Corresponding parts of congruent figures are congruent

Front

What does it mean for two figures to be congruent?

Back

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

Front

What is the symbol used to denote congruence?

Back

The symbol for congruence is '≅'.

Front

If ΔABC ≅ ΔDEF, what can we say about their corresponding parts?

Back

The corresponding parts of congruent figures are congruent, meaning AB ≅ DE, BC ≅ EF, and AC ≅ DF.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two figures are congruent, often written in the form of ΔABC ≅ ΔDEF.

Front

How do you write a congruence statement for two triangles?

Back

To write a congruence statement for two triangles, list the vertices in corresponding order, such as ΔABC ≅ ΔDEF.

Front

What is the importance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which parts of the figures correspond to each other.

Front

What does the term 'corresponding angles' refer to?

Back

Corresponding angles are angles that are in the same relative position in two different figures.

Front

What does the term 'corresponding sides' refer to?

Back

Corresponding sides are sides that are in the same relative position in two different figures.

Front

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

Back

If two triangles are congruent, all corresponding angles are equal.

Front

If ΔXYZ ≅ ΔABC, what is true about angle X and angle A?

Back

Angle X is congruent to angle A, meaning ∠X ≅ ∠A.