5-5: Congruent Shapes

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

If ΔABC ≅ ΔDEF, what can we say about the angles and sides of these triangles?

Back

The corresponding angles of ΔABC and ΔDEF are congruent, and the corresponding sides are congruent.

Front

What is the measure of angle EDF if m∠BAC = 105° in congruent triangles ΔABC and ΔDEF?

Back

m∠EDF = 105°.

Front

If CB = 5 units in triangle ΔABC, what is the length of side FE in triangle ΔDEF if they are congruent?

Back

FE = 5 units.

Front

What is the relationship between the angles of two congruent triangles?

Back

The angles of two congruent triangles are congruent.

Front

If m∠Y’Z’X’ = 80° in triangle ΔXYZ and ΔX’Y’Z’, what can we conclude about the triangles?

Back

The triangles are congruent.

Front

How do you determine the perimeter of a triangle if you know the lengths of its sides?

Back

Add the lengths of all three sides together.

Front

If ΔABC ⩭ ΔRQP, what can we infer about the lengths of sides AB and QR?

Back

AB = QR.

Front

What is the perimeter of triangle ΔKLJ if the lengths of its sides are known to be 20, 25, and 28 units?

Back

Perimeter = 20 + 25 + 28 = 73 units.

Front

If two triangles are congruent, what can we say about their corresponding sides?

Back

Their corresponding sides are equal in length.