2D Geometry Questions and Answers

4 19 X 6 triangle Nienste a 25 A 3 Lo thanghe Hiaste

Chang knows one side of a triangle is 13 cm Which set of two sides is possible for the lengths of the other two sides of this triangles A D B C 5 cm and 8 cm 6 cm and 7 cm 7 cm and 2 cm 8 cm and 9 cm

10 9 8 7 6 5 4 3 2 1 A B D This graph shows triangle EFG C E FNPTY PRO 9 6 7 9 10 10 8 546265 The transformation x y x y maps triangle EFG to triangle E F G Felect the true statement N 3456 The coordinate of F is 8 1 The coordinate of E is 4 4 8 9 10 The coordinate of G is 2 3 The coordinate of F is 1 8

The probability that Milo will be assigned math homework is 0 35 The probability that he will be assigned both math and writing homework is 0 20 The probability that he will be assigned either math or writing homework is 0 65 What is the probability that Milo will be assigned writing homework B C D 0 10 0 15 0 30 0 50

The fair spinner shown below is used in a board game 2 In the game a player spins the spinner twice and finds the sum of the results of both spins The player then moves forward that many spaces on the game boa How many different numbers of spaces are possible for the player to move forward Enter your answer in the box

Look at the three dimensional solid below Which two dimensional shape can be rotated to create this solid D B C A 4 A

The coordinate plane below shows point P 2 2 and the line y x 1 ON P 2 2 B C 6 5 4 3 2 10 23456X 321 2345 2 54 3 5 6 Which equation describes the line that passes through point P and is perpendicular to the line on the graph A y x 3 y x 1 y x y x 3 D y x 1

C D Ricardo has a square hot tub He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5 If the pool is to be 24 ft on each side what is the length of one side of the hot tub A B DC A B D 4 ft 4 8 ft 6 ft 7 2 ft B 24 ft C

Which rule explains why these triangles are congruent X A B AAS SAS H W Y V

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