Unit 4 Review

What is the definition of congruence of shapes?

• Congruence of shapes refers to the condition in which two or more shapes have the same shape but different sizes

• Congruence of shapes refers to the condition in which two or more shapes have the same size but different shapes

• Congruence of shapes refers to the condition in which two or more shapes have the same size and shape, and all corresponding sides and angles are equal.

• Congruence of shapes refers to the condition in which two or more shapes have different sizes and shapes

What are the properties of isosceles triangles?

• Isosceles triangles have three sides of equal length and three equal internal angles.

• Isosceles triangles have two sides of equal length and two equal internal angles.

• Isosceles triangles have two sides of different lengths and two equal internal angles.

• Isosceles triangles have two sides of equal length and one internal angle of 90 degrees.

How do you determine if two triangles are congruent using the SSS criterion?

• By comparing the area of the two triangles

• By comparing the color of the two triangles

• By comparing the angles of the two triangles

• By comparing the lengths of the three sides of each triangle to see if they are equal.

What are the properties of equilateral triangles?

• All three sides are of equal length, but the angles are of different measures.

• Two sides are of equal length, and two angles are of equal measure.

• All three sides are of different lengths, and all three angles are of different measures.

• All three sides are of equal length, and all three angles are of equal measure.

Explain the SAS criterion for determining congruence of triangles.

• The SAS criterion 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.

• In the SAS criterion, 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 similar.

• According to the SAS criterion, if two sides and a non-included angle of one triangle are congruent to two sides and a non-included angle of another triangle, then the triangles are congruent.

• In the SAS (Side-Angle-Side) criterion, 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.

What are the angle measures in an equilateral triangle?

• 90°

• 45°

• 60°

• 120°

Explain the ASA criterion for determining congruence of triangles.

• ASA criterion states that all sides of the triangle must be equal

• The ASA criterion is based on the sum of all angles in a triangle

• The ASA criterion for determining congruence of triangles is 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 two triangles are congruent.

• ASA criterion only applies to right-angled triangles

How do you prove two shapes are congruent?

• By showing that all corresponding sides are different in length but all corresponding angles are equal in measure.

• By showing that all corresponding sides are equal in length but all corresponding angles are different in measure.

• By showing that all corresponding sides are different in length and all corresponding angles are different in measure.

• By showing that all corresponding sides are equal in length and all corresponding angles are equal in measure.

How do you determine if two triangles are congruent using the AAS criterion?

• By checking if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

• By checking if the area of one triangle is equal to the area of another triangle

• By checking if all three sides of one triangle are congruent to all three sides of another triangle

• By checking if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle

Explain the HL criterion for determining congruence of right-angled triangles.

• The HL criterion states that if the hypotenuse and one side of one right-angled triangle are equal to the hypotenuse and one side of another right-angled triangle, then the two triangles are not congruent.

• The HL criterion states that if the hypotenuse and one side of one right-angled triangle are equal to the hypotenuse and one side of another right-angled triangle, then the two triangles are congruent.

• The HL criterion states that if the hypotenuse and one side of one right-angled triangle are equal to the hypotenuse and one side of another right-angled triangle, then the two triangles are only similar if the angles are also equal.

• The HL criterion states that if the hypotenuse and one side of one right-angled triangle are equal to the hypotenuse and one side of another right-angled triangle, then the two triangles are similar.