Geometry Questions

Based on the geometry below The Lambertian shading of the point on the plan will be 4 4 4 1 1 1 O66 077 88 Color intensity 20 Light source power 5 4 4 4 0 1 0 0 0 0 1 1 1

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

The diagram below shows the intersections of several roads Each of the roads is straight The roads First Avenue Ave Second Ave and Third Ave are parallel 300 1236 06 3 Fint 406 m Marisa drives from point A to point B along Broad St and then from point B to point C along Third Ave What distance to the nearest meter did she drive

The figures below are similar 3 ft V 216 ft 5 ft V 1 2 V What is the volume of the larger rectangular pyramid cubic feet

Right In the accompanying diagram AB is tangent to circle O and secant AD 3 points each 15 If AB 4 and AD 8 find AC A 8 16 If AB 9 and AD 27 find AC B 0 is best described as a

12 The owners of a water park want to build a scaled down version of a popular water slide for the children s section of the park The side view of the water slide labeled ABC is shown below 5x 0 5y WATER SLIDES SIDE VIEW 8T W feet c 50 20 80 60 20 WATER SLIDES TOP VIEW A 10 60 A 30 20 2888298 feet C 150 60 Points A B and C shown above are the corresponding points of the scaled down slide Which of the following would be closest to the coordinates of a new point C that will make slide A B C similar to slide ABC a 90 20 b 77 20 d 47 20

AFGJ and AGHI are shown below Which of the following guarantees AFGJ and AHGI are similar triangles FG JG and HG IG 23 21 and FJ GH ZF 23 and ZH ZI ZF ZH and ZFGJ SUGT

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

Lesson Applying Trigonometric Functions to Solve for Missing Example In the diagram below AABC is a right triangle If zB is a right angle m C 44 and BC 12 Determine the length of AC to the nearest tenth Hyp A Opp B 44 C 12 Adj C

Right triangle DEF is shown below with the dimensions given in units D Select one O 20 F Which measurement is closest to the value of x in units O 14 9 O 4 8 13 2 14 5 1 E X

Find the value of X b 191 d 91 9 182 C 89 3 Find the value of X 0 5 b 7 5 178 C B 12x 10 7 5

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

A certain store sells T shirts in 4 colors The number of T shirts sold in each color last month is shown in the bar graph below Use this bar graph to answe questions Number of T shirts Sold 12 10 8 6 gray tan Color black a Which color had the most T shirts sold Ogray O tan O black How many T shirts of that color were sold T shirt s white white b How many more gray T shirts were sold than black T shirts more T shirt s sold c For how many colors were there at least 6 T shirts sold color s

Right Triangle Trigonometry Question 1 The dimensions of A QRS shown below are in units Select one 81 O 15 S 9 Which ratio represents the value of sin Q O 7 2 3 4 3 5 Q 5 3 12 R

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

dimensional figure about the x axis Select one 1 5 432 1 5 4 3 2 11 1 2 3 4 5 2 3 4 45 5 a sphere with radius 2 a sphere with radius 4 y a hemisphere with radius 2 a hemisphere with radius 4 X

house to her school Select one 81 37 O 13 Cindy s House What is the approximate measure of the angle in degrees formed by Main Street and Broadway 53 5 blocks Broadway 75 Main Street 4 blocks School 3 blocks

4 10 points If a point is chosen at random in the solid below find the probability that it is in the cone 5 cm 34 8 32 5 37 5 39 2 16 cm 14 cm

Select one De What is the length c of the right triangle rounded to the nearest tenth O O 71 2 1 3 6 5 8 6 1 2

In a survey 150 shoppers were asked whether they have access to a computer at home and if they have a personal e mail account Their responses ar summarized in the following table Computer access at home No computer access at home a E Mail account 48 6 a What percentage of the shoppers do not have an e mail account b What percentage of the shoppers have computer access at home X No e mail account 6 90 5

Find the volume of the cube shown below in cubic feet Your answer may be exact or rounded to the nearest hundredth 2 8 ft label required

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

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