ACT Geometry Formulas

In the figure, all angles are right angles, and the side lengths given are in centimeters. What is the area, in square centimeters, of the figure?

• 42

• 75

• 93

• 99

• 117

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.MG.A.1

In the standard (x,y) coordinate plane, what is the midpoint of the line segment that has endpoints (-6,9) and (2,5)?

• (-4,-4)

• (-2,7)

• (4,-2)

• (8, -4)

Tags

CCSS.HSG.GPE.B.6

Graphed in the standard (x,y) coordinate plane below is a right triangle with vertices (0,0), (-40,0), and (0,30). What is the length, in coordinate unites, of the hypotenuse of the triangle?

• 30

• 35

• 40

• 50

• 70

Tags

CCSS.HSG.GPE.B.7

CCSS.HSG.SRT.C.8

One side of square ABCD has a length of 15 meters. A certain rectangle whose area is equal to the area of ABCD has a width of 10 meters. What is the length, in meters, of the rectangle?

• 15

• 20

• 22.5

• 25

• 37.5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.3

In the standard (x,y) coordinate plane, what is the slope of the line through (-6,4) and (1,3)?

Tags

CCSS.HSG.GPE.B.5

CCSS.HSS.ID.C.7

The volume of a cone is given by the formula:  V = π/3 r² h, where r is the radius of the base of the cone and h is the height of the cone.  What is the volume, in cubic centimeters, of a cone with a height of 8 cm and a base with a radius of 3 cm?

• 72π
• 48π
• 24π
• 12π

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

A circle has a circumference of 16π feet. What is the radius of the circle, in feet?

• √8
• 4
• 8
• 16

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.3

CCSS.HSG.GMD.A.1

Find the perimeter

• 25cm
• 35cm
• 50cm
• 100cm

Tags

CCSS.HSG.GPE.B.7

What is the area of the shaded region?

• 4 cm²
• 16 cm²
• 8 cm²
• 12 cm²

Tags

CCSS.6.G.A.1

• 16

• 20

• 21

• 28

• 40

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8