Geometry Questions

Express cos U as a fraction in simplest terms U 30 94 T S

In A ABC LC is a right angle BC 200 and m ZA 33 Which expression represents the length of AC Select one O O O O 200 tan 33 200 Sin 33 200 tan 57 200 sin 57

help Given right triangle ABC with altitude BD drawn to hypotenuse AC If AD 3 and DC 11 what is the length of BD in simplest radical form A B 3 Answer BD D 11 Submit Answer 30

Find the area of the regular polygon 26 cm

12 4 C x 7 x 3 What is the length of the longer of the two chords shown Length of longer chord w units

The figure below is a square Find the length of side a to the nearest tenth V10

Express tan B as a fraction in simplest terms 28 B D 55 C

Find the area of the regular polygon Round your answer to the nearest tenth 16 cm

Express cos R as a fraction in simplest terms R 25 Q 24 P

Find the area of the rhombus Note The dimensions shown are for half the diagonal 25 ft 22 ft

The triangle below is equilateral Find the length of side a in simplest radical form with a rational denominator 10 X

Find the area of the kite 5 cm Answer 3 cm 3 cm 3 cm

y R T P N Which statement is true regarding the diagram of circle P O The sum of y and z must be 2x O The sum of y and z must be x O The difference of z and y must be 2x O The difference of z and y must be x

Circle X is shown in the diagram d X N b Which equation can be used to solve for m 21 0 m21 a b 0 m 1 a b 0 m21 c d Om 1 c d

Find the area of quadrilateral QRST Answer 4 2 2 4 y X R

Find the length of side x to the nearest tenth 30 1 x 60

A secant and a tangent meet at a 90 angle outside the circle What must be the difference between the measures of the intercepted arcs 45 O 90 O 180 O 270

36 D 48 O In circle O what is m E 84 O 96 O 120 O 168

B A 38 37 E TL 32 G H In circle C what is mFH O 31 48 O 112 O 121

D X 0 Which equation is correct regarding the measure of MNP Om MNP O m MNP O m MNP Om MNP 2 x y 2 x y z y z y

210 0 A 150 B In the diagram of circle O what is the measure of ZABC 30 40 50 60

Find the area of quadrilateral QRST T AY OS 2 4 Answer

37 2 25 In circle Y what is m 21 O 6 O25 O 31 O 37

Find the area of the trapezoid 16 ft 10 ft wort 9 ft

133 A 1 N 2 147 In circle Z what is m 22 O 70 133 O 140 O 147

a X b Z Which equation is correct regarding the diagram of circ O OmZXZY OmZXZY OmZXOY OmZXOY a b a b a b a b

D 50 A 58 B E C What is the measure of angle AOC O 42 66 O 79

70 S R What is the measure of arc QSR

B 57 O Aaron is standing at point C watching his friends on a Ferris wheel He knows that he is looking up at a 57 angle and the measure of arc BD is 80 What is the measure of arc AED D

Use the information given in the diagram to prove that m Z JGI b a where a and b represent the degree measures of arcs FH and Jl G F a H J Angles JHI and GJH are inscribed angles We have that mZJHI band mZGJH a by the 2 Angle Because the JHI is an exterior angle of triangle measure of an exterior angle is equal to the sum of the measures of the remote interior angles mZJHI m JGI mZGJH By the 1 16 mZJGI a Using the subtraction property mZJGI b a Therefore m JGI b a by the distributive property

Tangent 160 to 51 What is the value of x X

110 C A 25 E D B What is the measure of angle ABC O 42 5 O 67 5 O 85 O 135

Qo bo a Which formula would be used to find the measure of angle 1 O a b 2 a c O b c a b 6

53 R U N C 1 2 T S 47 What are the measures of angles 1 and 2 m21 m22

N M 62 O 138 L Shondra wants to find the measure of angle JKL Her work is started What is the measure of angle JKL 138 62 1 JKL m2JKL

5 Area setup 16 Measure of central angle 0 Length of apothem a Length of a side s Perimeter Area 15

Explore the properties of angles and arcs formed by two intersecting secants 1 Find the difference of arc measures mAC MDE m ZABC 28 mAC 80 mDE 24 A D E B

