, all corresponding sides and angles are equal.

Question 2

State the AAS congruence criterion.

Accepted Answer

If two pairs of corresponding angles and a non-included corresponding side are equal, then the triangles are congruent.

Question 3

State the SAS similarity criterion.

Accepted Answer

If two pairs of corresponding sides are proportional and the included angle between them is equal, then the triangles are similar.

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