Geometry Questions

For problems 1 3 refer to the diagram below A 100 2 R N S 12 Answer X 8 4 y Q 80 What is the value of x

Which is the equation of a circle with diameter AB where A 5 4 and B 1 4 Select one O a x 2 2 y 25 O b x 2 2 y 5 O c x 5 2 y 4 100 O d x 5 2 y 4 10

Which of the following is the graph of x 2 y 1 9 Select one O a O b C O d 4 O y y ty 2 20 ty O 2 x X X x X

In the figure below what is the value of z 7 5 Z 4 Select one O a 6 O b 5 6 O c 2 9 O d 8 75

What is the value of the variable If the answer is not a whole number round to the nearest tenth a x 100 X 100 50 b 9 x 9 4 36 x 6 X 4

2 Find each indicated measure for OM U 36 T a mZs Q O b mTS c mQU d m TMS M R S 102

1 Find each indicated measure for OM D a mEF b m ZE 55 c mZF d mDF 96 M E F

If mAB 38 and mZCED 102 find mCD A C 38 Select one O a O b 102 O c 70 O d 140 E 102 LLI 166 B D

1 A circle is inscribed in a quadrilateral whose four angles have measures 86 78 99 and 97 Find the measures of the four arcs between consecutive points of tangency

Find m ZB if mAB 120 and m ZA 42 A 120 42 Select one O a 60 O b 78 O c 18 O d 156 C B

A circle with center 1 2 passes through 2 2 Which is true Select one O a The radius is 5 O b The equation is x 1 2 y 2 10 O c The diameter is 10 Od The circumference is 25m

Write the standard equation of the circle in the graph ty 2 1 O b O c O d 4 1 Select one O a x 2 2 y 1 2 x 2 2 y 1 4 x 2 2 y 1 2 x 2 y 1 4 X

Name Line Line Segment Ray May 18 8 44 19 PM Name the figure below in two different ways Symbol and

What is the center of the circle 2x 2y 32 12x 14y Write your answer in simplified rationalized form

8 A glass containing water is in the shape of a circular cylinder with a radius of 3 centimeters The height of the water in the glass is 10 cm What is the volume of the water in the glass SHOW ALL WORK V Bh T h 713 10 262 74 cm 10 Five spherical marbles of equal size are dropped into the glass The water in the glass rises to a height of 11 centimeters What is the increase in the volume of the contents of the glass Be sure to include units of measure in your answer Show all of your work and briefly explain how you found your answer

Write the standard equation of the circle in the graph op Select one O a O b Oc O d the O x 3 2 y 2 9 x 3 2 y 2 18 x 3 y 2 18 x 3 2 y 2 9 60 d

Which of the following statements is false Select one O a Every diameter is a chord b Every chord is a diameter O c Every diameter is part of a secant O d Every chord is part of a secant

OA is inscribed in a quadrilateral What is the perimeter of the quadrilateral 3 mm 7 5 mm A 2 5 mm Select one O a 150 mm O b 25 mm O c 50 mm O d 60 mm 12 mm

Find the value of the variable Q T 40 R S

Write the standard equation of the circle in the graph Center 4 0 4 5 Select one O a x y 16 O b O c O d y x 4 2 y 25 x 4 2 y 25 x y 25

Honors Geometry 3 2 1 SA 35 19 Kmvolume 12 57 Km 2 km 3 km Name DO NOT LEAVE IN TERMS OF T round to the hundredths SA LA B 2 3 x 4 9 x 2 Filtr TTIA 2 2 3 6 47 Z 35 19 SEM REST V 1 x 1 3 x 3 B A cone with a radius of 3 inches has a surf

For problems 8 and 9 complete the square to find the center and radius of the equation below x 4x y 20y 100 0 What are the coordinates of the center of the circle Input answer as x y Answer Check What is the radius of the circle

