2D Geometry Questions and Answers

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

Hamilton Circuits Paths Which of the following is a Hamiltonian Circuit beginning at vertex A for the given graph ABCDA ACBDA ADBCA all of the above Question 3 25 points D A C B

Question 1 25 points Hamilton Circuits Paths Which of the below descriptions shows a possible HAMILTON CIRCUIT ADFECGBA ADFECBG ADFABGDECBA A D F E C B G

Rewrite cot 8 sec 0 in terms of sine and cosine cot 0 sec 8 Simplify your answer

Cuestion 3 Write the equation of each circle below in circle form Iden the center and radius Practice at least 1 of these a x 10x y 2y 20 0 b x 8x y 2y 8 0 c x 12x y 20y 8 0

Quiz 2 Target 78 Name 78 Calculate measurements of arcs sectors and circles using degrees and radians NM PT AT 1 Three friends bought a giant cookie cake and divided it into equal parts so that each of them got 1 piece The Cookie cake has a radius of 13cm Find the area of each person s piece Be sure to show your work 360 120 3 Per

9 F 10 8 B 2 15 3 G 16 11 12 14 17 21 13 18 20 4 6 19 C 5 D E Given G is the center of the circle AD is a diameter mAB 78 mFE 105 mED 27 mCD 42 m 1 m 2 m27 m 8 m 9 m 10 m 11 P D m 19 m 20 m 21 All Things Algebra 2015

54 32 D 4 1 112 Marcel is designing a circular necklace that will consist of 4 sections each with a different color of plastic Determine how he needs to cut the plastic by finding the measures of the angles m21 m22

or angles formed by two intersecting chords 1 The intersecting chords form vertical angles If mZDEB 105 then mZAEC 105 2 Find the sum of the angle measures mZDEB mZAEC 210 0 3 Find the sum of the arc measures mBD MAC Correct 0 mZDEB 105 mZAEC 105 mAC 130 mBD 80 B E C

Explore the properties of angles formed by two intersecting chords 1 The intersecting chords form vertical angles If m2DEB 105 then mZAEC 105 MIDA C 2 Find the sum of the angle measures mZDEB m2AEC D mZDEB 105 m ZAEC 105 B A C