2D Geometry Questions and Answers

points A B C and D are on circle O m AOD 114 degrees and m BCD 40 degees determine m AEB and m DCF

Not so Basic Proofs and More Given AC bisects BD AB AD Prove AABC AADC B Given QP bisects ZRQS QR QS Prove ARQP ASQP Given JL bisects ZKLM ZK ZM Prove AJKL AJML K R D

Given AE bisects BD ZA ZE D D B Given AC LDB and D is the midpoint of AC A B

Use the diagram to answer the following questio The diagram shows AABC y A Which of the following statements would prove A distance from A to B distance from B to C

Apr 18 12 57 01 PM Given the circle below with secants CDE and GFE find the length of CD Round to the nearest tenth if necessary G 11 C D 13 14 E

Given the circle below with secants ABC and EDC find the length of AB Round to the nearest tenth if necessary Answer C 12 11 22 A Submit Answer 00

Scale 1 unit 5 yards Which of the following is the BEST approximation of the amount of fencing needed to enclose the perimeter of this playground A B C D 80 yards 90 yards 85 yards 75 yards

A circle has the equation x A The center is 6 2 an B The center is 6 2 and C The center is 6 2 and D The center is 6 2 a

Given circle E inscribed in triangle IJK with IGJ JHK and KFI tangent to E at points G H and F respectively Identify a segment that is congruent to GI E The F H K

Apr 18 12 46 35 PM Given the circle below with secants VWX and ZYX find the length of VW Round to the nearest tenth if necessary V 21 W Y 8 X

Use the information t A figure has vertices A The MOST precise cla

Nazhat 5 Use the information and diagram to c The vertices of the triangle shown are y 2 x The BEST approximation of the perin

Given the circle below with secant RQP and tangent OP find the length of OP Round to the nearest tenth if necessary R P

Identify a pair of same side interior angles in the diag

Given circle F with radii FH FG and FI and chords JH and GI JH GI Name an angle that has the same measure as FIG I H F G

Given the circle below with chords UV and WX Find the length of XY Round to the nearest tenth if necessary Answer U W Y X

The figure below shows a circle with center J diameter FG and tangent Y Which of the angles must be right angles Select all that apply LFYQ OLFHG OLFYG F W 3 H

Given circle E with diameter CD and radius EA AB is tangent to E at A If AB 20 and EB 23 solve for EA Round your answer to the nearest tenth if necessary If the answer cannot be determined click Cannot be determined Answer

QUESTION 6 lve the problem 200 ft tower is anchored on a hill by two guy wires The angle of elevation of the hill is 8 Each guy wire ext d the length of each guy wire Round to the nearest foot

Identify a pair of same side interior angles in the diagram

The figure below shows a circle with center D diameter MK secant MC and tangents BG and KG Which of the angles must be right angles Select all that apply OLDMA OZDBG ZMDB OZDMC OZDKG D Z M G B

1 What fraction of the circle is sector AOB any final answer ALL The circle below has an angle measuring 168 and the diameter AC 8 cm A a b d 1 30 1 14 15 29 30 168 2 Determine the area of sector AOB to the nearest tenth B

3 In circle K above the area o a Determine m JKL to the nearest tenth of a degree 2 Determine the are to the nearest tenth ai signs lexineo saudw 101st at lo A 94 in b Determine what percentage of the circle is shaded Round to the nearest tenth K 14 in L

The figure below shows a circle with center C diameter PX and tangents DZ and XI Which of the angles must be right angles Select all that apply DZPCD DZPJA LCDK D C X

5 In the circle above the radius is 3 m and the central angle of the circle measure 150 a Determine the sector area of the non bolded figure b Determine the arc length of the bolded arc length 3 m 150 JISM SA

6 The area of a circle is 225 square inches Find the area of the sector whose central angle

4 The circle above with center O has a circumfernece of 6 What is the area of sect a 37 b 2 c 37 4 e 97t 4 d 9 A of the circle measure 150

