Act Plane Geometry

How many units is the diameter of a circle with equation \left(x-2\right)^2+\left(y-4\right)^2=64 ?

• 2

• 4

• 8

• 12

• 16

Tags

CCSS.HSG.GPE.A.1

In an 8-inch by 8-inch checkerboard, each square has an edge length of 1 inch. What is the distance from one corner of the board to the other corner that is diagonally opposite of it?

• 4

• 8

• 16

Tags

CCSS.8.G.B.8

A triangle is formed by the line x=3, which its longest side overlaps, and 2 other lines, one of which has a slope of 1 and the other of which is perpendicular to the line with the slope of 1. Which of the following could be the lengths of the 2 shorter sides of the triangle?

• 2, 3

• 4, 7

• 5, 5

• 6, 2

• 8, 9

• A

• B

• C

• D

• E

Tags

CCSS.8.G.A.5

• A

• B

• C

• D

• E

Tags

CCSS.HSG.C.B.5

• A

• B

• C

• D

• E

Tags

CCSS.8.G.B.7

• 10

• 20

• 30

• 40

Tags

CCSS.HSG.SRT.B.4

• A

• B

• C

• D

Tags

CCSS.HSG.SRT.C.8

• A

• B

• C

• D

• E

Tags

CCSS.8.G.B.8

A ladder is 10 ft long and reaches 8 ft up a wall, as shown in the figure. How many feet is the bottom of the ladder from the base of the wall?

• 2

• 3

• 6

Tags

CCSS.8.G.B.8