Triangle Properties and Congruence Review 24-25

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is 180 degrees.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem used to prove triangle congruence.

Front

How do you find the measure of a missing angle in a triangle?

Back

To find the measure of a missing angle, subtract the sum of the known angles from 180 degrees.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What is the difference between ASA and AAS in triangle congruence?

Back

ASA (Angle-Side-Angle) requires two angles and the included side, while AAS requires two angles and a non-included side.

Front

If two angles of a triangle are 30 degrees and 70 degrees, what is the measure of the third angle?

Back

The third angle measures 80 degrees (180 - 30 - 70 = 80).

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the Transitive Property in geometry?

Back

The Transitive Property states that if one figure is congruent to a second figure, and the second figure is congruent to a third figure, then the first and third figures are congruent.

Front

How can you determine the smallest angle in a triangle?

Back

The smallest angle in a triangle is opposite the shortest side.

Front

What is the purpose of marking angles and sides in triangle congruence proofs?

Back

Marking angles and sides helps to visually represent congruence and clarify which parts of the triangles are being compared.