Solving for Corresponding Parts of a Similar Triangle

Name the corresponding angle or side.

• A

• B

• C

• D

The corresponding angle to angle C is:

• Angle Q

• Angle P

• Angle R

• none of the answers

What angle corresponds to Angle E?

• Angle S

• Angle T

• Angle R

∠A corresponds with which ∠ in the other triangle ?

• ∡L

• ∡M

• ∡N

• None

In the figure ∆ABC~∆DEF. Find the values of x and y. x= ​ ​ (a)   y=​ ​ (b)  

• 124

• 10

• 20

• 57

• 36

Answer explanation

Using the similarity statement, we know angle A and angle D are the same measure. Set those equal and solve for x

2x+10=124

2x=114

x=57

We also know that angles F and C are the same. We don't know either angle, but can solve for F using the triangle sum theorem.

Angle F=180-124-20 = 36. Therefore, y=36.

_______ of similar triangles are in the same ratio as the lengths of corresponding sides.

• Corresponding altitudes

• Corresponding medians

• Corresponding angle bisectors

• Triangle perimeters

Enter a number only.

Mathematical Equivalence

ON

Corresponding altitudes, medians, and angle bisectors in similar triangles are in the same ratio as the side lengths of the similar triangles.

• True

• False

What is Side AB corresponding side?

• PR

• QR

• PQ

• AC

What angle is the corresponding angle to angle B?

• Angle P

• Angle R

• Angle Q

• Angle A