Congruent Figures Practice

What are congruent figures?

• Shapes that are identical in form and size, with all corresponding sides and angles equal.

• Shapes that are similar in form but differ in size.

• Shapes that can be transformed into one another through rotation or reflection.

• Shapes that have the same area but different dimensions.

What is a congruence statement?

• A statement that indicates two figures are similar.

• A mathematical statement that indicates two figures are congruent.

• A statement that shows the area of two shapes is equal.

• A statement that describes the perimeter of two shapes.

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

• AB = XY

• AB > XY

• AB < XY

• AB + XY = 0

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

• 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.

• 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.

• If all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.

• If one angle and two sides of one triangle are equal to one angle and two sides of another triangle, the triangles are congruent.

How do you find the measure of an angle in a congruent triangle?

• By measuring the angle directly with a protractor.

• By using the fact that corresponding angles are equal.

• By calculating the sum of the angles in the triangle.

• By using the Pythagorean theorem.

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

• By comparing their angles using the Angle-Angle (AA) postulate.

• By ensuring that the perimeter of both triangles is equal.

• By 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.

• By checking if the triangles have the same area.

What is the definition of a corresponding side in congruent figures?

• A side that is in the same relative position in both figures.

• A side that is equal in length to another side in a different figure.

• A side that is opposite to another side in the same figure.

• A side that is longer than the corresponding side in another figure.

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

• Their corresponding sides are equal in length, and their corresponding angles are equal in measure.

• Their corresponding sides are equal in length, but their corresponding angles are not necessarily equal.

• Their corresponding angles are equal in measure, but their corresponding sides are not necessarily equal in length.

• Their corresponding sides and angles can be different.

How do you denote congruence between angles?

• ∠A = ∠B

• ∠A ≅ ∠B

• ∠A ~ ∠B

• ∠A ≈ ∠B

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

• Their measures are equal.

• Their measures are complementary.

• Their measures are supplementary.

• Their measures are different.