Corresponding Parts of Congruent Triangles H

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 ∆ABC ≅ ∆XYZ, what can we conclude about the corresponding sides?

Back

AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Front

What is the Corresponding Parts of Congruent Triangles (CPCTC) theorem?

Back

CPCTC states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

Front

If ∠E is 45° and ∠B is 55°, what is the measure of ∠C in a congruent triangle?

Back

∠C = 180° - (∠E + ∠B) = 80°.

Front

In congruent triangles, if ∆LMK ≅ ∆LMT, what can we say about ∠K?

Back

∠K ≅ ∠T.

Front

If ΔDEF ≅ ΔRST, what can we conclude about ∠S?

Back

∠S ≅ ∠E.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.

Front

If AB ≅ XY, what does this imply about the lengths of segments AB and XY?

Back

The lengths of segments AB and XY are equal.

Front

What is the sum of the angles in any triangle?

Back

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

Front

If two angles of one triangle are equal to two angles of another triangle, what can be concluded?

Back

The two triangles are congruent (Angle-Angle criterion).