2D Geometry Questions and Answers

5 Given AM 2x 1 MB 3x 2 AB 6x 4 Find x and AB 2 points A MB C

3 Given m ABD 3x 4 m DBC 2x 1 m ABC 83 Find x 2 points A D L B C

Given M is the midpoint of the segment AB AM 2 x 3 MB 3 x 1 Find x and AM 2 points A MB C

Use the accompanying radiation levels cell phones Find the percentile P10 W P10 for 50 different 0 25 0 25 0 36 0 48 0 56 0 58 0 60 0 62 0 72 0 86 0 91 0 91 0 92 0 94 0 95 0 96 0 99 1 00 1 05 1 07 1 12 1 12 1 12 1 13 1 18 1 19 1 21 1 21 1 21 1 23 123 124 124 129 129 130 1 30 1 32 1 33 1 35 1 35 1 39 1 39 1 43 1 43 1 43 1 44 1 49 1 50 1 57 W Type an integer or decimal rounded to two decimal places as needed

The points 0 6 5 1 3 1 and 2 4 are vertices of a rectangle Determine the coordinates of the midpoints for each side and determine if the midpoints are the vertices of a rectangle

What is the value of x in the circle on the right The value of x is cm Round to the nearest tenth as needed O Points 0 of 1

The polygon circumscribes a circle What is the perimeter of the polygon The perimeter of the polygon is cm 8 cm 6 cm 9 cm 15 cm

Determine whether a tangent is shown in the diagram Is a tangent shown in the diagram Yes No

Lines that appear to be tangent are tangent O is the center of the circle What is the value of x X Do not include the degree symbol in your answer 640

e circumference of a standard baseball is about 9 in About how many square in of horsehide are required Cover 100 balls to the nearest whole number ect one a 2578 in O b 25447 in c 900 in C d 821 in The volume of two similar prisms are 891 cm and 33 cm The surface area of the larger prism is 153 cm What is the surface area of the smaller prism Select one a b 17 cm 27 cm 51 cm c d 9 cm

Answer Describe the cross section formed in the diagram below Select one a sphere b cylinder c circle d oval

There are 550 toothpicks in a regular sized box If a jumbo box is made by tripling all the dimensions of the regular sized box how many toothpicks will the jumbo box hold The jumbo box holds toothpicks

scale factor of two similar solids is 3 14 what is the ratio of their corresponding area What is the of their corresponding volumes ct one a The ratio of their corresponding areas is 6 28 The ratio of their corresponding volumes is 9 42 b The ratio of their corresponding areas is 3 196 The ratio of their corresponding volumes is 3 2744 c The ratio of their corresponding areas is 27 2744 The ratio of their corresponding volumes is 9 196 d The ratio of their corresponding areas is 9 196 The ratio of their corresponding volumes is 27 2744 check e surface areas of two similar solids are 384 yd2 and 1057 yd2 The volume of the larger solid is 1795 yd hat is the volume of the smaller solid lect one a 978 yd b 1795 yd c 1082 yd

or downward find any intercepts and f x 1 2 x 2 4x 15 2

Select one a 26 9 mm Ob 4 3 mm c 53 8 mm2 d 2 1 mm O Check A balloon has a circumference of 11 cm Use the circumference to approximate the surface area of the balloon to the nearest square centimeter Select one a 380 cm a circumference of 13mm Round to the nearest tenth b 39 cm c 121 cm d 154 cm

Find the volume of the sphere Give the answer in terms of t and rounded to the nearest cubic foot The volume in terms of is V ft Simplify your answer Type an exact answer in terms of 5 ft

Find the volume of the sphere shown to the right Give an answer in terms of and rounded to the nearest cubic unit The exact volume is in Simplify your answer Type an exact answer in terms of

Find the surface area of a sphere with radius r 7 in S A in Type an exact answer in terms of t

the value of x ne 576 cm 8 cm one ck 18 cm 36 cm 72 cm 9 cm 8 cm me value of x to the nearest tenth e 602 88 cm X 12 cm

Find the volume to the nearest whole number v in Round to the nearest whole number as needed 4 in square

actice In a chemistry lab students use a filter paper cone to filter a liquid The diameter of the cone is 9 5 cm and its height is 8 cm How much liquid will the cone hold when it is full When it is full the cone holds about Round to the nearest tenth as needed cm of liquid

Find the volume of the cylinder in terms of Q h 6 in and r 3 in Select one a 27 in 3 b 108 in 3 324 in 3 C FA in 3

