△ Congruence Statements Exit Ticket

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is a congruence statement for triangles?

Back

A congruence statement for triangles indicates that two triangles are congruent, meaning they have the same size and shape. It is written as △ABC ≅ △DEF.

Front

If ∠C ≅ ∠F, what can we conclude about their measures?

Back

We can conclude that the measure of ∠C is equal to the measure of ∠F.

Front

What is the significance of the symbol '≅' in geometry?

Back

The symbol '≅' denotes that two figures are congruent.

Front

How do you denote congruent line segments?

Back

Congruent line segments are denoted with a line over the letters, for example, \overline{AB} \cong \overline{CD}.

Front

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

Back

If two triangles are congruent, their corresponding angles and sides are also congruent.

Front

What is the relationship between congruence and similarity in triangles?

Back

Congruence means the triangles are the same size and shape, while similarity means they have the same shape but may differ in size.

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Congruence Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

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

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

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