2D Geometry Questions and Answers

O A baseball diamond is a square with sides of 90 feet What is the shortest distance to the nearest tenth of a foot between first base and thir base Round your answer to the nearest tenth 4 points

2 Finc the lengths tenth 3 points 12 g 5 g n J Round answers to the nea

3pts A circle has a diameter of 17 inches what is the circumference of the circle 53 41 C 2nr d 2r c nd n x 17 53 41 3pts Using the same circle from problem 1 what is the length of a 2 A 123 B Figura 1

Drag each label to the correct location on the flowchart Given Line 1 and line m intersect Prove 21 23 X Complete the proof m 21 23 23 is supplementary to 24 22 is supplementary to 23 Line I and line m intersect 21 is supplementary to 2 22

D Name two pairs of congruent angles in the figure Justify

K Use the slope intercept form to graph y 2x 1 Use the graphing tool to graph the line and y intercept when drawing the line Click to

The cube root of the sum of a number and 4

Find the length of the arc of a circle of radius 12 inches subtended by a central angle of 310 Answer exactly in terms of pi

Is the binomial a factor of the polynomial function f x x 3 3x 2 25x 75 Select Yes or No for each binomial

The Campagnolo Hyperon Ultra Two carbon wheel has 22 spokes evenly distributed an spokes rad

2 Reflect the shape over the line y x Plot the image and label the points Write coordinates 70 C A 3 2 A B 8 3 B C 7 8 0 D 5 9

Draw an angle in standard position with the given measure 80 50 88 3 k 54 3 2 1 3 2 1 2 2 3

MA 912 GR 1 5 Directions Complete the formative assessment in the space provided below b1tb2 2 MS Workspace Tulips should be planted three inches apart to give a full look The Starlings have a trapezoidal plot for a flower garden as shown in the figure They are going to tulips along the parallel sides of the garden The midsegment to the garden is 10 feet long Tulips are sold in bags of 25 bulbs x 4 ft 10 x x 4 x x 4 2 10 Part A What are the lengths of the parallel sides of the garden Part B How many tulips are needed to line the parallel sides Part C What is the minimum number of bags the Starlings need to purchase to have enough bulbs to line the parallel sides of the garden Part A Find CD Quadrilateral ABCD is a kite Part B Find the perimeter of kite ABCD A 12 5 8 T D MAS

1 Explain why ANRT ANPM 8 R 11 A 5 For 5 7 complete the following proportions X 6 X H M 12 N 8 T N MJ For 8 12 find the following variables 3 M 30 G S 9 For 2 4 complete the follo 5 For 11 12 find the following variables GN GM NH R W 12 2 T 7 6 2 X 3 4 GJ GH GN SV SR RT 18 ST SW SV 10 AA a 9 SR VW TR 7 GM NHMJ

Day 5 Use the figure to complete the proportions 1 3 EF BA FG 5 C X 4 EB FA FG n D H 9 18 Determine the value of the variable so that DE BC A 15 2 X 4 E X 6 riangles Segment Lengths CB BA EF Determine the length of each segment 7 FE 8 AF EG AY ED CB Find the value of the variable 21 B 30 A 6 4 cm G 4 cm 10 B B 3 cm H E 25 K A B 6 cm L 4 20 6 18 D 21 C 8 B 5 cm M 8 NY P D

The 19 explain why it is segments in each figure are tangent to the circle at the points shown Find each length A 20 B 21 D 5r 7 7r 9 Co B A n 8 Co B 2n 8 D 22 Co Co A A B 11z 7M 14z 2 8c 1 10c 15 D D

Which step s will map ABCD onto A B C D B A TG D AY B A C D OA Translation 8 units left and 4 units down OB 180 clockwise rotation about the origin C Translation 8 units left and reflection over the x axis OD Translation 8 units right and 4 units up

Level ML 6 Add subtract multiply and divide polynomials 5WQ Divide If the polynomial does not divide evenly include the remain 13v117 v 9

Divide If the polynomial does not divide evenly 2 3y 11y 10y y 2 19

neach circle A and B are points of tangency Find the measures of the inscribed ngle and the circumscribed angle 5 12x 1 C A B 4x 5 D 16 4x 6 A D B 6x 14

Using the graph below point B is represented by U

Given the graph below which coordinates represent the point E Select one or more a 3 b 420 3 C 2 3 d 3 4 e 4 3 f 3 420

