Regents Geometry

For a circle of radius 7 feet, find the arc length s cut off by a central angle of 6 degrees

• 42 pi feet

• 7/10 pi feet

• 7/30 pi feet

• 7/15 pi feet

In the scalene triangle ABC shown in the diagram below, M< C = 90 degrees. Which equation is always true?

• sin A = Sin B

• Cos A = Cos B

• Cos A = Sin C

• Sin A = Cos B

A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height?

• 1.2

• 3.5

• 4.7

• 14.1

Quadrilateral ABCD is inscribed in the circle. Which sentence is true?

• A and B are supplementary

• A and C are supplementary

• m∠ A = m∠ B

• m∠ C = m∠ D

Find the missing side using proportions.

• a

• b

• c

• d

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

FIND THE SECTOR AREA OUTLINED IN BOLD

• A

• B

• C

• D

What is the scale factor?

• 1/2

• 7/3

• 2

• 10/3

Solve for x

• 8

• 4

• 12

• 6

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin

• Rotate -90 degrees around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.