Pythagorean Theorem with Similar Triangles

Which triangle is similar to ∆MNO?

• ∆PNM

• ∆MPN

• ∆PMN

• ∆NPM

Which triangle is similar to ∆ABC

• ∆BCD

• ∆CBD

• ∆CDB

• ∆BDC

In the figure, AD = 10 and BD = 5, find the length of CB.

• 5

In the figure, AD = 10 and BD = 5, find the length of AC.

• 5

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

In the figure, AD = 10 and BD = 5, find the length of CD.

• 5

In the figure, DF = 6, FB = 8, find the length of CF

• 4.5

• 4

• 6

• 3.5

Pythagorean Theorem tells us that the ​ (a)   ​+ the BLUE AREA

= ​ the (b)  

• RED AREA

• PURPLE AREA

• BLUE AREA

Find the missing value of y.

• 
• 

Gwendolyn placed a 10 foot ladder against the side of her house so that the base of the ladder was 3 feet from the base of the house, as shown in the diagram. 
Which measurement in feet is closest to d, the distance from the top of the ladder to the ground? 

• 10.4 ft

• 7.0 ft

• 6.5 ft

• 9.5 ft