Similar Triangles Review with Proportions

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 21 feet. How tall is the building? (Draw a picture, set up a proportion)

• 16 feet

• 21 feet

• 24 feet

• 28 feet

If the triangles are similar, state why.

• AA

• SAS

• SSS

• Not similar

Why are the triangles similar?

• AA

• SAS

• SSS

• Not similar

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA

• SAS

• SSS

• Not Similar

How do these triangles appear to be similar?

• AA

• SAS

• SSS

• Not Similar

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

Given ΔEFG ~ ΔHIG with a scale factor of 3:4, HG = x + 3 and EG = x +1, find the value of x.

• 5

• 2

• 9

• 3

Find the missing length indicated.

• 30

• 25

• 45

• 50

QR is a midsegment of triangle BCD. Solve for the value of x.

• 11

• 18

• 9

• -7

• YXZ

• XZY

• ZXY

• ZYX