12-6 Geometry Warm-Up

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

If △BAC ≅ △QPR, what can we say about the corresponding sides and angles?

Back

The corresponding sides and angles of the triangles are equal: AB = QR, BC = PR, AC = RQ, and ∠A = ∠Q, ∠B = ∠R, ∠C = ∠P.

Front

What is the congruence statement for triangles that are congruent?

Back

A congruence statement lists the corresponding vertices of congruent triangles in order, such as △ABC ≅ △DEF.

Front

If BC = 15, AB = 9, AC = 12 in △BAC and △QPR is congruent, what is RQ?

Back

RQ = 15.

Front

If ∆XYZ ≅ ∆KLM, what can we conclude about ∠Y?

Back

∠Y ≅ ∠L.

Front

If ∆PIG ≅ ∆COW, what is WO if GI = ?

Back

WO = GI.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

If ∠E is 45° and ∠B is 55° in congruent triangles, what is ∠ACB?

Back

∠ACB = 80°.

Front

What is the definition of corresponding angles in congruent triangles?

Back

Corresponding angles are angles that are in the same relative position in two different triangles.

Front

What is the definition of corresponding sides in congruent triangles?

Back

Corresponding sides are sides that are in the same relative position in two different triangles.