Geometry Questions

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

9 Solve for the each length Round to the nearest tenth when needed P 6 a QP S 30 R bQS c QR

A ane has a slope of 4 What is the slope of any line perpendicular to this line O A C B C D undefined

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

A right circular cylinder is shown below B Which of the following could be a two dimensional figure that results when a plane intersects this right circular cylinder Select three that appl A circle C 80 cm D ellipse triangle 60 cm rectangle

Carl is attempting to find the value of 2 He set up the proportion 2 If Carl is correct what should his answer be If Carl is incorrect what is the correct proportion and answer Carl is correct and z 24 A D B C Carl is correct and x 6 Carl is incorrect because the proportion should be and x 1 5 Carl is incorrect because he cannot find x due to lines BE and CD not being parallel

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 number of pigs and cows on various farms Cows 80 82 882 88 70 60 50 40 30 20 10 0 0 e A H Number of Pigs and Cows G E F B D 10 20 30 40 50 Pigs 60 70 80 90 Which farmers had more cows than pigs 100 Name Josie Harold Connie Jackson Emma Jose Jaylan Mimi Jacob Emiel D Yosef Label A B C D E F G H 1 J K

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

Two variables are correlated with r 0 23 Which description best describes the strength and direction of the association between the variables O weak positive O strong negative O strong positive O weak negative

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 length of the highlighted arc 3 in Select one Oa O d 40 5 t in O b 2 3 O c 8 in t in 5 TT in

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

1 We can prove AWXY ASTR by which similarity statement W a SSS 75 60 Y R 60 b AAS S 45 T YEDILAR c AA SAS

Use OH for problems 11 14 Z 148 Y Answer 1605 H W 55 What is the circumference of OH Round answer to the nearest tenth 9m X ure of the angle of XX

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

5 Solve for the value of x A 4 8 B 14 C 6 D 2 anol K J 83 M 9x 4

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

12 Use the diagram below of circle A where AE 4 and DE 1 CB to answer parts a c a Determine the sector area of ACD in terms of 2 points 25 x0 v8 5 01 a b Determine the fraction of the circle that is shaded 1 points infond 100 FR Bound to the nearest tenth 2 points B IA C E

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

Identify the radius and the center of a circle whose equation is x 5 y 81 The radius of the circle is units The center of the circle is at

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

Line segment ON is perpendicular to line segment ML Line segment OM 13 units in length line segment PN 8 units in length M 13 O 8 Q N L What is the length of chord ML O 20 units O24 units 26 units O 30 units