Geometry Questions

A 15 foot conveyor belt for raising and lowering supplies is leaning against a building at a 30 angle with the ground as shown Select one 15 feet Which trigonometric equation could be used to find x the distance in feet from the base of the conveyor belt to the building O 30 x 15 sin 30 x 15 cos 30 Xx sin 30 15 15 Cos 30

A guide pai and is staked 6 feet from the base of the tree as shown below Select one a a 32 K 6 ft What is the length to the nearest tenth of a foot of the guide wire from the ground to the palm tree O 8 5 feet O 9 6 feet a O 7 1 feet 11 3 feet

Find the Volume of the figure A 660 ft B 684 ft C 1980 ft D 2052 ft 7 5 ft 24 ft

The figure shows angle LMN La No M S What is the name of the three dimensional shape formed if points M and N remain fixed while line segment LM is rotated around line segment MN

25 Given QRL ST QS RT and the exterior angle P is 27 What is the measure of the missing arcs in the diagram at right mQT m OS m TSR m SR

2 10 points A point from the figure below is chosen at random What is the probability that the point lies in the shaded region 6 in 25 50 70 42 8 in

3 find the volume 1 2 in plume surface area of 3D shapes v bhl 6 in 3 in V 12in 7 in 3 5 2 in V v 1 2 2 v G 2 U12 V 1 Y 3 m 3 5 6 V 3 14 12 25 6 2 4 2 2 in 20 2 in 2 2 in v bhlog 2 v 7 7 8 392 196 49 8 9 9 in 7 in 4 in u Z V 196in v bhl V 7 38 2 8 in

Right Triangle Trigonometry Question 5 What is the value of cos A in the diagram Select one a 60 61 0 60 19 B C 61 60

Find the surface area of the rectangular pyramid 9 21 A O 230 1 ft O 187 2 ft O 273 7ft O 120 7ft 10 5 ft 4 f

Right Triangle Trigonometry Question 9 What is the length x of the right triangle rounded to the nearest tenth Select one 1 48 64 98 4 O 109 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

1 Coordinate Geometry Question 10 Which of the following equations describes the circle shown here Select one x y 3 16 O x y 3 16 x 3 y 16 O x 3 y 4 2 0 3

A point from the figure below is chosen at random What is the probability that the point lies in the shaded region 48 43 52 3 5cm 10cm 8cm

Find the surface area of the square pyramid 9m O 189 m O 486 m O 405 m O 297 m 9 m

1 10 points If point X is randomly placed on JN below find P X is on JK or MN 6 7 20 13 20 3 4 3 10 K L M 4 2 0 2 4 6 8 10 12 N 14

Find the surface area of the rectangular pyramid 9 2 t 118 O 230 1 ft O 187 2 ft O 273 7ft O 120 7ft 10 5

Henry rolled a standard die 60 times and recorded the results below of times 6 Rolled 1 2345 6 6 15 60 1 10 813 11 What is the experimental probability of rolling a 6 7

The spinner below is spun once 10 9 12 11 3 4 TT 8 12 1 7 6 2 5 What is P unshaded or even 3 4

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

1 Students from River City High School were randomly selected and asked How many siblings do you have The results are recorded below 0 2 0 2 0 2 0 3 1 3 a Make dot plot of the data set 1 4 1 5 1 5 1 6 1 6 1 7 1 8 1 9 1 10 2 12 b Describe the distribution shape center spread outliers of the number of siblings of students at River City HS

A group of students was asked if they have at least one sibling and at least one pet The venn diagra below represents the results of this survery Sibling 4 1 3 12 7 12 15 Pet Find P has a sibling and a pet 5 12 9

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 2 5 1 3 2 4 Advanced Classes Perfect Attendance How many students are on Honor Roll OR had perfect attendance

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

12 MP 10 PQ 20 4 MN 9 NQ 12 MP 12 and PR 16 I 8 In right triangle LMN shown below altitude MK is drawn to LN from M If LM 12 and LK 10 the which of the following is the length of KN N 1 2 8 2 4 4 3 6 2 4 14 4 25 L Q 10 12 K COMMON CORE GEOMETRY UNIT ASSESSMENTS UNIT 7 FORM A R M

A B A B and C are all mid points AB BC 4cm Work out the area of the shaded region Give your answer in terms of PI 5 marks

2 Find the measure of the indicated angle or arc in OP given mLM 84 and mKN 116 b 9 mzJKL m2KMN mZKLN mMJ f h mzMKL mzJKM mZLNM mLKJ N PQ P M L

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

5 6 U1 U3 U U3 ul U6 U4 U5 tt4 U2 U7 U6 U5 V3 V1 V6 V3 V4 V2 V1 V6 5 V2 V7 V5

Find the Surface Area of the figure A 628 32 in B 578 05 in C 1005 31 in D 1658 76 in US 17 in I 16 in

Which of the following real numbers are constructible Justify your answers a 7 5 b 11 W13

Find the volume and surface areas of the given prism if all the dimensions are cut in half 4m 5m 6m Surface Area Lateral Surface Area Volume m m PPSGM Review Part 1 m Which of the following statements must be true Select all that apply If two cubes have edge length ratios of 3 2 the ratio of their volumes will be 27 8 If two cubes have edge length ratios of 3 2 the ratio of their surface areas will be 9 4 If two cubes have edge length ratios of 3 2 the ratio of their surface areas will be 27 8 Jonath in the vill bo 0

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 MULTIPLE CHOICE In the diagram ZADC is a central angle and mZADC 60 What is m ABC A 15 B 30 C 60 A B 120 D C

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

Name two pairs of congruent angles for each circle b ZCBD BOA B ZDAC D C ZLKM M ZWXZ YWY X

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

Draw a line that divides the area of the figure in half Note that you are given no measurement of he figure Justify your answer Assume that angles that look like right angles are right angles

The figure shows AABC ADEF with side lengths as indicated x a F 5 E A 9 D 27 21 C X B

Use a net to find the area of the entire surface of the solid 5 The surface area of the prism is 72 square units Explain your reasoning B IU E T T

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

3 Given g x a Determine the amplitude 4sin c Write the equation of the midline X 2 d Identify 5 key points for one period g x e Sketch a graph of g x for two full periods V 10 pts b Find the period

what is the product of x and y y C X E ZO x 20 C

P M Z T N B W ADI T W E Part A If you choose two blocks at the same time what is the probability that both blocks will have a T on Part B If you choose three blocks at the same time what is the probability that you will not choose a Q Part C If you choose four blocks what is the probability that the first block and second block have W s

Round your answer to the nearest hundredth What is the height in feet of the tree The height is feet 42 31 20 ft

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