2D Geometry Questions and Answers

Find the volume of the rectangular prism 3 m 11 m 3 m

6 Prove if QR a tangent of the circle S Use the Pythagorean theorem a b c R O 14 S 19 25

4 Find the value of x 9x 1 C E 41 5x D F

18 Find missing lengths of the 45 45 90 triangle Y Remember to give answers in simplest radical form X 5 y x x

23 Find missing lengths of the 45 45 90 triangle Your answer should be in simple radical form The triangle is a 45 45 90 triangle 25 X y y x x X

8 Find the measure of arc QU U 46 R T35 S

20 Find the missing angle measure using sine cosine or Remember to use SOH CAH TOA to help you 10 O X O x 34 O x 42 x 56 x 48 15

22 Sum of Interior angles in a polygon Find the value of x using the sum of the interior angles of the polygon 6x x 28 x 20 0 x 8 x 19 120 8x 8 1x 5x 6 4x 14

5 Properties of parallelograms Find the value of x and the measure of the smaller angle for the consecutive angles of the parallelogram x 114 6x The measure of the smaller angle is degrees

RY Solve for x 8 x w On Y Z 21x 12 X 10x 9

15 Properties of circles Find the value of x in the figure O x 4 O x 7 O x 6 O x 5 6 X x 4 12

9 Properties of circles Use the diameter and chord to find the value of x Ox 22 O 20 O x 12 O x 11 T

21 Sum of Exterior angles in a polygon Find the value of x using the exterior angles of a polygon theorem 70 X 60 90

Determine the scale factor of the geometric figure The points of each preimage are represented by circles and the points of each image are represented by squares 5 4 3 2 2 to 1 5 to 2 2 5 to 0 1 to 1 25 25 5 to 1 4 T 25 2 5 4 ch ON 29 3 4 S 2 5 0 M

19 Use the triangle to write the ratios for tangent sine and cosine as fractions M 1 sin R 2 cos M 3 cos R 4 tan M 5 sin M 6 tan R 53 45 C 28 R a b C d 45 53 28 45 45 28 28 53

13 Properties Find the value of x in the figure O x 15 x 30 Ox 4 x 9 4x 9 15

4 Use geometric mean to find the height of the silo A farmer stands 10 feet away from a silo used to store feed for his pigs The farmer needs to determine the total height of the silo The farmer s eyes are 6 feet above the ground What is the total height of the silo 6 ft 22 67 feet 11 66 feet 16 67 feet 17 66 feet 10 ft 10 ft 6 ft

Using the figure below which congruence statement is correct D A A O A AEBA DEC O A ABC ABDA O A ADEA BCE E ARD A ABR tx B C

he box plots show innings pitched by two baseball pitchers in one season Pitcher 1 Innings Pitched per Game Pitcher 2 3 0 1 2 3 H 5 6 7 8 9 5 6 7 Which statement accurately compares the interquartile ranges of the two pitchers O The interquartile range of pitcher 1 is half the interquartile range of pitcher 2 The interquartile range of pitcher 1 is equal to the interquartile range of pitcher 2 O The interquartile range of pitcher 1 is almost twice the interquartile rang O The interquartile

Zeith needs to buy tabric to make this Bag He will sew the white cross on top of the rectangle of blue fabric The dimensions of the flag are shown in the diagram below 3 in 1 in 3 in 5 in 5 in Find the area of each color of fabric in square inches that will show on the flag when Keith is finished There are square inches of blue fabric and

28 Find m21 29 Find m26 50 P D M 6 R 56 228 N

19 The graph of Line m passes through the points 0 4 and 4 2 as shown on the coordinate plane below Select one 1 4 2 O 1 3 O 2 6 O 6 2 y O 3 1 2 1 0 m Which coordinate pair describes a point on a line that is parallel to Line m and passes through Point C 0 4 3 0 C 89 1x