Answer Check Find the surface area to the nearest whole number 26 in 10 in 40 in Select one a 2073 in b 3644 in Oc 4273 in d 3958 in

For problems 1 and 2 use the figure below D B How many faces edges and vertices are in the solid Select one a faces 3 edges 5 vertices 3 b faces 6 edges 5 vertices 6 c faces 4 edges 6 vertices 4

Find the lateral area of the hexagonal pyramid 12 cm cm The lateral area of the pyramid is Do not round until the final answer Then round to the nearest whole number as needed Points 0 of 1 7 3 cm 14 cm

Find the surface area of the cylinder in terms of 9 in Not drawn to scale Select one 20 in a 522 in b 1008 in c 360 in d 396 in 2

degrees 7 2TT 3 8 TT 4 For problems 9 10 convert the radian measure to degrees Write your answer as a decimal rounded to the nearest tenth 9 2 4 10 5 7

K The plane region is revolved completely about the given line to sweep out a solid of revolution Describe the solid and find its surface area 10 the y axis Describe the solid Choose the correct answer below cylinder triangular prism square prism circles Ay 8 6 4 2 0 246 8 10

35 Which transformation is occurring between the preimage and the image H G E H 6 G Otranslating left and up O translating right and down O reflecting over the line y x O rotating around the origin

31 30 Using the graph to the right what is the equation of the circle A x 5 5 16 B x 5 2 5 16 C x 5 2 5 4 D x 5 2 y 5 4 O A O B O C 131

30 29 Identify the coordinates of the point P 8 4 after a rotation of 90 counterclockwise around the origin A 4 8 B 8 4 C 4 8 D 8 4 O A OB O C O D

32 Find the circumference of the circle Use 3 14 for pi O 15 7 O 31 4 78 5 O88 3 P 5

28 26 Find the value of xif mAB 38 and mCD 68 not drawn to scale A 15 B 53 C 106 D 127 O A OB O C O D A B 18 C

25 Which two transformations were performed to obtain A B in the diagram A Reflect over the line x 1 then translate 6 0 B Reflect over the line y 1 then translate 0 6 C Reflect over the line x 1 then translate 0 6 D Reflect over the line y 1 then translate 6 0 O A B D F B A

26 Solve for x in the right triangle below 12 O 12 O 10 O 18 4 O 25 1 22

23 22 Given mDE 117 and mBC 77 find mZA A 20 B 30 C 40 D 97 O A OB O C

25 24 Find the volume of the pentagonal prism round to the nearest cubic meter A 110 m B 403 m C 660 m D 1210 m O A C D 11 m 8 m 5 5 m

21 Find the area of the pentagon 3 06 O 15 O 30 O 60 2

Choose the graph of the inequality Click on y x 2

14 What is the total sum of the interior angles of a pentagon O 540 O 180 O 720 O 5

19 Find the value of x to O 51 4 degrees O 72 degrees O 120 degrees O 128 6 degrees O 147 3 degrees

12 14 If mZROT 52 what is the mZRST A 26 B 52 C 104 D 156 O A OB O C OD 13 Find the volume of the cylinder

15 18 The world s largest circular pizza had a circumference of 383 3 ft What was the total area that the pizza covered A 11 689 9 ft B 12 741 3 ft C 46 759 5 ft D 461 559 3 ft O A B C D

6 Hint the slant height is 9 4 9 Find the surface area of the solid to the right A 148 2 in B 204 2 in2 C 209 4 in D 226 7 in2 O A O B O C OD 7 8 in Sin

nd the length of WC Name Hailey Paz M

a Sketch a horizontal cross section b Sketch a vertical cross section that contains the vertical line of symmetry a Choose the correct answer below A B II

tersects the front and right faces of the cube on described above Choose the correct answer below OB O C

The graph of the total profit P x in dollars from the sale of x cordless electric screwdrivers is shown to the right A Write a brief verbal description of the graph of the marginal profit function y P x including a discussion of any x intercepts B Sketch a possible graph of y P x 25 000 OA 300 45 000 1800 17 A On what interval s is the marginal profit function P x positive Select the correct choice below and if necessary fill in the answer to complete your choice Type your answer using interval notation Use a comma to separate answers as needed

What is the area of the figure below 3 5 cm Select one a 56 cm b 28 cm c 40 cm d 20 cm 4 cm

45 Answer Check 60 3 Find the area of the shaded sector of the circle Round your answer to the nearest tenth 5