Applying properties of triangles

When Alonzo is 5'11" tall, stands next to a basketball goal, his shadow is 2' long, and the basketball goal's shadow is 4'4" long. About how tall is the basketball goal?

• 12.8 ft

• 15.3 ft

• 14.2 ft

• 16.8 ft

 $m\angle1\cong m\angle2$  . If ZX=3 and ZB=5, and ZY=2, find ZA.

•  $\frac{10}{3}$  
  

•  $\frac{5}{6}$  

•  $\frac{6}{5}$  
  

•  $\frac{3}{10}$  
  

Find the value of y.

M, N, and P are the midpoints of each side of the triangle. Which side is parallel to MN?

• HG

• HI

• IG

• none are parrallel

In the figure shown below, E and G lie on AC, D and F lie on AB, DE and FG are parallel to BC, and the given lengths are in feet. What is the length of AC, in feet?

• 13

• 26

• 29

• 42

• 48

Find the value of x.

• 10

• 12

• 9

• -6

Triangle PQT with RS parallel to QT. If PR = 12, RQ = 8, and PS = 21, what is the length of PT?

• 14

• 17

• 35

• 38

Solve for X

• 7.5
• 4.8
• 13.33
• 5

Find the side length of AC.

• 42

• 72

• 60

• 45

DE is the midsegment of triangle ABC. Find BC

• 10.2

• 12.5

• 20.4

• 22.7