8th Grade Pythagorean Theorem and Coordinate System - 8.G.B.8 Worksheet & Printable

A point lies in Quadrant III. Which of the following is true?

A

Both x and y coordinates are positive.

B

x is positive but y is negative.

C

x is negative but y is positive.

D

Both coordinates are negative.

Standard: 8.G.B.8

Domain: Geometry

Theme: Understand and apply the Pythagorean Theorem

Description: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

You are using a coordinate plane to sketch out a plan for your vegetable garden. Your garden will be a rectangle 15 ft wide and 20 ft long. You want a square in the center with 3 ft sides to be reserved for flowers. If the garden is plotted on the coordinate plane with the southwest corner at the origin, what are the coordinates of the center of the flower garden?

A

(15, 10)

B

(7.5, 10)

C

(-15, 10)

D

(-7.5, 10)

Standard: 8.G.B.8

Domain: Geometry

Theme: Understand and apply the Pythagorean Theorem

Description: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

You are using a coordinate plane to sketch out a plan for a vegetable garden. The garden will be a rectangle 15 feet wide and 20 feet long. You want a square in the center with 3 foot sides to be reserved for flowers. The garden is plotted in the coordinate grid so that the southwest corner is placed at the origin.

Find the length of the diagonal (approximately) of the flower bed.

A

4.0 feet

B

4.2 feet

C

5.0 feet

D

5.2 feet

Standard: 8.G.B.8

Domain: Geometry

Theme: Understand and apply the Pythagorean Theorem

Description: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Two boys are running track. They decide to start in the northwest corner and go opposite directions around the rectangular track. If the width of the track is 180 yards and the diagonal is 300 yards, what is the length of the track?

A

120 yards

B

180 yards

C

240 yards

D

280 yards

Standard: 8.G.B.8

Domain: Geometry

Theme: Understand and apply the Pythagorean Theorem

Description: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

If a point P (7, 8) is rotated 90° clockwise about the origin, reflected in the vertical axis, and then rotated clockwise 90° about the origin again, where will it finally end up?

A

(7, -8)

B

(-7, 8)

C

(8, -7)

D

(-8, -7)

Standard: 8.G.B.8

Domain: Geometry

Theme: Understand and apply the Pythagorean Theorem

Description: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.


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