Geometry Questions

In a laboratory experiment an ultrasound detector located at 8 is used to measure the distances of two moving objects A and C At a certain moment A and C are located as shown in the diagram AB 15 ft BC 14 ft and m ABC 50 What is distance AC B Select one O a length of AC 18 6 ft Ob length of AC 14 5 ft O length of AC 12 3 ft Od length of AC 19 7 ft A 15 ft 28 14 ft C

Given the information marked on the figures below classify each quadrilateral as a Parallelogram or Not necessarily a parallelogram Note that each figure is drawn like a parallelogram but you should not rely on how the figure is drawn in determining your answers If necessary you may learn what the markings on a figure indicate P B S Parallelogram Not necessarily a parallelogram A R D C Parallelogram Not necessarily a parallelogram S R X Parallelogram O Not necessarily a parallelogram V U T Y W Parallelogram Not necessarily a parallelogram

In right triangle ABC A and B are complementary angles and sin A What is cos B Select one 0 cos B 1 2 O b cos B 12 Occos B O d cos B

Tracy s longest ladder is 25 feet long and the safety regulation states that she can use it for cleaning out her gutters 24 feet off the ground as long as she keeps the bottom of the ladder 7 feet away the house Based on this information which trigonometric ratio has the value of Select one O a cos B Ob tan C Oc sin 8 Od tan A 18 8 24h 7h 25 ft

Tert 2 52 28 Three friends decide to go out to eat and then go shopping If there are 5 local restaurants and 4 good stores for shopping how many possibilities are there for their big night out Hint they can only pick one of each Select one a 40 Ob 10 Oc 15 Od 20 A bag contains 10 beads 2 black 3 white and 5 red A bead is selected at random The probability of selecting a white bead replacing it and then selecting a red bead is This is a event

Given the function x 4y 12y 9 Vertex 1 5 directrix y Opon 11

The average cost of gas in major cities is as follows The average cost of gas in the US large cities is estimate for the average cost of gas in the US Cost of Gas Chicago 2 069 Connecticut 2 577 Dallas Michigan 2 089 2 111 Los Angeles 2 001 San Francisco 2 139 Indianapolis 1 306 This

The number on the red die is 3 Select one a 1 4 b 1 6 O c 1 2 Od 1 3 8 7 6 91 5 Select one What is the probability of spinning an odd number or a number greater than 7 C 63 79 2 3 a 13 b 1 2 333 d 8 3

A General Social Survey asks questions about one s happiness and health Use the data in the table to make conclusions about ones perspective Time left 2 53 49 Poor Not too Happy 671 945 352 1968 Pretty Happy Very Happy Total Health and Happiness Select one a 16 b 32 O c 57 d 13 Given a person is in fair health what is the probability they pretty happy Fair 1287 3516 1 391 6 194 Find the first 3 terms in the expansion of 1 2x 4 Select one O a 1 8x 24x Ob 1 8x 24x c 1 8x 24x d 1 8x 24x2 Good Excellent Total 1 515 735 4208 1541 5 094 11096 4414 5 094 11251 7470 10923 26555

2 six sided dice one green and one red are released Find the probability that each die shows a score of 5 Select one a 1 18 b 2 6 C 1 36 O d 1 6

An experiment is conducted with chips each labeled with a number Let the S be the sample space S 1 2 3 4 5 6 7 8 9 with events E Choose an odd F Choose a number less than or equal to 4 G Choose a number greater than 5 Assume each outcome is equally likely Find P EUF Write as a decimal rounded to the nearest hundredth Answer Find the total number of different 4 digit numbers using all the digits in the number 4129 Hint you can t repeat digits Select one a 24 b 12 c 18 Od 6

Favorite Candy Bar Kit Kat Children 15 Adults 31 Answer What is the probability that a person buying a KitKat is an adult Express the answer as a decimal to the nearest hundredth Select one a 72 b 78 Butterfinger 12 18 In a ping pong tournament consisting of twelve teams each team plays every other team once How many games are there c 62 49 Od 66

2 six sided dice one colored green and one red are released Find the probability that either the score on the green die is 1 or the score on the red die is 6 but not both Select one a 1 3 Ob 2 9 OC 1 9 d 5 18 Find the total number of different permutations of all the letters of the word SECONDARY Select one a 36 288 b 181 440 c 90 720 d 362 880

Find the first 3 terms in the expansion of 1 3x 5 Select one a 1 15x 90x O b 1 15x 90x c 1 15x 90x O d 1 15x 90x

hree vertices of a parallelogram are shown in the figure below Give the coordinates of the fourth vertex 5 2 3 8 5 10 OD

For the rhombus below find the measures of 21 22 23 and Z4 1 2 43 36 m2 1 m 22 m 23 m 24 11 8000 11 0 0 X

For the rhombus below find the measures of 21 22 23 and Z4 2 32 3 1 4 m2 1 m 22 m 23 m 24 0 UU 0 0

Given A EFG RSQ Which statement is true Select one O O EF RS FG SQ EG RQ EF RS FG SQ EG RO EF FG ORE 0 RQ RS SQ EG

Find the recursive definition of this sequence 4 9 14 19 an 3an 1 a 5 B an an 1 9 a 4 C an an 1 5 a 4

