Geometry Benchmark Review

Graph right triangle RST with vertices R(-3, 6), S(3, 6), and T(3, -2). Then find the center and radius of the circumscribed circle for Triangle RST>

• center (-2, 0), radius = 3

• center (0, 2), radius = 5

• center (2, 0), radius = 3

• center (0, -2), radius = 5

Tags

CCSS.HSG.C.A.3

The measurements of the circumferences and radii of circles with different areas are recorded and analyzed. Which statement justifies why this information can be used to approximate the value of pi?

• The area of a circle varies inversely with the radius

• The circumference of a circle varies inversely with the radius

• The circumference of a circle varies directly as the radius

• The area of a circle varies directly as the radius

Tags

CCSS.7.G.B.4

Triangle RST ~ Triangle UST

Select the true statement.

• Triangle STU is a right triangle

• RS = 4/3 x cm. in length

• <RVS + <UST = 90 degrees

• <VRS = <STU

Tags

CCSS.HSG.SRT.A.2

In the figure, Ray PS is tangent to circle O at point S. Arc QR measure 110^o and Arc RS measures 150^o.

What is the measure, in degrees, of <QPS?

• 100

• 75

• 55

• 25

Tags

CCSS.HSG.C.A.2

What is the area cleared by the windshield wiper blade?

• 125 in²

• 183 in²

• 367 in²

• 790 in²

Tags

CCSS.HSG.C.B.5

In the figure shown Triangle RST ~ Triangle UVW.

Which of the following expressions represents tan(R) in terms of m and p?

• m/2p

• 2p/m

• 2m/p

• p/2m

Tags

CCSS.HSG.SRT.A.2

The two chords shown in the circle intercept the given arcs. What is the measure of <MPN?

• 70^o

• 75^o

• 115^o

• 150^o

Tags

CCSS.HSG.C.A.2

Andrea wants to build a rectangular play area for her dog using 36 feet of fencing. She wants the play area to be as large as possible. Determine the length and width, in feet, of the play area Andrea should build.

Length = ___________, Width = ___________

• 2, 16

• 3, 15

• 6, 6

• 9, 9

Tags

CCSS.4.MD.A.3

Parallelogram RSTU is shown. The perimeter of parallelogram RSTU is 50 centimeters. What is the value for x?

• -5

• -2

• 3

• 12

Tags

CCSS.HSG.CO.C.11

Chris is looking up at the top of a tree. He is standing 20 feet from the tree and his line of sight is 35^o from horizontal. His eyes are 5 feet above ground. To the nearest foot, how tall is the tree?

• 14

• 16

• 19

• 25

Tags

CCSS.HSG.SRT.C.8