In the diagram below quadrilateral TUVW is inscribed in circle X Solve for a and y x Y W T 77 X x 46 1170 4y 85 U V

1 The circular pen above has two fences from the center of the pen to the smaller fenced in section with an area of 128 ft What is the distance from the center of the pen to the circumference to the nearest whole number A 128 ft J 5001 smerom sin end to elgs latas ada bayi zuibus edi 1601 xft 152 K

In the diagram below quadrilateral PQRS is inscribed in circle T Find the measure of R S Answer m R P 99 T 99 Submit Q R

1 In circle D below the arc length of BC is 2n and mzBDC 50 a Find the radius of the circle to the nearest tenth b Find the arc length of AB to the nearest tenth D B

1 3 X 93 43 15 m X 70 24 2 4 9 ft 42 27 110 28 x 25 ft x E 42 8 R 12 9 T 23 5 N 19 8 Y 54 8 M 20 7 H 22 7 1 35 4

Use for questions 4 7 The spinner below is spun twice Find each probability 4 P diamond then circle 5 P both stars 6 P shaded then heart 7 P both unshaded 2

Two equilateral triangles are put together to form a hexagon with their opposite sides parallel We know the length of four sides of this hexagon as shown in the diagram What is the perimeter of the hexagon A O 64 B O 66 C O 68 D O 70 12 6 15 11

The probability for event A is 0 4 the probability for event B is 0 2 and the probability of events A and B is 0 1 Why are the events not independent The sum of P A and P B is greater than P A and B The product of P A and P B is greater than P A and B The product of P A and P B is not equal to P A and B The sum of P A and P B is not equal to P A and B

Write the standard form of the equation of ellipse that has center at 4 2 one of the vertices at 4 2 and c 83

A bag contains one red pen four black pens and three blue pens Two pens are randomly chosen from the bag and are not replaced To the nearest hundredth what is the probability that a black pen is chosen first and then another black pen is chosen 0 02 0 19 0 21 0 25

Students in a class were surveyed about the number of children in their families The results of the survey are shown in the table Number of Children Number of in Family Surveys 9 one two 18 three 22 four 8 five or more 3 Two surveys are chosen at random from the group of surveys After the first survey is chosen it is returned to the stack and can be chosen a second time What is the probabil that the first survey chosen indicates four children in the family and the second survey indicates one child in the family OOO 1 50 15 3 20 17 60

A ship leaves its port and sails on a bearing of N28 50 E at speed 29 3 mph Another ship leaves the same port at the same time and sails on a bearing of S61 10 E at speed 16 1 mph How far apart are the ships after 2 hours miles Round to the nearest integer as needed 28 50 61 10

Determine the equation of the circle with center 5 3 containing the point 3 18

Consider a triangle where A 30 a 4 cm and b 8 cm B a C A Note that the triangle shown is not to scale

Use the graph of y f x to graph the function g x f x 2 3 b y f x di M O C G O D 136 Submit te

cicrle centered and passing through point 0 6

Law of Cosines Determine the approximate measure of angle A 4 cm A R 46 6 O 33 4 O 28 9 O 104 5 6 cm 8 cm Question 4 25 points Law of Cosines T

Question 2 25 points Law of Cosines Determine the approximate value of c S 9 24 cm O 10 8 cm 11 3 cm 9 cm O 14 0 cm Question 3 25 points 73 6 cm

Determine the equation of the circle with radius 8 and center 4 2

Complete parts a through d a Graph the function f x b Find f 0 and f 10 c Is this function increasing or decreasing d What is the limiting value of this function 144 2x 1 2e for x 0 to x 10

For 2 x 3 and f x 3x 6x determine a the domain and range of f x b the equation of f x if f x is further restricted to 1 x

Consider f x 2x 3x 1 a Determine the vertex of the parabola Graph f x b c Graph f x for y 0 75 d e Determine the domain and range of f x for y 0 75 Why were the values of x restricted in parts c and d

Determine the equation of the circle with center 0 6 containing the point 32 8