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 two triangles are congruent, what can be said about their corresponding sides and angles?

Back

The corresponding sides and angles of congruent triangles are equal.

Front

Solve for x: If ∆ABC ≅ ∆MNO, AC = 34, AB = 14 - x, and MO = 3x - 2, what is x?

Back

x = 12.

Front

If ∠C = 40° in congruent triangles, what is the measure of ∠F?

Back

∠F = 40°.

Front

What is the relationship between the sides of congruent triangles?

Back

The lengths of corresponding sides of congruent triangles are equal.

Front

If two angles in one triangle are equal to two angles in another triangle, what can be concluded about the triangles?

Back

The triangles are congruent by the Angle-Angle (AA) criterion.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures are identical in shape and size.

Front

If AB = 14 - x and AC = 34, what is the value of x when ∆ABC ≅ ∆MNO?

Back

x = 12.

Front

What is the measure of ∠F if ∠C = 40° in congruent triangles?

Back

∠F = 40°.

Front

What is the formula for finding the length of a side in congruent triangles?

Back

The lengths of corresponding sides are equal, so if AB = AC, then AB = AC.