2D Geometry Questions and Answers

3 Calculate the value of z to the nearest hundredth tan 24 34

2 Calculate the value of y to the nearest tenth cos 52 Y 80

7 in 4 in Kylie writes an equation to solve for the diameter d of the circle shown Solve Kylie s equation to find the diameter of the circle 4 d 4 7 What is the diameter O 7 5 in 8 25 in O 11 25 in O 13 25 in

Express cos C as a fraction in simplest terms A 22 B 39

Find the area of the regular pentagon with apothem a 1 6 in and side s 2 4 in Round your answer to the nearest tenth

Solve for x Round to the nearest tenth if necessary 33 8 8 x M

Find the value of tan N rounded to the nearest hundredth if necessary E N 5 M 92 67 L

6 8 U V 10 T S If secant segments SR and TR intersect at point R find the length of VT Start by relating the secants and segments theorem to this diagram RS RV Substitute values from the diagram into the equation 8 16 Solve for VT VT 1

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

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

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 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

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

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

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

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

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

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

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

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

A teacher asks two students in the class to think of a number between 1 and 100 Tell whether the events are independent or dependent Event A Brooke picks 23 Event B Shari picks 88 O dependent O independent O None of the other answers are correct

Find the area of the polygon with the given vertices A 2 2 B 5 5 C 5 0 D 2 3

Find the value of h for the parallelogram 8 4

3 Shortest Route Algorithm What is the length shortest path from A to C in the graph below B 3 2 25 points 4 4 1 3 5 2 3 C

Let p represent the focal length distance between the vertex and focus The vertex of a parabola is 1 4 and the focus is 1 4 The equation of the directrix is The value of niS 0 0 man A

The Ain Dubai is the world s largest ferris wheel The diameter of the wheel is 250 meters If there are 48 cabins to ride what is the distance between the cabins

Given right triangle ABC with altitude BD drawn to hypotenuse AC If BD 18 and DC 6 what is the length of AC A B 18 D 6 C

is problem p is in dollars and x is the number of units demand function for a certain product is p 190 2x and the supply function is p 33x 73 Find the producer s surplus at the equilibrium point Round x and p to two decimal places and your answer to the nearest cent

EM V Round your answer to the ne 2 S 13 5 The diagonal of a rectangle is 25 in The width is 15 inches What is the length

O is the center of the regular hexagon below Find its perimeter Round to the nearest tenth if necessary 18

What is the value of y y Type an integer or a decimal 4 10

Find the lengths and area A The length of the arc is yards Round to three decimal places as needed The area A of the sector is square yards Round to three decimal places as needed A 20 10 yd

Question 1 25 points Hamilton Circuits Paths Find a HAMILTONIAN CIRCUIT of the graph below C A B D E F G H ABCDEFGHI ICFGHDABE ABEDHGFCIA a circuit is not possible

If tan 0 2 a sin 20 3 0 3r find the exact value of each of the following 2 0 2 c sin b cos 20 c sin a sin 20 Type an exact answer using radicals as needed 0 2 b cos 20 Type an exact answer using radicals as needed 0 2 Type an exact answer using radicals as needed d cos 2 Type an exact answer using radicals as needed d cos

Simplify the logarithmic expression Express powers as factors log 5z7 log 5z Type an exact answer in simplified form