2D Geometry Questions and Answers

PS P4 MAE P3 PI P4 Price OPS Q1 0303 Q4 Q5 Use the figure above Profit will be maximized by charging a price equal to Curve D Curve A Curve C Curve B Quantity

4 In ABC if m A 50 degrees m B 72 degrees and m C 58 degrees then is the shortest side

RHOM is a rhombus a b C d R 7 in 55 M

PENTA is a regular pentagon P q E I N A 1 50 P L

Two sides of a parallelogram meet at an angle of 42 If the length of one side is 10 inches and the length of the other side is 14 inches what is the length of the shortest diagonal of the parallelogram Give your answer to the nearest tenth of an inch

New parents wish to save for their newborn s education and wish to have 48 000 at the end of 19 years How much should the parents place at the end of each year into a savings account that earns an annual rate of 5 compounded annually Round your answers to two decimal places How much interest would they earn over the life of the account Determine the value of the fund after 10 years How much interest was earned during the 10th year

Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest This year the harvest at a farm was 94 010 bushels of grain resulting in a crop yield of 170 bushels per acre To the nearest whole acre how many acres were harvested 453 acres 489 acres 509 acres 553 acres

Each exterior angle of a regular decagon has a measure of 3x 6 What is the value of x x 8 x 10 x 13 x 18

13 7 points OO What is the value of y 1 77 5 2 5 23y 23 13y

LMNO is a parallelogram with ZM 11x and ZN 6x 7 Which statements are true about parallelogram LMNO Select three options L M 6x 7 N Student if you believe you earned partial credit on this problem please reach out to y x 11 mZL 22 C mZM 111 mZN 59 11x m20 121

Find the area of the sector Leave your answer in terms of pi OO 54 km 361 km 27 km 4 66 km 135 12 km

C 5 1 D 2 5 y 5 4 5 4 3 co 3 2 1 2 2 3 B 2 3 4 5 A 1 1 2 3 4 5 What is the perimeter of rhombus ABCD 10units 20units 2 7units X

2 Given the coordinates of A 0 3 and m 4 5 is the AB midpoint of Find the coordinates of B

Solve for x Each figure is a parallelogram 1 T 2x 15 x 15 L

A43842 d 4 4 2 23 d 64 16 a Teo 2 Given the coordinates of A 0 3 and M 4 5 is the midpoint of Find the coordinates of B 54 4 AB 3 Write an equation of the circle whose center is the origin and whose radius is 9 cm Y mx y ix 0 2 4 Given the equation of the circle below identify the coordinates of the center and the radius x 2 y 5 7 Write the equation of the vertical line through the point 11 7 y mx b

The perimeter of a triangle is 31 inches One side measures 14 inches Another side is 7 inches long Find the length of the third side c Step 2 of 3 Without substitution solve the formula chosen in the previous step for the unknown variable in terms of the known variable s Answer a b

Find mZA A D 96 Friday March 31 59 C 147 B

Is parallelogram EFGH a rhombus H G yes no D E F

Which angles are alternate exterior angles D G C E H J ZGHJ and FEC ZIHJ and ZDEH F ZFEC and GHE ZDEC and ZFEH

8 An angle is inscribed in a 100 to The degree measures of th

What is mZH H Wednesday March 29th 2x 66 G E x 30 F

What is the value of x G x 15 X FL H x 7 E

48 110 0 B mBC m B m C mAB DRAG DRO 96 77 154 55

Find mAD A D MAD 75 102 62 O C B

E Determine whether AB is tgt to the carcle with Circles s 4 15 OF SUBMIT O Yes

7 In the figur 106 640 Angle D Note Enter numeric values only 2 B 100 90 Value in degree 95

1 Which image is the dilation of the rectangle with the center of the dilation at the origin and a scale factor of 2 B 4 5 4 3 2 3 4 5 6 6543 2 3

Agent to orde be the gramothy ising the relationships agarding orcles and tangent fines B

Consider the figure shown below Figure is not drawn to scalel Solve for x y z X 8 y Z

B 75 C 90 B D 25 A C E If AABC ADEF the m A 80 and m E 75 what is m C A 155 D F

Find the missing measurement using the given picture B 57 114 130 116

in the fure A is tangent to circle at point Are QR measures 110 and are 8 measures 160 What is the measure in degrees of QPAST Enter your answer in the space prov 1100

