2D Geometry Questions and Answers

One leg of a 45 45 90 triangle measures 12 centimeters What is the length of the hypotenuse O 4 3 cm O 6 2 cm O 12 2 cm O 12 3 cm

A community is building a square park with sides that measure 110 meters To separate the picnic area from the play area the park is split by a diagonal line from opposite corners Determine the approximate length of the diagonal line that splits the square Round your answer to the nearest tenth O 110 meters 24 200 meters 220 meters 155 6 meters None of the other answers are correct

Find the missing side length Tell if the side lengths form a Pythagorean triple Explain 25 20 The missing side length is 15 The side lengths form a Pythagorean triple because they are nonzero whole numbers that satisfy the equation a b c 2 The missing side length is 32 02 The side lengths do not form a Pythagorean triple because one of them is not a nonzero whole number The missing side length is 5 The side lengths form a Pythagorean triple because they are nonzero whole numbers that satisfy the equation a c The missing side length is 32 02 The side lengths form a Pythagorean triple because they satisfy the equation a b c O None of the other answers are correct

18 5 10 5 1 P 10 S en the graph of f x above find the following and write your answer in interval notation Domain of f x Range of f x

A hummingbird lives in a nest that is 3 meters high in a tree The hummingbird flies 5 meters to get from its nest to a flower on the ground How far is the flower from the base of the tree meters

John leaves school to go home He walks 6 blocks due North and then 8 blocks due west How far is John from the school blocks

A rectangular carpet measures 7 feet long and has a diagonal measurement of 74 feet Find the width of the carpet feet

The main mast of a fishing boat is supported by a sturdy rope that extends from the top of the mast to the deck If the mast is 20 feet tall and the rope attached to the deck 15 feet away from the base of the mast how long is the rope feet

to 50 Find the value of x in the triangle to X

Type your answers in the space provided using your keyboard and the equation editor of your word processor Write the work and answer to every question on a separate sheet of paper Take pictures of each answer and upload the picture of each answer to the appropriate answer space e sure to complete all parts of every question 1 The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 4 and 12 Find the length of the shorter leg of the right triangle 3 points X 12

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

Which of these is a point slope equation of the line that is perpendicular to y 3 4 x 10 and passes through 3 7 O A y 7 x 3 OB y 7 x 3 OC y 7 4 x 3 OD y 7 4 x 3

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