Proportional Parts of Similar Triangles

What is the relationship between corresponding parts of similar triangles?

• They are parallel.

• They are equal in length.

• They are proportional.

• They are congruent.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is a median in a triangle?

• A segment that connects two midpoints.

• A segment that connects a vertex to the midpoint of the opposite side.

• A segment that is perpendicular to the opposite side.

• A segment that bisects an angle.

Which segment connects two midpoints in a triangle?

• Mid-segment

• Angle bisector

• Altitude

• Median

Tags

CCSS.HSG.CO.C.10

What is an angle bisector in a triangle?

• A segment that connects a vertex to the midpoint of the opposite side.

• A segment that is perpendicular to the opposite side.

• A segment that connects two midpoints.

• A segment that cuts an angle into two congruent angles.

Tags

CCSS.HSG.CO.C.9

What is an altitude in a triangle?

• A segment that connects a vertex to the midpoint of the opposite side.

• A segment that is perpendicular to the opposite side.

• A segment that cuts an angle into two congruent angles.

• A segment that connects two midpoints.

How do you identify an altitude in a triangle diagram?

• Look for the bisected angles.

• Look for the longest segment.

• Look for the perpendicular segments.

• Look for the bisected segment.

In similar triangles, how do the ratios of corresponding medians compare?

• They are equal to the ratios of corresponding sides.

• They are twice the ratios of corresponding sides.

• They are half the ratios of corresponding sides.

• They are unrelated to the ratios of corresponding sides.

Tags

CCSS.HSG.SRT.A.2

Given two similar triangles with medians, if the ratio of one pair of corresponding sides is 91/78, what is the ratio of the corresponding medians?

• 84/91

• 78/91

• 91/84

• 91/78

How do you solve for a missing length using the proportionality of corresponding parts in similar triangles?

• By dividing the lengths of the sides.

• By subtracting the lengths of the sides.

• By setting up a proportion and cross-multiplying.

• By adding the lengths of the sides.

Tags

CCSS.HSG.CO.C.9

In a problem involving altitudes of similar triangles, if one altitude is 50 cm and the corresponding side lengths are 96 and 80, what is the length of the other altitude?

• 60 cm

• 96 cm

• 80 cm

• 50 cm

Tags

CCSS.HSG.CO.C.10