2D Geometry Questions and Answers

B is an enlargement of B Find the centre 5 scale factor 5 T B OB 0 0 2 2 5 5

2 Write the equation of the circle below Center Equation Radius

5 What is the radius of Circle A given x 5 y 7 8 a 4 b 8 c 4 2 d 2 2

3 The equation of circle A is x 7 y 2 25 Circle B has the same center as circle A but has diameter of 14 Write the equation of circle B

4 Write the equation of a circle with center 7 0 with radius 3 x 7 y 9 x y 7 9 x 7 y 3 x y 7 3

Geometry 6 A group of 150 students were surveyed and asked their SAT score and whether they attended tutoring classes The results are shown in the table below Mikayla Morris Two Way Tables Practice pdf AT Score 1301 1600 901 1300 Tutoring Classes Yes No 5 14 64 35 a P took tutoring classes b P scored greater than 900 c P scored 1301 1600 no tutoring classes d P took tutoring classes scored 901 1300

Find the central angle measure x for the Mystery slice in the circle graph Do not round Genre Mystery Romance Self Help Cooking Biography Number of Books Sold 102 81 87 48 57 Romance Self Help Mystery Cooking Biography

chosen af random find each probability Aquarter not a penny 6 P dime not a nickel

Given lines l m and n are parallel and cut by two transversal lines find the value of x Round your answer to the nearest tenth if necessary 3 n 13 X 20 12

Given NO QR Enter segments in the blanks provided that would result in a true equation NO OP R V P Q N Submit Answer

Solve for x Round your answer to the nearest tenth if necessary 10 7 N Q X P 22 2 R 17 8

P A B C 9 in 25 2 in the diagram below of a dilation of AABC If AP 9 in AA 12 in and AC 8 4 in what is A C 14 7 in 19 6 in B 12 in 8 4 in C A B

In the diagram below ZT ZW ZU ZX Enter segments in the blanks provided that would result in a true equation U T ST SU S X W Submit Answer V

In the diagram below PQ is parallel to MN If MO 31 5 OQ 12 and NQ 9 find the length of PO Figures are not necessarily drawn to scale M N nswer Q P

Quadrilateral HIJK is similar to quadrilateral LMNO Find the measure of side NO Round your answer to the nearest tenth if necessary Figures are not drawn to scale K 23 H J 11 I L M 34 N

Apr 27 12 47 35 PM Watch help video Solve for x Figures are not necessarily drawn to scale 31 5 E 7 5 C 17 5 B X D

Apr 27 12 39 37 PM Watch help video If VW 87 WU 80 and ZX 48 find the length of Y Z Round your answer to the nearest tenth if necessary Figures are not necessarily drawn to scale U 76 W 41 63 V N 410 63 Y 76 X

If TU 20 UV 26 and XY 26 and XY 39 find the length of WX Round your answer to the nearest tenth if necessary Figures are not necessarily drawn to scale T 69 V 480 63 Answer WX U Y 48 Submit Answer X 63 69 W

1 Given that circle A has a center of 2 3 and a diameter of 10 a Write the equation of the circle

In the diagram below of triangle RST U is the midpoint of RT and V is the midpoint of ST If m TSR 2x 50 and m TVU 2x 50 and m TVU 41 5x what is the measure of TSR R U T S 8 EZZZA

In the diagram below of triangle PQR S is the midpoint of PR and T is the H midpoint of QR If ST 6x 11 and PQ 8x 38 what is the measure of ST P R T Q

2 The equation of circle B is x 8 y 2 2 8 Determine the coordinates of the center and radius a Center 8 2 r 8 b Center 8 2 r 2 2 c Center 8 2 r 8 d Center 8 2 r 2 2

Triangle DEF is similar to triangle GHI Find the measure of side HI Round your answer to the nearest tenth if necessary F 13 D 7 E 56 G H

a Write the equation of circle A Write the equation of circle C ich circle has a great 2 U 9 8 7 A 6 5 D 4B C 2 1 4 3 2 1 0 A 2