Given the graph Find a Find the equation Select one or more 1 20 a b c d 10 e f a a 1 20 a 5 a 5 a x a y 6 8 y a x 6 h x a y 5 20 10 0 10

10 Find the exact area of the surface obtained by rotating the curve about the x axis 9x y 18

What is the volume of this figure 4 in 11 in 13 in cubic inches 7 in 4 in

A larger tree is to the left of a smaller tree The smaller tree casts a shadow of 15 feet and is 6 feet tall The larger tree is 20 feet tall and the shadows of both trees meet at the same point Grid in the length of the larger tree s shadow Ignore units when gridding in your answer

Choose the true statements about this conic section x 3 1 4 64 25 1 Select one or more a Opens to the left and right b Center 3 4 c Center 4 3 d The graph opens vertically up and down

AABC AFED and AB 6 in BC 8 in CA 10 in and the perimeter of FED is 36 in Grid in the sum of ED and DF Ignore units when gridding in your answer Gin 10in B 5 8 instal 201 C CASE fe veas lambobs nicido od llw 2010 nom duiw is odysm 11 sib liftszom

In the figure below AE CD and segment AD intersects CE at B creating similar triangles Grid in the length of segment CE sirius 10 B 5 8 E

x 10 3 points The area of ALMN is 200 ft and the area of AXYZ is 1 600 ft The length of LM is Determine the length of XY to the nearest tenth

Identify the cross section of the regular square pyramid Assume objects are perpendicular if they appear so

FO PG diagram above AJ BK CL DM EN AB BC CD DE EF FG GH HI AB 2 and NE mi6 what is the length of JA A 12 B 14 voors C 16 D 18 oul to nousup K 2920 M D A B C D E F G H

Find P Even Number Numbered Card O 59 2 THAT TH 9 19 kr

Find P Red King Face Card 82 38 32 HIT TART THE AUTA AUTA 54 87 29 1 MACE

Dependent An opaque bag contains 5 green marbles 3 blue marbles and 2 red marbles If two consecutive marbles are drawn without replacement what is the probability that the first one will be green and the second one will be red 0 51 0 0 10 OOT 0 16

92 L 68 a What m PN b What m c What m LM M P Figure 3 6 3pts each Using Figure 3 above fil the following PNM N

Question 11 Right triangle RST is shown below with the dimensions given in feet ft A 15 1 B Which is closest to the measure of ZR C 15 7 74 3 S D 74 9 17 ft T 63 ft R

b What m c What m 123 B Figure 1 3 3pts each Using Figure 1 above find the following a What m AC BC AB C

In the following figure line L is parallel to line M and angle 3 is a right angle a Name a pair of alternate interior angles b Name a pair of corresponding angles c Name a pair of non adjacent complementary angles 6 7 1 2 3 5 4 89 M

10 Determine the measure of angle ABC in the figure The dotted lines are all vertical lines Explain your reasoning A B 63 42 C 30

A student determined the measures of the following angles in the order listed but they did not explain their reasoning For each step give a justification that the student could use for why it is the measurement stated In the figure BD is parallel to AE Step 1 Step 2 Step 3 ZBDC 78 ZCDF 102 Zx 102 Justification A C 32 B 70 D F E X

8 In the following figure line AB is parallel to line DE Which pairs of angles are equal Justify your responses Name angles clearly A C B

A circle has the equation x y 3x 4y 4 0 Graph the circle using the center h k and radius r Find the intercepts if any of the graph Use the graphing tool to graph the circle

Find the value of c in rhombus PQRS R Q 4c 8c 12 P S

12 Describe a relationship between the angle 0 the hypotenuse makes with the z axis in each triangle and the angle of rotation Use the diagram to help you think about the question The dotted arc shows the angle of rotation 7 201

Find the value of u in rhombus BCDE C 3u 29 B D 2u E

Find the volume generated when the region bounded by the graphs of y x 2 and y e is rotated around the following axes of revolution 1 y 2 2 y 2 3 x 3 4 x 2

39 Draw the triangle ABC where A 0 0 B 2 0 and C 0 1 The image of ABC is A 0 2 B 0 4 and C 1 2 Find three different ways of trans forming triangle ABC so that after each of e transformations its image is triangle A B C

2 Sketch a graph of the function a x x 4 Describe the transformations to the graph of y x 4143

What value of c makes x 2 24x c a perfect square trinomial 144 48 48 144