Review: Triangle Similarity and Congruence

What is the relationship between corresponding sides in similar triangles?

• The lengths of corresponding sides are equal.

• The lengths of corresponding sides are proportional.

• The lengths of corresponding sides are random.

• The lengths of corresponding sides are inversely related.

What is the formula for the area of a triangle?

• Area = base * height

• Area = 1/2 * base * height

• Area = base + height

• Area = base - height

What is the SSS Criterion for Congruence?

• The SSS Criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are congruent.

• The SSS Criterion states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

• The SSS Criterion states that if the perimeter of one triangle is equal to the perimeter of another triangle, then the triangles are congruent.

• The SSS Criterion states that if one side of a triangle is equal to one side of another triangle, then the triangles are congruent.

What is the AA Criterion for Similarity?

• The AA Criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

• The AA Criterion states that if two sides of one triangle are equal to two sides of another triangle, then the triangles are similar.

• The AA Criterion states that if the perimeter of one triangle is equal to the perimeter of another triangle, then the triangles are similar.

• The AA Criterion states that if the area of one triangle is equal to the area of another triangle, then the triangles are similar.

What is the relationship between corresponding angles in similar triangles?

• Corresponding angles are equal.

• Corresponding angles are supplementary.

• Corresponding angles are complementary.

• Corresponding angles are unequal.

If two triangles have one angle equal and the sides including that angle are in proportion, what can be said about the triangles?

• The triangles are similar by the SAS criterion.

• The triangles are congruent by the SSS criterion.

• The triangles are similar by the AA criterion.

• The triangles are not related.

What is the SAS Criterion for Congruence?

• The SAS Criterion states that if two sides of one triangle are equal to two sides of another triangle and the included angle is equal, then the triangles are congruent.

• The SAS Criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are congruent.

• The SAS Criterion states that if the lengths of all three sides of one triangle are equal to the lengths of all three sides of another triangle, then the triangles are congruent.

• The SAS Criterion states that if one side of a triangle is equal to one side of another triangle, then the triangles are congruent.

What is Triangle Similarity?

• Triangle similarity occurs when two triangles have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

• Triangle similarity occurs when two triangles have different shapes but the same size.

• Triangle similarity occurs when two triangles have the same area but different angles.

• Triangle similarity occurs when two triangles are congruent to each other.

How do you find a missing side in similar triangles?

• Set up a proportion using the lengths of the corresponding sides of the triangles.

• Add the lengths of the corresponding sides of the triangles.

• Subtract the lengths of the corresponding sides of the triangles.

• Multiply the lengths of the corresponding sides of the triangles.

How do you find a missing angle in a triangle?

• Add the known angles together and multiply by 2.

• Subtract the sum of the known angles from 180 degrees.

• Divide the sum of the known angles by 2.

• Use the Pythagorean theorem to find the missing angle.