13 Using the unit circle below explain why cot 8 x y 1 0 I 5 pts

Which of the following statements about the imag below is true T 18 R 2 3 72 S W O The measure of TRU is 72 O Line VS and Line QS are parallel O Line TX and Line VS are perpendicular O ZTRU and ZURS are supplementary

4 Find the mil 9 55 C 95 b 75 d 190 5 Find the mu Q 32 b 54 C 64 d 108 86 f 40

In the figure two semicircles of radius 3 are contained inside another bigger semicircle with diameter being the segment AB What is the radius r of de the circle which is tangent to the three semi circles A O B

1 What is AB 9 10 b 20 d 40 C 30 2 Find the value of X 101 C 20 78 B

Select one 1 543 O 2 1 A 543 2 10 1 2 3 4 5 144455 3 O a cylinder with radius 5 and height 2 a cone with radius 5 and height 2 a cylinder with radius 2 and height 5 a cone with radius 2 and height 5 X

10 10 points If point X is randomly placed on JN below find P X is on KL 6 1 10 3 4 4 3 10 K 4 2 0 2 L M 6 8 10 12 N 14

What is the ratio of the volume of water spilled to the volume of water remaining if the height is 6 times the radius size 45

5 points The Venn diagram below shows the number of students in Mrs Crane s homeroom who were on Honor Roll taking advanced classes or had perfect attendance for the first quarter Honor Roll 4 9 3 2 1 4 2 5 Advanced Classes Perfect Attendance How many students are taking advanced classes

The two polygons below are similar D 609 E G 60 Complete the similarity statement F R o 120 120

In the circle below EG is a diameter Suppose m FG 114 and m GFH 53 Find the following Answer Submitted F E H a mZEFH b mLEGF

Select the correct answer form each drop down menu Given m AOB 42 m XEOF 66 Prove m COD 72 A O E A 27 Complete the proof It is given that m AOB 42 and m XEOF BOC 66 By the m AOC m COD m 66 By the 180 After application of the m AOC 108 and by the XEOF m COD

Which best describes this figure O trapezoid O quadrilateral rectangle parallelogram

5 A circular radar screen in an air traffic control tower shows these flight paths Find m LNK Find each value D B K 82 N M

ERROR ANALYSIS Describe the error in the diagram of OC Find two ways to correct the error Q 100 G 45 S R

In each star below all inscribed angles are congruent Find the measure of an inscribed angle for ach star Then find the sum of all the inscribed angles for each star Sum Sum Sum

mDGF 23x 25 Find m GF G F 8x 25 E D 5x 25

DO In OA m 1 13x 9 and m 2 27x 65 a Find the value of x b Find m 1 and m 2 c If mLBGE 92 find m ECD un D B G

A regular hexagon is inscribed in a circle with a radius of 6 yd Find the area of the shaded region shown Give the exact answer Do not approximate or any square root 6 yd 2 0yd

versions numbers for D Question 10 Find the measure of the arc or central angle Assume that lines that appear to be diameters are actual diameters x m JEF x 118 J F 39 16x 2 E I 70 G 4x 2 6 5 pts H

Example 5 ABCD is an isosceles trapezoid and AC 3x 4 and BD x 8 Find the value of x and the length of AC Rule 3 B A D C

What is the perimeter of AEFG G 10 8 6 4 2 F 10 8 6 4 2 O 2 4 6 8 10 y 2 4 E 6 Write your answer as an integer or as a decimal rounded to the nearest tenth

6 The circumference is 25T Length of AB A B

Solve for x and y Choose the correct answer 1 9 O A OB C x D x X A x 9 2 y 9 9 3 B x 9 2 y 2 y 9 y 45 9 2 9 2 2 y 9 3 2

X The diameter is 40 Length of AC 50 A C

The radius is 20 Length of AB A 40 B

In rhombus CDEF diagonals CE and FD intersect at point G mZFEG 3x 1 and mZEFD 8x 10 F G What is mZFCD D E

for X 1 A B what Must 3x0 31 values AB CP 774 9 CX 23 of be C D The A parallelogram 3 2 18 5 options 23 37 3 2