Corresponding Parts of Congruent Triangles

Front

What does the symbol ≅ represent in geometry?

Back

The symbol ≅ means 'congruent', indicating that two figures have the same shape and size.

Front

If triangle ABC is congruent to triangle MNO, what can we say about their corresponding sides and angles?

Back

The corresponding sides and angles of congruent triangles are equal.

Front

Find the value of x if AC = 34, AB = 14 - x, and MO = 3x - 2 in the congruent triangles ∆ABC ≅ ∆MNO.

Back

x = 12.

Front

What is the definition of congruent triangles?

Back

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

Front

If two triangles are congruent, what can we conclude about their perimeters?

Back

The perimeters of congruent triangles are equal.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.

Front

If triangle DEF is congruent to triangle XYZ, and angle D = 50°, what is the measure of angle X?

Back

Angle X = 50°.

Front

Solve for x: If triangle PQR is congruent to triangle STU, and PQ = 5x + 3 and ST = 18, what is x?

Back

x = 3.

Front

What is the Side-Angle-Side (SAS) congruence criterion?

Back

The SAS criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) congruence criterion?

Back

The ASA criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.