A low wattage radio station can be heard only within a certain distance from the station On the graph below the circular region represents that part of the city where the station can be heard and the center of the circle represents the location of the station Which equation represents the boundary for the region where the station can be heard 8 4 O Select one O a x 6 y 1 16 O b x 6 2 y 1 16 O c x 6 2 y 1 32

20 SA LA B 45 Tr 45 T3 773 45 3 9K 9 BL 12 lo q SLOW LA WOH2 TL 31 1211 HT 45TT 36 311 Ma 4 A plastic cylinder is exactly large enough to hold 3 tennis balls stacked one above the other The tenni balls are 6 8 cm in diameter Draw a diagram representing this scenario including the dimensions Find t olume of the cylinder 740 9 6 8cm ant Height h 20 4 d 6 8 Volume V Bh r h 5 TT3 4 20 4 740 86

3 5 cm 6 8cm O 5 In construction a nut is used on a bolt or screw for tightening or holding something together Find the volume of the following nut the face of the nut is a square V 5 8 5 8 1 5 V LA 2B 50 46 cm 5 8 cm 1 5 cm TT3 4 20 4 740 86 an2 Trafhit 2 fm volume 3 577 1 5 2 1175 35 74 50 46 35 74

Find the center and radius of a circle with equation x 3 y 6 4 Select one O a center 3 6 r 4 O b center 6 3 r 2 O c center 3 6 r 2 O d center 3 6 r 4

The point 2 5 lies on the circle centered at the origin with radius 9 Select one True False

Write the standard equation for a circle center 6 8 that passes through 0 0 Select one O a x 6 y 8 14 O b x 6 2 y 8 10 O c x 6 2 y 8 196 O d x 6 2 y 8 100

What is the equation of a circle with center 3 5 that passes though the point 4 1 Select one O a x 4 y 10 226 O b x 4 y 10 74 Oc x 3 2 y 5 226 O d x 3 2 y 5 74

Write the standard equation for a circle center 10 6 r 6 Select one O a x 6 y 10 36 O b x 10 2 y 6 36 O c x 10 y 6 6 O d x 10 2 y 6 6

graphed below 12 11 10 9 8 7 6 5 4 3 4 5 12 11 10 9 8 7 6 y 5 4 3 2 1 1 1 2 3 4 5 6 7 8 9 10 11 12 2 3 4 5 6 7 8 9 10 11 12 X

Find the lateral area 13 yd 11 3 yd 13 yd 13 yd 8 8 yd

Find the diameter of OO If your answer is not a whole number round to the nearest tenth 3 4 O Answer

Find the value of the variable If the answer is not a whole number round to the nearest t X 6 Answer 5 10

Many electronic devices use disposable batteries which eventually have to be replaced Assume that for one particular brand and type of battery the distribution of the hours of useful power can be approximated well by a Normal model The mean is 140 hours and the standard deviation is 4 hours The marketing department wants to write a guarantee for battery life What lifespan should they quote so that they can expect 98 of the batteries to meet the guarantee z 00 01 02 5080 0 0 5000 5040 0 1 5398 5438 5478 0 2 0 3 Table entry 0 4 0 5 0 6 0 7 0 8 04 5120 05 06 5160 5199 5239 5517 5557 5596 5636 5793 5832 5871 5910 5948 5987 6179 6217 6255 6293 6331 6368 6554 6591 6628 6664 6700 6736 6915 6950 7019 6985 7054 7088 7257 7291 7324 7357 7389 7422 7580 7611 7642 7673 7704 7734 7764 7794 7881 7910 7939 7967 7995 8023 8051 8078 7454 8212 8238 8264 8289 8315 8340 8186 8461 8438 8531 8665 8686 8749 8869 8888 9049 9066 9207 9222 0245 9257 0 9 8159 1 0 8413 1 1 8643 1 2 8849 1 3 1 4 15 Z 9032 9192 9222 03 8485 8708 8907 9082 9236 9370 8508 8729 8925 9099 9251 9382 07 5279 5675 5714 08 5319 6026 6064 6103 6443 6480 6808 6844 7157 7190 8944 9115 9265 9394 6406 6772 7123 8554 8770 8962 9131 8577 8790 8980 09 5359 5753 7517 7486 7823 8106 8133 8365 8389 8599 8621 8810 8830 8997 9015 9162 9306 9429 9147 9292 9279 9406 9418 6141 6517 6879 7224 7549 7852 9177 9319 9441

