2D Geometry Questions and Answers

What is the measure of angle O in parallelogram LMNO L O x 40 B D A C 3x 35 75 105 155 M N

In the figure below circle O has a central angle of 120 What is the area of the shaded sector of circle O in terms of r the radius Leave your answer in terms c A B C O 120 2 3 square units Tr square units Tr TTT square units

A tree trunk has a height of 30 feet and a radius of 2 5 feet Which of these best represents the volume of the tree trunk C D A B 236 ft 471 ft3 589 ft 2 355 f3

O A B C Event A 0 24 Which equation proves that events A and B are independent 0 24 0 13 0 22 0 13 0 13 0 24 0 13 0 22 0 41 1 1 0 24 0 13 0 22 0 13 0 13 0 41 D 1 0 13 Event B 0 22 0 22 0 13 0 24 0 13 0 41 0 05

A ABC is an equilateral triangle What are the approximate coordinates of vertex A D B 2 1 C A B 4 2 5 4 3 A x y 4 4 44 5 C 6 1 X

What is the perimeter of this triangle C A 4 5 33 units B B 36 units 39 units 8 5 8 4

Question 14 The roof of a house is represented on the coordinate plane below A 7 2 B 5 4 A builder attaches a support beam to the roof at a point exactly of the way between point A and point B What are the coordinates of that point Drag and drop numbers into the boxes to correctly complete the coordinates

Circle A is transformed so that its area has been quadrupled What are the resulting changes to its circumference and radius The circumference is doubled and the radius is doubled A D B C The circumference is quadrupled and the radius is doubled The circumference is doubled and the radius is quadrupled The circumference is quadrupled and the radius is quadrupled

6 In the diagram UQ and VP intersects at R and UV QP VR 65 UR 7x 1 RQ 130 and RP 169 U V 65 7x 1 R 169 130 What is the length of UR P O

In the diagram below of AABC TV BC AT 5 TB 7 and AV 10 B What is the length of VC is ver a 3 1 2 7 dodwyd TA c 14 d 24

In AABC shown below ZACB is a right angle E is a point on AC and ED is drawn perpendicular to hypotenuse AB A E B If AB 9 BC 6 and DE 4 what is the length of AE a 5 b 6 c 7 4 9 8 oxx

The equation 0 09z 55 64 models a person s height in inches where x is the weight of the person in pounds According to the regression equation what is the approximate height of a person that weighs 160 pounds O about 59 02 inches O about 70 04 inches O about 72 87 inches O about 74 56 inches

Name Billy Barbara Eli Ken Lara Lindsey Marie Beginning balance in thousands of dollars 6 4 3 1 8 3 4 Change in checking account in hundreds of dollars 6 5 2 5 4 8 2

The scatter plot shows the results of a survey in which 10 people were asked how many e mail accounts and how many credit cards they have How many e mail accounts does the person with 7 credit cards have Enter your answer in the box Number of credit cards 99876543NTO 10 2 1 0 6 1 2 3 4 5 6 7 8 9 10 Number of e mail accounts

3 In the diagram of AUVW below A is the midpoint of UV B is the midpoint of UW C is the midpoint of VW and AB and AC are drawn VC length VW 7x AB 3xH VC 5 U 3x 1 5 B V 1 If VW 7x 3 and AB 3x 1 what is the length of VC b 13 C 7x 3 W c 16 d 32

Two variables are correlated with r Which description best describes the strength and direction of the association between the variables O moderate negative O strong negative O moderate positive 0 925 O strong positive

Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot 0 0 8 0 0 25 O 0 25 O 0 8 Variable Y 6 5 4 2 1 O 0 2 3

Rose drew a regression line for this paired data set Her line passed through 1 2 and 3 5 What is the equation of Rose s regression line O 1 5z 0 5 O 2z 1 Oy 0 662 0 33 O 6 8z 1 6 3 5 9 2 5 6 10 15

0 3418x 14 3818 models the fuel economy of a car in mpg where x is the car s speed in mp The equation According to the regression equation what is the approximate fuel economy for this vehicle at 65 mph O about 22 mpg O about 37 mpg O about 46 mpg O about 49 mpg

8 6 OO 10 6 23 2 6 8 10 y 2 4 161 8 10 The point 0 5 lies on a circle that is centered at the origin Does 3 4 also lie on the circle 1 Identify the radius from the graph units 7 2 Determine the distance from the center to 3 4 using the distance formula distance units 3 Compare the radius to the distance Does the point 3 4 also lie on the circle

2 We can prove AXWY AXVZ by which similarity statement X 15 W 20 V 27 a SSS 36 Z b AAS E c AA

What is the area of the figure below 5 cm Select one O a 75 cm O b 37 5 cm O c 65 cm O d 32 5 cm

