Geometry Questions

Supply the missing reasons to complete the proc Given ZQZT and QR TR Prove PR SR Statement 1 2Q 4T and QR TR 2 ZPRQ SRT 3 APRQ ASRT 4 PR SR T S Reasons 1 Given 2 Vertical angles are congruent 3 4 OA ASA Substitution B SAS CPCTC C AAS CPCTC OD ASA CPCTC

27 Find the values of x and y A B 20 of D Drawing not to scale 47 OA OB x QC x OD x C X x 90 y 47 43 y 47 47 y 43 90 y 43

Find the area of the circle Leave your answer in terms of 3 6 m OA 1 8 m OB 25 82 m OC 46 66 m OD 12 96 m

Classify the polygon by its sides OA octagon OB hexagon Oe quadrilateral OD pentagon

Solve the proportion 3y 8 12 215 OD 40 3 y OA 10 OB 7 OC 3 40

7 Assume that lines that appear to be tangent are tangent O is the center of the circle Find the value of x Figures are not drawn to scale m 0 111 OA 291 OB 69 C 55 5 OD 222

5 Solve for a and b 10 OA OB OC OD 8 T 1 D N Z N 16 A By 11 2N DIN 20 11 n 10 15

15 Write the tangent ratios for P and C P 21 R 29 20 Not drawn to scale OA OB tan P tan P OC tan P OD tan P 29 21 20 21 21 20 29 20 tan Q tan Q tan Q tan Q 21 29 21 20 20 21 20 29

Find the slant height of the cone to the nearest whole numbe 19 m 10 m Not drawn to scale OA 21 m OB 19 m C 22 m OD 24 m

If T is the midpoint of line segment SU find the values of x and ST The diagram is not to scal S 5x T 2x 30 U OA X 15 ST 66 OB x 10 ST 50 OC x 10 ST 66 OD 15 ST 50

Find the surface area of the cylinder in terms of T 14 cm Not drawn to scale cm B 602 cm C 812 cm D 308 cm OA 518 15 cm

Q is equidistant from the sides of TSR Find the value of x The diagram is not to sca S 5x 13 33 OA 4 B 33 C 9 2 D 16 R

Find the values of a and b The diagram is not to scal 36 113 A a 144 b 67 B a 144 b 36 OC a 113 b 67 OD a 113 b 36

Find the values of x and y 7x 7 112 Drawing not to scale OA x 15 y 17 OB x 112 y 68 OC x 68 y 112 OP x 17 y 15

9 Find the area The figure is not drawn to scale 36 in 40 in 33 in 1 188 in OA OB 69 in 2 C 138 in 2 OD 1 440 in 2

List the sides in order from shortest to longest The diagram is not to scale 49 77 L 54 OA JK LK LJ OB LK LJ JK C LK JK LJ D JK LJ LK K

Name the three labeled segments that are parallel to DH E G C B H OA GC GH BF OB EG BF GC OC AE BF GC D BD AE BF

Find the length of the hypotenuse 45 OA 18 OB 6 OC 12 OD 5 3 2

Liner is parallel to line t Find m45 The diagram is not to scale T t 7 1 OA 131 OB 21 OC 149 OD 31 149 3 14 2 5 6

3 Triangles ABC and DEF are similar Find the lengths of AB and EF A 5x B 4 C D 5 EX F OA AB 2 EF 10 OB AB 10 EF 2 EF 4 OC AB 20 20 OD AB 4 EF 20

Find the center h k and radius r of the circle with the given equation x 8 2 y 10 2 16 OA h k 8 10 r 16 OB hk 8 10 r 4 h k 10 8 r 16 h k 10 8 r 4 C D

Write the standard form of the equation of the circle 1 4 7 4 OA x 4 2 y 4 2 3 OB x 4 2 4 3 OC x 4 2 y 4 2 9 OD x 4 2 y 4 2 9

Write an equation of the circle with the given center and radius 5 9 5 OA x 5 2 y 9 5 OB x 9 2 y 5 2 25 OC x 9 2 y 5 25 OD x 5 2 y 9 2 5