The angle bisectors of AEFG are ES FS and GS They meet at a single point S In other words S is the incenter of AEFG Suppose QS 6 FS 13 mZQGR 34 and m PFS 26 Find the following measures Note that the figure is not drawn to scale E P F R S Q G RS m2PFQ m PES 00 X

The angle bisectors of APQR are PZ QZ and RZ They meet at a single point Z In other words Z is the incenter of APQR Suppose WZ 12 PZ 21 mZWPY 42 and mZYRZ 18 Find the following measures Note that the figure is not drawn to scale W Q Y X R mZYRX mZxQZ XZ 00 X 20

Challenge 2 A ski lift forms a right triangle as shown Use the Pythagorean Theorem Theorem 9 1 to approximate the horizontal distance traveled by a person riding the ski lift Round your answer to the nearest whole foot 1170 ft 5750 ft

Consider quadrilateral WXYZ below W Z X 4567 8 9 Y Note that WXYZ has vertices W 4 2 X 1 3 Y 4 4 and Z 1 5 Complete the following to determine if WXYZ is a parallelogram

Which of the following are reasons used in the proof that the angle bisector construction can be used to bisect any angle Check all that apply A A CPCTC B Any line segment can be extended indefinitely C All of the radii of a circle are congruent D SSS triangle congruence postulate

In circle E the measure of the indicated angle AEC is 243 5 Lines AD and DC are tangent lines The m AEC The measures of angles EAD and ECD are The mzABC A D The m ADC E 4 2435 B C

Find the area of the parallelogram 4 m F 10 m m 5 5 m 2

The triangle circumscribes the circle What is the perimeter of the triangle A 4 cm 5 cm Select one O a 25 cm Ob 24 cm O c 25 5 cm O d 37 5 cm B C 3 5 cm

Find the value of x Round your answer to the nearest tenth 8 5 X Select one a 12 5 O b 9 4 O c 6 2 O d 18 9

Find the value of y 160 A T B C 136

B A 100 m x mCD mAB P Find the value of x Select one O a 34 O b 50 O c 66 O d 32 D 32

SA 4tr What is the surface area of the sphere 10 in Select one O a O b O c O d 100 in 100 in 400 in 500 3 t in

Length of a circular arc Length of AB 2mr Find the length of AB Round your answer to the nearest tenth A 8 in Cougar 100 B Select one O a 55 9 in MAB 360 O b 14 0 in O c 50 3 in Od 20 9 in

V h Find the volume of a cone with diameter 16 cm and height 12 cm Select one O a 100 5 cm O b 3217 0 cm O c 2412 7 cm O d 804 2 cm

Area of a sector A degrees in corresponding arc 360 Find the area of the sector 9 cm Select one 80 a 18 cm O b 9n cm O c 12 cm O d 4 cm

Consider quadrilateral JKLM below 9 8 7 5 54 3 M L Length of JM J Note that JKL M has vertices J 4 6 K 8 1 L 3 2 and M 1 3 Complete the following to determine if JKLM is a parallelogram Length of KL 0 K a Find the length of JM and the length of KL Give exact answers not decimal approximations

5x 2 X 6x Find x if the given figure is parallelogram

Area of a trapezoid 1 2 b1 b2 h Find the area of the trapezoid below Round your answer to two decimal places 20 3 cm 8 9 cm 25 cm Select one O a 730 cm O b 401 8 cm O c 403 17 cm O d 201 59 cm

L 70 0 M What is the measure of angle LMN if the figure is a trapezoid degrees

L 2x 3 X 4x 21 M N What is the value of x is the figure is a rectangle

What is the sum of the measures of the interior angles of the figure below M Q Select one O a 900 O b 540 O c 360 O d 720 N P

Select one Oa measure of arc BC 39 4 b Oc 90 measure of arc BC measure of arc BC 140 6 measure of arc BC 70 3 E P 140 6 A B

B A 5 C b Find the value of x to the nearest tenth 8 Select one sin A a cos A b C A tan A 2 2 O a 51 3 O b 38 7 O c 32 0 O d 58 0

Find the value of x Leave your answer in simplest radical form X 13 11 Select one O a 4 3 O b 8 6 O c 24 2 O d 16 3

B Q C b sin A a C cos A A tan A Select one or more Ocos 48 x 14 sin 42 x 14 sin 48 x 14 Which equation s can be used to find the value of x Choose all that apply A 14 42 cos 42 14 x b C

In spherical geometry lines are called O A great circles OB radii O C line segments O D diameters

ect one a segment AE 12 b segment AE 10 segment AE 14 5 d segment AE 14 A What is the length of segment AE B E 15 8 D 10 C

ect one a mzDEC 114 b m DEC 66 cm DEC 57 d m DEC 123 The measure of arc AD 42 and the measure of arc BC 72 What is the m2 DEC 42 D A E F B 72 C

Select one Om BDC 86 Obm BDC 43 Om BDC 107 Od m BDC 73 150 A What is the m BDC F 64 B D

ect one a mzBEC 71 b m BEC 82 cm BEC 142 d m BEC 41 The measure of minor arc AD 112 and the measure of minor arc BC 30 What is the m BEC 112 A D 14 B 30 E

The measure of the inscribed angle BEA 67 8 What is measure of major arc BEA B E lect one a The measure of major arc BEA 292 7 b The measure of major arc BEA 135 6 The measure of major arc BEA 112 7 Od The measure of major arc BEA 224 4 67 8