2D Geometry Questions and Answers

2 A company wants to determine the amount of a vita capsule has a radius of 3 millimeters mm and a len

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Answer each 7 Select the focus and directrix for the parabola y 2 x 1 72 A Focus 1 3 Directrix x 1 C Focus 1 1 Directrix x 6 E Focus 1 3 Directrix y 1 B Focus 1 3 Directrix y 1 D Focus 1 1 Directrix y 2

In the diagram below AC II DB A A E D B 4 IfAC 3 DB 4 and AB 14 find AE

Given E is the midpoint of AC complete the flowchart proof below Note that the last statement and reason have both been filled in for you For each box choose a statement format from the dropdown menu You will then be able to change the letters to match the diagram for this problem Reason Type of Statement Reason Type of Statement Reason

In Section 6 2 we learned about slope fields a In your own words describe what the short line segments in a slope field represent

5 8 ft 4 6 ft X 3 5 ft Find the value of r

26 3ft 23 ft x2 Find the value of x Round your answer to the nearest tenth 12 8 ft ft

The endpoints of a diameter of a circle are A 1 1 and B 5 1 What is the area of the circle Area of a circle A A 1 1 9 square units 6 square units 3x square units 36x square units B 5 1

Given figure ABDC is a rhombus which of the work shown below most directly verifies analytically that the diagonals are perpendicular Slope AD 6 Slope BC 2 6 Slope AC 1 3 Slope BD 6 3 Slope AB H 6 0 3 2 0 2 2 Slope CD 8 1 0 6 1 Midpoint AD 2 4 Midpoint BC 2 4 Midpoint AB 236 0 5 6 Midpoint CD 3 5 2 Midpoint AC 0 5 4 Midpoint BD 62 6 4 5 4 2 0

Find the perimeter of the rectangle ABCD with vertices A 1 5 B 4 2 C 1 3 and D 4 0 B 43 15 units 3 3 2 5 30 units 16 2 units 58 units C 3 D AL 5

What is the area of the right triangle ABC given A 1 4 B 3 2 and c 1 2 2 C 3 2 3 A 8 square units 40 B square units 16 square units 2 10 6 2 square units

Which of the following best describes the translation rule and the scale factor of the dilation for transforming the circle C to C 104 Y 9 8 7 6 C 43 4 10 9 8 7 6 5 4 3 2 15 6664 bw N 0 2 3 4 8 9 104 2 3 4 5 6 7 8 C

question below Suppose a circle has center 5 10 and passes through the point 6 6 The x intercept s are 5 10 6 6 X Enter the coordinates of the x intercepts if there is more than one enter them separated by commas

Progress Saved Add Question 2 0 1 pt 399 Details The distance between the points 4 5 and 5 3 is Enter your answer as an exact radical

Solve for x Each figure is a trapezoid C 2x 4 D

5 Determine z X 14 0 ft Z Y N X 52 46 83 W 9 9 ft

1 When do we use Heartbeat and when do we use Boomerang Be specific

C OD 14 In the diagram at the right AC DC DE

Find the length of the indicated arc 195 O2197T 24 O 13 ft ft 13 ft 169T 12 5 ft 6 ft

Find the measure of chord MP L 5 2 16 4 units 8 49 units 72 16 units 11 2 units M X P

What is the m BDE J O O 00 313 86 94 47 E 47 B D

Find m ECF D B 57 123 246 114 57 A F E

Find the value x 19 8 12 1 6 3 17 6 12 4 x 44

Jacob ate a slice of pizza that his mom left on the counter What is the area of the remaining pizza pie 300 261 80 cm 18 84 cm 31 42 cm 102 83 cm R 10 cm

1 point What is the measure of the angle of one slice of pizza if the length of the crust arc is 4 9 in and the length of one side of the slice is 6 2 in 4 9in 6 2in 45 28 52 7 32 9

Find the area of the indicated sector 2m 1080m O 3 m 65 m 4 270 200 m 3

Find the value of x 3 D 7x 9 B ipon does not nola 4 5x 9 C D 9x 8 30 A 7x 4 4 000 Be novin E

1 D 3 5 5 4 3 2 1 C 4 1 5 4 3 2 7 2 3 4 5 y 2 A 3 4 3 4 5 B 2 2 X What is the perimeter of square ABCD

Question 11 1 point Given m CED 220 determine the measure of the angle ZDBC You may assume that point A is the center of the circle and rays BD and BC are tangent to the circle O 500 45 55 40 E 220 C D X Figure may not be drawn to scale B

art 1 Determine and write the equation of ansformations are applied to the gra The graph of f x is reflected about t nito

Question 1 point Given CD 60 and LEBF 30 determine the measure of the arc You may assume that point A is the center of the circle O 100 O O 900 70 950 60 C 80 B E 8 Figure may not be drawn to scale

The scale factor ratio of the circumferences is the same as ratio of their areas chords Oradii tangents

Consider the following diagrams Figures may not be drawn to scale Region A Region B A 40 B Region A 6 cm C S Region B R 100 4 cm Use the above diagram to compare the two sectors shown Based on the measures provided in the diagram which shaded region is larger Both Regions have the same area There is not enough information to compare the 2 regions Region A is larger Region B is larger

Question 9 1 point Given mFD 140 and mC 52 determine the measure of the angle ZFBD You may assume that point A is the center of the circle 41 580 1110 44 Question 10 1 point Based on the measures provided in the diagram determine the measure of ZCAB 140P 49 Figure may not be drawn to scale

M 15 in 26 54 41 71 13 27 20 85 Questi N L What is the length of segment LN 7 in K

Question 8 1 point B Your Answer C If m D 92 and m A 59 find m B

5x 8 B Solve for x O A 9 12 2 053 106 53 C

What is the circumference of the circle described by the equaion x 3 4 16 Hint Co 2xr 4x units 3x units 16x units 32 units G

What is the radius of a circle described by the equation x 6x y 2 1 19 r Or 9 Or 3 Or 1

Which of the below graphs best represents the equation 2 2 2 2 2 2 2

Determine the center and radius for a circle defined by x 1 2 y 81 O center 1 0 radius 9 center 0 1 radius 9 center 0 1 radius 81 center 1 0 radius 9

What is the graph of the circle described by the equation 2 2

If the endpoints of a diameter of a circle are 6 2 and 0 2 where is the center located 4 2 4 0 3 2 3 0

3 In right triangle PTY shown in the diagram below altitude PH is drawn to hypotenuse TY PY 5 cm and TY 13 cm Determine the length of HY Heartbeat or Boomerang Proportion

Find the point E that partitions the directed segment CD in a ratio of 1 5 given the points 4 2 and point D 24 K D 19 19 O 3 1 O 20 12 C 5

4 SAT Question Systems of Equations A group of 30 students order lunch from a restaurant Each student gets either a burger or a salad The price of a burger is 5 and the price of a salad is 6 If the group spent a total of 162 how many students ordered burgers

right triangle below altitude AD is drawn to hypotenuse AC DB 5 and BC 20 Determine the length of AD in simplest radical form B A Heartbeat or Boomerang Proportion C

What is the length of the segment AB shown in the graph A N 3 3 14 units 2 13 units 412 units 52 units B DV 1 A