Write an equation in standard form for the circle 2 2 OA x 1 y 3 4 OB x 1 y 3 4 OC x 1 y 3 4 OD x 1 y 3 4 x

Find the measures of the indicated angles Which of the following is NOT true The figure is not drawn to scale d 3 C OA a 53 OB b 106 C C 73 OD d 37

7 Find x The figure is not drawn to scale B OA 92 B 44 OC 23 OD 46 46

Find the value of x Round to the nearest hundredth if necessary The figure is not drawn to scale 9 Az OA 15 75 OB 9 OC 5 14 D 28 15

Find the measure of BAC The figure is not drawn to scale OA 68 OB 22 OC 136 OD 34 by B O 68

4 Find m21 55 OA 105 OB 100 OC 25 OD 80 115 k 105

The circles are congruent What can you conclude from the diagram B D A D E OA none of these OB arc DF arc AC C arc AB arc DE D arc CAB arc FDE R

Find the value of x If necessary round your answer to the nearest tenth The figure is not drawn to scale NA PA MOL NA ROL PA MN 6 feet K R M OA 12 ft B 36 ft C 6 ft D 3 ft P N t O

Name the minor arc and find its measure D A 115 B OA arc AB 115 OB arc ADB 30 C arc AB 245 OD arc ADB 245

Line segment AB is tangent to circle O at B Find the length of the radius r for AB 5 and A0 8 6 Round to the nearest tenth if necessary The diagram is not to scale B A OA 9 9 668 OB 7 OC 13 D 3 6

The radius of circle O is 18 and OC 13 Find AB Round to the nearest tenth if necessary The figure is not drawn to scale OA 12 4 DB 3 8 OC 24 9 OD 44 4 C B

Find the volume of the sphere shown Give each answer rounded to the nearest cubic unit 5 mm OA 262 mm OB 524 mm OC 314 mm OD 105 mm

Find the volume of the sphere OA 506 59 cm3 OB 5572 45 cm3 C 126 65 cm3 OD 1393 11 cm3 11 cm

1 Find the volume of the given prism Round to the nearest tenth if necessary 17 m 2 m 1 m OA 17 m OB 34 m3 8 5 m3 3

Find the volume of the pyramid below OA 1088 OB 2400 OC 7200 OD 1360 8 17

Find the volume of the prism 3 4n OA 118 in 3 OB 42 in OC 88 6 in OD 85 in 3 5 in

Find the volume of the composite space figure to the nearest whole number 5 mm 11 mm Not drawn to scale O A 546 mm OB 174 mm OC 364 mm OD 438 mm3 6 mm

Find the volume of the prism 13 in OA 39 in OB 2184 in OC 672 in 3 OD 156 in 3 12 in 14 in

Find the volume of the cylinder 14 yd O 14 yd OA 1 372 4 312 yd OB 2 7448 624 yd Z OC 196 616 yd OD 6862 156 yd

CClever Portal Classes DIRECTIONS Use this information to answer Parts A The triangles show the paths in a town s public square 2 x 1 8 Part A 96 4x 3 22 6x 10 Show Hints 85 8 Write an inequality for the possible values of x Enter the correct inequality in the box

Use a formula to find the surface area of the figur 30 yd 20 yd OA 1 800 yd2 OB 2 700 yd2 bc 2 750 yd2 QD 2 600 yd2 25 yd 15 yd 20 yd

Find the surface area of the square pyramid 8 m OA 192 m2 OB 448 m OC 256 m OD 384 m2

Describe the cross section OA pentagon OB trapezoid OC hexagon OD cube

Use the net to find the surface area of the prism 13 m 16m Not drawn to scale OA 6 240 m OB 24 960 m C 540 m OD 92 m 5 m 12 m 5m 16 m 12 m 5 m 13 m 13 m 5 m

5 Use 3 14 to estimate the area of the circle Round your answer to the nearest hundredth if necessary 24 4 m OA 76 62 m OB 467 36 m C 1869 43 m OD 38 31 m

Draw a plane intersecting a cube to get the cross section indicated rectangle OA OB C OD

Use a formula to find the surface area of the figure 11 in drawing not to scale A 287 in 2 QB 30 in C 574 in OD 858 in 13 in 6 in