Review Guide for Geometry 4.0

Given the two equations:

Circle M: (x + 3)² + (y+9)² = 64

Circle N: (x + 3)² + (y+9)² = 256

How many times larger is the radius of Circle N compare to Circle M?

• I don't know. I need to ask for help.

• Eight times bigger.

• Four times bigger.

• Two times bigger.

Tags

CCSS.7.G.A.1

The equation of a circle is (x + 3)² + (y - 7)² = 81. Identify the center and radius of the circle.

• (-3, -7) Radius: 9

• (-3, 7) Radius: 9

• (-3, 7) Radius: 81

• (-3, -7) Radius: 9

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with a center at (0, 8) and a radius of 6.

• x² + (y-8)² = 36

• (x - 8)² + y² = 36

• x² + (y-8)² = 6

• (x-8)² + y² = 6

Tags

CCSS.HSG.GPE.A.1

What will happen to the volume of a cube if the length of the edge is decreased by 1/5?

What is the new volume if the original was 500 cm³ ?

• The cube is increased by a scale of 125 creating a new volume of 4 cm³.

• The cube is increased by a scale of 0.008 creating a new volume of 4 cm³.

• The cube is increased by a scale of 0.2 creating a new volume of 100 cm³.

• The cube is increased by a scale of 0.04 creating a new volume of 20 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

If the figure is rotated about the y-axis, then a cylinder can form, what are the lengths of the radius and height of the cylinder?

• Radius of 2 and height of 12.

• Radius of 12 and height of 2.

• Radius of 2 and height of 6.

• Radius of 6 and height of 2.

Tags

CCSS.7.G.A.3

Determine the length of the diameter of circle C if the center is at (0, -2) and the point (10,-2) is on the circle.

• 10

• 20

• 30

• 40

Tags

CCSS.HSG.GPE.A.1

What is the shape formed by the intersection of the plane with the 3D figure shown?

• Hexagon

• Triangle

• Circle

• Pentagon

Tags

CCSS.7.G.A.3

What is the equation of the circle shown?

• x² + 2x + y² +2y -2 = 0

• x² -2x + y² +2y -2 = 0

• x² - 2x + y² +2y +2 = 0

• x² - 2x + y² +2y + 4 = 0

Tags

CCSS.HSG.GPE.A.1

What is the volume of the space between the cylinder and spheres? Radius of the sphere is  2cm.

• 30.4 cm³

• 33.5 cm³

• 100.5 cm³

• 43.9 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the figure.

• 819 cm³

• 834 cm³

• 835 cm³

• 841 cm³

Tags

CCSS.7.G.B.6