Unit 3 Review: Pythagorean Theorem

A right triangle has a hypotenuse measuring 29 inches and a leg measuring 20 inches. What is the measure of the other leg?

Mathematical Equivalence

ON

Tags

8.7.C

A rectangular garden is surrounded by a fence that is 16 feet in length and 12 feet in width. There is a diagonal walkway from one corner of the garden to the opposite corner. What is the length of the walkway?

• 4 feet

• 11 feet

• 28 feet

• 20 feet

Tags

8.7.C

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in the diagram. Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake?

Mathematical Equivalence

ON

Tags

8.7.C

1. To get from point A to point B, you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, what is the distance across the pond?

Mathematical Equivalence

ON

Tags

8.7.C

Which measurements could represent the side lengths of a right triangle?

Groups:

(a) Right Triangle

,

(b) Not a right triangle

• 7 cm, 24 cm, 25 cm

• 30 cm, 72 cm, 78 cm

• 5 cm, 5 cm, 5 cm

• 5 cm, 12 cm, 13 cm

• 40 cm, 60 cm, 100 cm

• 10 cm, 12 cm, 15 cm

Tags

8.7.C

Which is true about the model?

• The area in square C is the same as the sum of the areas in square A and B.

• The area in square B is the same as the sum of the areas of square A and C.

• The area of square A is the same as the sum of the areas of square C and B.

• None of these.

Tags

8.6.C

What is the distance in units between point (-5, -3) and the origin?

• 5.8

• 4

• 6.7

• 5

Tags

8.7.D

What is the approximate distance between (7,4) and (-3,-2)?

• 12.8

• 11.6

• 9.4

• 10.7

Tags

8.7.D

A pig pen is in the shape of a triangle and sits up against the side of a shed, using 20 feet along the side of the shed as one side of the enclosure, as shown below. How much fencing is needed to enclose the other TWO sides of the pen?

• 16 ft

• 28 ft

• 48 ft

• 25 ft

Tags

8.7.C

Which group of three squares will form a right triangle when joined at their vertices?

• F

• G

• H

• J

Tags

8.6.C