Distance, Midpoint, and Pythagorean Theorem

Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 

• (4, 3.5)
• (3.5, 5)
• (3.5, 4.5)
• (5, 3.5)

Tags

CCSS.HSG.GPE.B.6

Find the distance between J and K.

• 8.2
• 7.7
• 9
• 10.2

Tags

CCSS.HSG.GPE.B.7

Find the direct distance between the court house and the town hall.

• 26
• 6.8
• 10
• 7.2 km

Tags

CCSS.HSG.GPE.B.7

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school? 

• 14 blocks
• 12 blocks
• 10 blocks
• 8.5 blocks

Tags

CCSS.8.G.B.8

Find the distance between (-3, -11) and (8, -42).

• 32.1
• 32.3
• 32.7
• 32.9

Tags

CCSS.HSG.GPE.B.7

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

Tags

CCSS.8.G.B.8

 The right triangle below is formed by squares A, B, and, C. Square A has an area of 25 meters and Square C has an area of 169 square meters. What is the area of Square B?
See Study Guide

• 161 square meters
• 144 square meters

Tags

CCSS.8.G.B.8

Which of the following examples with given side lengths would create a right triangle? Explain your reasoning.

Triangle A = 10 inches, 13 inches, 17 inches

Triangle B = 6 meters, 8 meters, 10 meters

• a

• b

Tags

CCSS.8.G.B.8

What is the perimeter of a right triangle if the hypotenuse is 15 centimeters and one of the legs is 9 centimeters?

• 36 cm
• 39 cm

Tags

CCSS.3.MD.D.8

Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches Mattie’s house. How much further did Caroline walk using this route instead of taking a straight path to Mattie's house?

• 4 blocks

• 10 blocks

• 14 blocks

• 100 blocks

Tags

CCSS.8.G.B.8