*assignment_return*Course Name:Lumos StepUp - SBAC Online Practice And Assessments - Grade 8 Mathematics

*assignment_return*Worksheet:
Pythagorean Theorem And Coordinate System

Standard(s): 8.G.B.8

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

Both x and y coordinates are positive.

x is positive but y is negative.

x is negative but y is positive.

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?

(15, 10)

(7.5, 10)

(-15, 10)

(-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.

4.0 feet

4.2 feet

5.0 feet

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?

120 yards

180 yards

240 yards

280 yards

## Standard: 8.G.B.8

## Domain: Geometry

## Theme: Understand and apply the Pythagorean Theorem

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?

(7, -8)

(-7, 8)

(8, -7)

(-8, -7)