5 The center of a circle is 0 3 and the diameter of the circle is 8 a Write the equation of this circle

The vertices of quadrilateral ABCD are A 3 4 B 4 3 C 1 1 and D x y Which vertex at D would make ABCD a parallelogram 0 6 0 0 8 6 2 8 0

4 Given the center of a circle is 4 adius is 3 2 determine the equation a x 4 y 9 18 b x 4 y 9 3 2 c x 4 y 9 3 2 d x 4 y 9 18 and the

1 The circumference of circle E is 107 and the center is 3 4 a Determine the radius of the circle E b Write the equation of circle E 3th of

Find the exact value of tan Q in simplest radical form V38 6 S R 2

3 Graph the following equation y 1 x 5

2 The diameter of a circle is 20 in measure of its area

1 The circumference of a circle is 500 m Determine the diameter

2 Solve the following a mZ1 c m2 3 e m2 5 b m 2 d m2 4 f m2 6 32 115 2

4 Solve a m2 6 b m2 7 c m 4 d m2 2 e m2 5 f m 8 131

7 Circumference of circle an area of 530 935q in with

2 The two way frequency table below shows data on playing a musical instrument and playing sports for the students in Jorge s class Play a musical instrument Do not play a musical instrument Total Play sports Do not play sports 6 7 8 3 14 10 D Total 13 11 24 Which of the following statements about Jorge s class is true A The fewest students play both a sport and a musical instrument B Students who play musical instruments are more likely to play sports than to not play sports Students who do not play sports are more likely to play a musical instrument than students who do not play sports More students do not play sports than play sports E Students that play sports are cooler

6 Alvaro is interested in the relationship between weather conditions and whether the downtown train runs on time For a year he records whether each day is sunny cloudy rainy or snowy as well as whether this train arrives on time or is delayed Here are his results Weather condition On time Sunny 167 Cloudy 115 Rainy 40 Snowy 8 Total 330 Delayed 3 5 15 12 35 Total 170 120 55 20 365 Which of the following statements is true A When the weather was rainy it was more likely for the train to be delayed than on time B The most delays came on snowy days C More than half of the delays occurred on rainy days D When the weather was snowy it was more likely for the train to be delayed than on time

You spin the spinner twice 4 3 1 2 What is the probability of landing on a divisor of 42 and then landing on Simplify your answer and write it as a fraction or whole number

For a standard deck of playing cards find the probability to the nearest percent that a queen randomly selected from the deck is a diamond Do NOT include the percent symbol

You have a standard deck of playing cards from which you randomly select a card Event D is getting a diamond and Event F is getting a face card jack queen or king What is the probability to the nearest percent that the diamond selected is a face card Do NOT include the percent symbol

Suppose that sin 21 Find the exact value of sin 1 if the angle lies in the same quadrant as 112 9x and the angle 21 lies in the same quadrant as

Given the diagram of the spinner describe how to change each sector of the spinner so that each of the outcomes A B C or D is equally likely A B C

Bonus Use the figure below to find the measures of the angles 1 2 7 3 4 5 6 7 8 9 54 1 118 96 2 4 5 28 79 24 8 9

5 4 6 Statements 1 2 22 Given FJGH is a rectangle Prove FH JG Use the bank below FGH and JHG are right angles 3 SALA FG JH SAS Reasons 1 2 FLUENIT 3 All right angles are congruent 4 5 6 F they are even Side Reflexive Property K 8 H

Given a segment with endpoints 10 3 and B 5 3 Find the coordinates of point CpM AC 2 between A and B so that the ratio CB 3 A 1 3 B 4 3 9 0 3 5 3

A tree casts a shadow that is 22 feet long at the same time a 4 foot fence post casts a shadow that is 3 5 feet long Use similar triangles to find the length of the tree A B C D 15 7 feet 19 3 feet 25 1 feet 63 6 feet

If the cos 60 1 2 A B 2 3 2 2 3 C D 2 find the sin 30

What similarity criterion can be used to prove AABC AAED A D B AA acc D Ten ST

ve for pe2 monoH noitatibo a era lot to pinW 1 H A 3 B 4 C 9 L

Find the equation of the parabola described below Find the two points that define the latus rectum and graph the equation focus at 0 2 vertex at 0 0