Congruent Figures Practice

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size. They can be superimposed on each other, meaning all corresponding sides and angles are equal.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates two figures are congruent. It is written in the form of ΔABC ≅ ΔDEF, meaning triangle ABC is congruent to triangle DEF.

Front

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

Back

If two triangles are congruent, their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Front

How do you denote congruence between angles?

Back

Congruence between angles is denoted using the symbol '≅'. For example, if angle A is congruent to angle B, it is written as ∠A ≅ ∠B.

Front

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

Back

The order of letters in a congruence statement indicates which vertices correspond to each other. For example, in ΔABC ≅ ΔDEF, A corresponds to D, B corresponds to E, and C corresponds to F.

Front

If ΔABC ≅ ΔXYZ, what can we conclude about the lengths of sides AB and XY?

Back

If ΔABC ≅ ΔXYZ, then the lengths of sides AB and XY are equal, meaning AB = XY.

Front

What is the relationship between the angles of congruent triangles?

Back

The angles of congruent triangles are equal. For example, if ΔABC ≅ ΔDEF, then ∠A = ∠D, ∠B = ∠E, and ∠C = ∠F.

Front

How can you determine if two triangles are congruent using side lengths?

Back

Two triangles can be determined to be congruent using the Side-Side-Side (SSS) postulate, which states that if all three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The Angle-Side-Angle (ASA) criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does the Side-Angle-Side (SAS) criterion state?

Back

The Side-Angle-Side (SAS) criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.