How can she draw the largest possible circle on the wood Fill in the blanks to correctly explain the steps she needs to take She is looking to draw the biggest circle inside the triangle She can do this by first constructing they meet is called the should then construct a of the triangle The point where That point will be the center of the circle To find the circle s radius she of the triangle of the circle segment from that point to one of the sides of the triangle The length of that segment is the distance from the center point to the side and that length will be the

Find the value of each variable If the answer is not a whole number round to the nearest tenth 120 Input answer as x y z Answer

Find the value of x 20 Answer 90

In the circle draw each of the following 1 a chord AB that is not a diameter red ink 2 points C and D such that an arc from C to D measures about 120 degree blue ink 3 central angle EOF that measures about 45 degrees green ink angle measures do not need to be perfect but should look to be about that angle measure x Clear Undo Redo

Line BC is tangent to the circle A angle c a B degrees b What is the value of c if the value of a is 42 degrees C POSSIBLE POINTS 3 3

Find the equation for the circle with center 2 3 and passing through 4 1 Which is the correct equation OA x 2 y 3 36 OB x 2 y 3 2 OC x 2 y 3 52 OD x 2 y 3 16

Write an equation of a circle with diameter AB A 2 2 B 14 14 Choose the correct answer below OA x 8 8 7 OC x 2 y 2 14 OE x 8 y 8 72 OG x 8 y 8 2 OB x 8 y 8 2 14 OD x 14 y 14 2 OF x 8 y 8 72 OH x 8 8 72

Complete this question in your Desmos activity Lesson 5 6 slide 31 PREVIEW D SWYK Lesson 5 6 Question 1 Rubric 3 Next The points A B and C show the location of 3 small towns The towns are putting their resources together to build a school that they will all share The residents want the school to be the same distance away from each town 1 Use a straightedge to draw triangle ABC 2 Find the location of a point D that is the same distance away from each town After completing the question in the Desmos slide write done below 1 point for drawing Triangle ABC 1 point for using correct process to find point D 1 point for correct location of point D you don t have to name it just mark it with a point

Complete the sentences below using the dropdown menus for each entry E A H G F The image above shows 2 triangles 1 Name a perpendicular bisector 3 Name an angle bisector R 2 Of the 2 segments LS and LP which shows the distance from point L to a vertex of the triangle C POSSIBLE POINTS 5 71 4 Of the 3 segments HJ HK and HF which shows the distance from point H to a side of the triangle O

The measure of the arc from B to A not passing thru C is 30 degrees What is the measure of angle BOA What is the measure of angle BDA D there is a Desmos slide in the lesson where you can draw on this same picture as needed What is the measure of angle BCA degrees degrees B degrees A

What is the center and radius of the circle x 1 y 25 The center of the circle is 1 0 Type an ordered pair The radius of the circle is Simplify your answer

F 95 Find the measures of angle CFE angle DEF there is a Desmos slide in the lesson where you can draw on this same picture as needed degrees 123 degrees D E

Find an equation of the circle having the given center and radius Center 4 7 radius 3 Choose the correct equation OA x 4 y 7 3 O B x 4 y 7 3 OC x 4 y 7 3 OD x 4 y 7 3

3 Joe constructed perpendicular bisectors of two sides of a triangle What is his next step if he is constructing a circle circumscribing a triangle O Draw arcs above and below the perpendicular bisector on one side Find the angle bisectors of two angles Mark the intersection of the perpendicular bisectors Draw a line from the midpoint of one side to the opposite angle of the triangle

Round your answer to the nearest hundredth F C CO B