Geometry Pre-AP 5th 6 Weeks Assessment

A plane traveled 322 miles from El Paso in a direction 57° northeast as shown below. What is the height of the plane, to the nearest mile?

• 175 miles

• 270 miles

• 209 miles

• 384 miles

Tags

CCSS.HSG.SRT.C.8

The floor of a moving van is 3 feet off of the ground. The ramp into the van makes a 12° angle with the ground. How long is the ramp?

• 14.4 feet

• 14.1 feet

• 12 feet

• 3.1 feet

Tags

CCSS.HSG.SRT.C.8

What is the length of BC in triangle ABC?

• 4

• 2.83

• 5.66

• 2

Tags

CCSS.HSG.SRT.C.8

A pole is placed perpendicular to the ground and extends 35 feet above the ground. A 45-foot length of rope anchors the top of the pole to the ground.

Which is closest to x, the distance between the base of the pole and the spot where the rope is anchored to the ground?

• 10 feet

• 28 feet

• 35 feet

• 57 feet

Tags

CCSS.8.G.B.8

The volume of a small rubber ball is 15 cubic inches. If the radius of the ball were tripled, what would be the volume of the new, larger ball?

• 15 cubic inches

• 45 cubic inches

• 135 cubic inches

• 405 cubic inches

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A rectangular prism is shown.

If the prism is dilated by a scale factor of 1/5, which statement is true?

• The surface area of the new prism is 1/5 the surface area of the original prism.

• The surface area of the new prism is 1/25 the surface area of the original prism.

• The surface area of the new prism is 1/10 the surface area of the original prism.

• The surface area of the new prism is 1/125 the surface area of the original prism.

Tags

CCSS.7.G.B.6

A parallelogram with a base of y units and a height of x units is changed to have a new base of 4y units and a height of 2x units, as shown.

If the area of the original parallelogram is 30 square units, determine the area of the new parallelogram.

• 60 units²

• 120 units²

• 240 units²

• 300 units²

Tags

CCSS.7.G.A.1

An architect is designing an office building in the shape of a regular pentagon. Each side of the regular pentagon is to measure 200 feet, and the apothem will have an approximate length of 138 feet. Which of these is closest to the area of the proposed building?

• 27,600 feet²

• 69,000 feet²

• 100,000 feet²

• 138,000 feet²

Tags

CCSS.6.G.A.1

Dean is building a gazebo with a floor shaped like a regular hexagon. The plans call for the radius of the hexagon to be 10 feet long. Which is closest to the area of the floor?

• 519.6 square feet

• 259.8 square feet

• 86.6 square feet

• 60 square feet

Which is closest to the area of the heart shape shown?

• 18 units²

• 27 units²

• 34 units²

• 41 units²