1 JK and JL are tangents to circle C Solve for x 6x 3 2x 9 X

If rectangle DEFG is dilated by a scale factor of 5 with a dilation center of 0 0 what will be the coordinates of point D A 10 20 B 10 5 10 15 D 10 0 E 10 20

m2 DAB 85 2x m2 ABC 90 x m2 BCD 80 3x m2 CDA 105 4x D A

For AABC ZA 8x 10 zB 10x 40 and ZC 3x 20 If AABC undergoes a dilation by a scale factor of 10x which confirms that AABC AA B C by the AA criterion 2 A m2B m2B 54 and mZC m C 40 ZB 70 x and C B m2A MZA 70 and mZB m B 60 m A m A 76 and m C m C 53 Dm A m2A 35 and m B m B 30 NIK create AA B C with A 6x 10

6 A B If you were to place one more point on the coordinate plane to create a second triangle congruent to A ABC where should you place the point A 6 5 B 4 2 7 5 D 1 6

3 With a bit of geometry it can be shown that the height of a mountain H the mountain s shadow length Ls the distance from the mountaintop to the terminator T and the radius of the Moon RM 1738 km are related by Equation 4 Equation 4 LST RM H Use this equation to calculate the height of Mount Piton and then use the reference value to calculate your percent discrepancy Please write in these values Height Calculated in km Please list in Answer Percent Discrepancy Please list in Answer

Challenge The yearbook has 10 pages for ads Each page measures 6 in by 12 in Each ad measures 6 in by 2 in If all the ad space sells at 15 per ad how much money will this raise for The 10 pages of ads will raise S for the yearbook

Draw a horizontal vertical or diagonal line to represent the equation sin 0 0 13 and then use the line to help you solve that equation on 0 0 360 Express your answer in degrees to the nearest tenth

A company needs to package 7 560 beads A wooden container shaped like rectangular prism can hold 180 beads A plastic cylindrical container can he 126 beads The wooden container costs the company 0 70 while the plast container costs 0 40 Which container should the company use to minimize cost Explain The wooden containers should be used because it will cost 16 20 more to use the plastic containers The plastic containers should be used because it will cost 5 40 more to use the wooden containers The wooden containers should be used because it will cost 5 40 more to use the plastic containers The plastic containers should be used because it will cost 16 20 more

From Lesson 8 09 Angle Measures of Polygons H G K Which statements are true about the regular polygon Select three options The sum of the measures of the interior angles is 900 Each interior angle measures 108 All of the angles are congruent The polygon is a regular hexagon The sum of the measures of the interior angles is 180 5 2

8 08 Perimeter and Area of Rhombi Trapezoids and Kites A greeting card uses a geometric design containing 4 congruent kites The card is 4 inches wide and 8 inches long What is the area of one kite 4in 8in 12in

R 70 54 994 3 8 3 18 11 15 691 S Which expression can be used to find the area of triangle RST3 8 4 10 12 16 8 4 10 12 16 8 4 5 6 8

Which equations represent circles that have a diameter of 12 units and a center that lies on the y axis Select two options x y 3 36 x 2 y 8 36 x y 5 2 6 x 4 y 36

Based on the table below x 0 f x 23 Evaluate f 7 f 7 Solve f x 8 1 7 2 8 3 20 4 62 5 68 6 50 7 8 61 87 40

Classifying Quadrilaterals A paper hat is folded into the shape of a kite as shown 3x 5 in 2x 1 in 5x 1 in 10 inches 11 inches 20 inches 5 in What total length of ribbon is needed to line the two long sides of the hat

What is the equation in slope intercept form of the line that is perpendicul to the line y 4 x 6 and passes through the point 2 2 y x 10 y x 10 y 3x 1 y x 1

From Lesson 8 03 Directed Line Segments 8 8 9 71 v kn ni n 17 11 12 13 A 7 2 What are the x and y coordinates of point C which partitions the directed line segment from A to B into the ratio 5 8 Round to the nearest tenth if necessary 1 2 4 7 2 4 6 4 2 2 6 3 2 7 0 7

3 What is an equation of the image of the line y x 4 after a dilation of a scale factor of centered at the origin 314