Similar Triangles

If the sides of two similar triangles are in the ratio 2:3, what can be said about their areas?

• The areas of the triangles are in the ratio of 2:3.

• The areas of the triangles are in the ratio of 3:4.

• The areas of the triangles are in the ratio of 4:9.

• The areas of the triangles are equal.

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 6 cm, what is the ratio of AB to DE?

• 4:5

• 2:3

• 1:2

• 3:4

What is the term for two angles that add up to 90°?

• Supplementary angles

• Adjacent angles

• Complementary angles

• Vertical angles

If triangle ABC is similar to triangle DEF and the length of side AC is 9 cm, what is the length of side DF if the ratio of sides is 3:4?

• 10 cm

• 11 cm

• 12 cm

• 13 cm

If @@\frac{n}{4} = \frac{8}{7}@@, what is the value of n?

• @@\frac{32}{7}@@

• @@\frac{16}{7}@@

• @@\frac{24}{7}@@

• @@\frac{40}{7}@@

What is the sum of the interior angles of a triangle?

• 90°

• 180°

• 360°

• 270°

What does it mean for two shapes to be congruent?

• Two shapes are congruent if they are the same shape and size.

• Two shapes are congruent if they have the same color.

• Two shapes are congruent if they are similar but not necessarily the same size.

• Two shapes are congruent if one can be transformed into the other by rotation only.

What are similar triangles?

• Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

• Triangles that have different shapes and sizes, with no equal angles.

• Triangles that are identical in size and shape, with all sides equal.

• Triangles that have one angle equal and the other two angles different.

What is the relationship between the sides of similar figures?

• The sides of similar figures must be proportional.

• The sides of similar figures are always equal.

• The sides of similar figures can be any length.

• The sides of similar figures must be perpendicular.

What is the missing angle in a triangle if two angles measure 47° and 86°?

• 47°

• 45°

• 50°

• 60°