6 5 Result 1 4 2 3 10 11 The probability of winning a coupon at the grocery store checkout is 2 25 What is the probability of not winning Instrument For questions 9 15 give each answer as a fraction in simplest form 9 Natalie randomly answered the last three true or false questions on her math quiz What is the probability that she got at least two correct 13 A group of students were asked if they play a sport or play an instrument The results are shown in the Venn diagram below If one of these students is chosen at random find each probability a P instrument b P does not play a sport 14 4 15 A die was rolled 40 times The results of each roll is given in the table below If the die is rolled once more find the experimental and theoretical probability for each result Theoretical 10 5 7 12 8 Sport 555 18 Frequency 2 14 Out of 75 students 45 are taking Algebra 2 and 32 are taking Chemistry Sixteen students are taking both Algebra 2 and Chemistry If a student is chosen at random what is the probability that the student is taking Algebra 2 but not Chemistry 10 Two dice are rolled What is the probability that the sum on the two dice is less than 69 12 A number from 1 30 is chosen at random What is the probability that the number is not a prime number a P 5 c P both instrument and a sport b P 1 or 6 c P no more than 4 d P greater than 2 d P sport but not an instrument Experimenta

Which of these pairs of events are independent You remove a blue glove from a drawer without looking and do not replace it then remove another blue glove without looking You reach into a basket and draw a name for a prize return the name into the basket and then draw a second time for another prize Your CD player has a random mode that chooses songs randomly and plays each song once before repeating While listening to the CD player in random mode you hear track 5 first and then hear track 3 second You choose a member of the basketball team to be the center You choose a different member to be a forward None of the other answers are correct

Which of the following scenarios does NOT describe independent events Drawing two cards from a standard deck of cards without replacement that are both aces Rolling a fair number cube twice and getting 6 on both rolls Flipping a fair coin twice and getting heads on both flips Rolling a 3 on a fair number cube and flipping tails on a fair coin O None of the other answers are correct

Caleb and Drew are playing a game with a pair of dice Caleb needs a sum of 5 or greater to win What is his probability of winning on his next turn 03 0 0 1 0 WIN

Find the probability of getting the results shown on the spinners Express your answer as a fraction in simplest form 115 O 15 01 10 C WIT OF 00 5 2

Which of these pairs of events are dependent You flip a coin and get tails You flip it a second time and get heads You pull your friend s name out of a hat that holds 20 different names replace the name then draw out your friend s name again You spin a spinner divided into five equal parts and is numbered 1 5 You get a 3 on the first spin and then spin again and get a 2 on the second spin You remove a black sock from a drawer without looking and without replacing it then remove another black sock without looking None of the other answers are correct

An inelastic string of length 1 0m anchored to a point x has a stone tied to the end y how high does the stone rise when the string xy is inclined at 30 to the original vertical position

The numbers 1 30 are written down on pieces of paper and placed in a hat for students to to randomly select Event A is the probability of drawing a number between 1 and 10 A 1 2 3 4 5 6 7 8 9 10 Event B is the probability of selecting a number that is a multiple of 6 B 6 12 18 24 30 Calculate P A 3 10 24 3 12

Let U be the set of all integers from 1 to 20 Let A 1 3 6 9 12 15 18 and B 2 9 11 20 Which choice describes the set 4 5 7 8 10 13 14 16 17 19 O ANB OA B O AUB OA B

Use the Venn diagram to help with the following question What is the probability that a person will like both badminton and baseball 3 0 13 14 0 35 0 86 Badminton Boxing 13 2 19 20 12 15 Baseball 21 None of the other answers are correct

What is the probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube Assume the number cubes are fair and have six sides Express your answer as a fraction in simplest form O O 1 30 O 12 07 10 Cube 1 Cube 2

At a school carnival one of the booths has 12 plastic ducks floating in a tub of water Each duck has either a zero one or two printed on the bottom indicating the number of prize tickets you receive if you select that duck Six of the ducks have a zero on the bottom three of them have a one printed on the bottom and three of them have a two printed on the bottom If you randomly select a duck and then randomly select another duck without returning the first to the tub what is the probability that you will receive four prize tickets O 1 16 22 0

What is the probability of picking a 7 from a standard deck of 52 cards 1 13 O 4 13 01 0 MIN A