Geometry Questions

Which transformation results in a figure similar but not congruent to its image A translation B rotation C dilation D reflection

1 Obtuse 5 18 8 cm 9 17 13 246 5 2 Acute 6 8 7 cm 10 58 14 15 2 IS to FDA Dasic R 3 Acute 15 7 8 11 14 4 4 Right 21 8 29 12 33 0

7 tan Z X 15 17 Y 8 Z

Write a quadratic function to represent a parabola with roots of 5 and 7 that passes through the point 3 128 f x DELF

find a pair for coordinates where theta 0 7 For problem 6 find a pair of coordinates where 0 0 3 3

In each pair of triangles parts are congruent as marked Which pair of triangles is congruent by ASA OA OB OC OD H 1

May s Internet Services designs web sites May noticed an increase in her customers over a period of 5 consecutive weeks Based on the pattern shown in the graph make a conjecture about the number of customers May will have in the seventh week 10 9 Number of Customers O O 123 4 5 6 7 8 9 10 X Week A May will have 7 customers OB May will have 9 customers OC May will have 11 customers

19 Determine distance X T X 3 05cm 55 05 11 c 5 00 cr

8 Find the circumference Leave your answer in terms of T 5 7 cm OA 11 4 cm OB 8 55 cm OC 2 85 cm OD 5 7 c 5 7 cm

Graph 7x 2y QA OB 8 48 6 is 1 b Ty 14 X X X

Write an equation for the line perpendicular to y 6x 5 that contains 2 10 OA x 106 y 2 OB y 2 x 10 OC y 10 6 x 2 OD y 10 x 2

W V Y ZI X Find the volume of the composite figure above if v 11 w 12 x 11 y 10 z 7 Round your answer to the nearest whole numb

Find the area of the trapezoid below The figure is not drawn to scale 19 in 12 6 in 29 2 in 14 5 in OA 607 32 in 2 OB 36 7 in OC 303 66 in OD 77 2 in 2

In triangle ACE G is the centroid and BE 12 Find BG and G C A B F D by OA BG 6 GE 6 OB BG 8 GE 4 OC BG 3 GE 9 OD BG 4 GE 8

Name the type of symmetry for the figure O A reflection OB rotational C reflectional and rotational D no symmetry

Complete the statement below about parallelogram ABCD The figure is not drawn to scale If m CDA 66 then m BCD D A OA 66 OB 124 C 114 D 132 B

The hexagon GIKMPR and triangle FJN are regular The dashed line segments form 30 an Find the angle of rotation about O that maps line segment NP to line segment LM P Q N R M A 609 B 300 C 30 OD 90 F 1 L G K H

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

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