Similarity and Pythagorean

A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft

• 11ft

• 6ft

• 14ft

Use the information in the diagram to determine the height of the tree.

• 80 feet

• 320 feet

• 40 feet

• 160 feet

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

• yes 

• no

How is AB written in the distance formula?

Find the distance.

• 9.7

• 10.7

• 11.7

• 12.7

How long is side x?

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Find side length X.

• 30

• 25

• 15

• 40

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.