Test 1 - Congruent Triangles

Front

What is a congruence statement?

Back

A statement that indicates two geometric figures are congruent, meaning they have the same shape and size.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if their corresponding sides and angles are equal.

Front

List the criteria for triangle congruence.

Back

1. Side-Side-Side (SSS) 2. Side-Angle-Side (SAS) 3. Angle-Side-Angle (ASA) 4. Angle-Angle-Side (AAS) 5. Hypotenuse-Leg (HL) for right triangles.

Front

What is the significance of the symbol '≅'?

Back

It denotes that two figures are congruent.

Front

If ΔABC ≅ ΔDEF, what can we conclude about their corresponding parts?

Back

AB = DE, BC = EF, AC = DF and ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Front

What is the measure of an angle in a triangle if the other two angles are 25º and 55º?

Back

The measure of the third angle is 100º.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the relationship between congruent triangles and their areas?

Back

Congruent triangles have equal areas.

Front

What does it mean if two figures are not congruent?

Back

It means that the figures do not have the same shape and size.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.