Find the length of the highlighted arc 8 ft Select one O a O b O c O d 8n ft 4n ft 16n ft 2n ft

Find the area of the shaded region to the nearest tenth 6 ft 120

Find the area of the shaded region to the nearest tenth C 4 m 6m

Find the area of the regular polygon Round answer to the nearest tenth Q 6 mm

What is the area of the figure below 4 5 m 3 m Select one O a O b 3 m 54 m 27 m2 O c 72 m O d 36 m 7 5 m

What is the area of the figure below 3 5 cm Select one O a 28 cm O b 40 cm O c 56 cm O d 20 cm 4 cm

What is the area of the figure below 12 ft O b 4 5 ft Select one O a 16 ft 40 5 ft 81 ft O c 63 ft O d 126 ft

11 Use the equation below to x y 8y 6x 25 a Rewrite the equation above by completing the square so that it takes the following form 4 points x h y k r b What is the center of the circle 1 point dical form 2 points

7 A circle in the xy plane has an equation x 1 y 3 9 Which of the following points lies on the circumference of the circle A 1 3 B 4 2 C 1 2 D 2 3 0 190 0

1 Which of the following is a radius 12 A QT B PS C QS D QP 2 Which of the following is a diameter A QT B PS C QS D QP 3 Which of the following is a chord that is not a diameter A QT B PS C QS D QP 4 Which of the following is a minor arc A QT B PSR T S

6 In circle B below CD is tangent to B at C and AD 8 and DB 13 What is the perimeter of ADCB A 12 B 30 C 36 D 42 B 4 D

10 Grid in the mzDGF Ignore the degree symbol when gridding in your response sibel i labla alvisi 4x 7 G D H 8x 31 E

9 Grid in the length of CD al isl STNK 12 Ax 1 E 30 B 3x 11

7 10 3 in 5 in 12 ft 8 in 12 ft 12 ft 8 11 3 ft 3 ft 7 cm 9 ft 7 cm 3 ft 16 cm 9 2 m 7 m 3 m 12 6 in 6 in 17 in 6 in

Angle G is a circumscribed angle of circle E Major arc FD measures 280 G M F 280 What is the measure of angle GFD 40 O 50 80 90

The measure of minor arc JL is 60 M 60 K What is the measure of angle JKL O 11 0 O 120 130 O140

Points E F and D are on circle C and angle G measures 60 The measure of arc EF equals the measure of arc FD G 60 E D C Which statements about the arcs and angles are true Select three options OZEFD ZEGD O ZEGD ZECD ED FD MEF 60 OmFD 120

Points A B C and D lie on circle M Line segment BD is a diameter D M B A What is the measure of angle ACD O 45 0 O 67 5 O 112 5 O 135 0

Points E F and D are located on circle C 68 D C F The measure of arc ED is 68 What is the measure of angle EFD O 34 68 O 112 O 132

Major arc JL measures 300 300 M K Which describes triangle JLM Oright obtuse O scalene O equilateral

What is the equation of the line that is parallel to line y 3x 8 and passe through the point 2 9 Oy 1 3x 2 30 Oy 3x 11 Oy 3x 3 Oy x 53 29

What is the perimeter of kite OBDE O 12 units O 22 units 38 units O 58 units A 24 C 10 E 6 B

Given ZAOB is a central angle and ZACB is a circumscribed angle Prove AACO ABCO C A B O We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O We see that AO BO because We also know that AC C since Using the reflexive property we see that Therefore we conclude that AACO is congruent to ABCO by the

O x 2 y 2 25 O x 2 y 2 25 x 2 y 2 5 21 5 4 6 8

What are the coordinates of the center of the circle represented by the equation x 3 y 4 25 3 4 3 4 3 4 3 4

What is the standard circle equation from the general circle equation x 8x 144 12y O x 4 y 6 196 O x 4 y 6 2 196 O x 4 y 6 144 O x 4 y 6 144

Find the center and radius of the circle with the given equation x 5 y 9 16 5 9 16 5 9 4 5 9 16 5 9 4 Question 14 1 point Write the equation of the circle centered at 2 1 and tangent to y 1 O x 2 y 1 4 x 2 y 1 1 O x 2 y 1 4 x 2 y 1 2 CXR

To prove the circles are similar which sequence of transformations will map circle A with center 3 8 and radius 6 to circle M with center 1 4 and radius 2 Translate 4 4 then dilate by scale factor of 3 Translate 4 4 then dilate by scale factor of 1 2 Translate 4 4 then dilate by scale factor of 1 3 Translate 4 4 then dilate by scale factor of 2