2D Geometry Questions and Answers

5 mZDEC x 53 m DEF 176 and m CEF D E C x 137 Find m DEC

13 Find x if mZEFR 9x 3 m EFG 170 and m RFG 16x 2 E R

12 Find m TSR if m TSH 24 and m HSR 150 R S T

20 Find x if m 2 10x 3 and m WUV 17x 6 1 2 P W

14 m IJH 31 x m HJK x 147 and m IJK 164 Find x K J

16 m KLY x 33 m KLM 180 and m YLM x 157 Find m KLY M L K

11 Find m2DEG if m DEF 178 and m GEF 120 F E

Find the length indicated 9 Find KJ K X 8 J x 5

Using the triangle below find the missing length for side d Round your answer to the tenths place d 72 29 h 48 7 cm

15 Use fundamental trig identities to expand and simplify cos x sin Select one cos2x 1 cos2x 1 sin2x 1 sin2x 1

For a triangle AABC we have a 6 1 B 35 and A 64 Find side b Assume standard notation i e vertex A is opposite side a etc Hint Apply Law of Sines

Graph the point on a polar grid Select one

Find angle P in the triangle below Round to a whole number a 31 8 17 2

How many petals does the graph of the polar equation r acosbe have if a and b are positive integers Select one O a Cannot be determined with the given information O b b O c a O d 2b

Convert the polar equation to rectangular form r 10 cos 0 4 sin 0 Select one O a O b x 5 y 2 29 O d r 10x 4y OC x 2 5 29 y 10 sin x 4 cos x

Find the component form of the vector V 1 The component form of vis 14 77 Fill in the blank and round your answer to the nearest hundredth

between characters For example 3 5 15 4 Help Lecture 45 Ex 45 3 3 x units describe g x symbolically Then find g 1 1545 Given that f x and g x is a function of f x shifted to the left 3 units and I

A 9TT B S What is the volume of the cone in the picture if S 5 and R 3 V 12TT H R

x A guy wire is attached to a pole the ground at a point 137 feet fro

Drag the point M below to the midpoint of the points 4 5 and 5 7 shown below Provide your answer below 4 5 4 5 5 5 M 5 7

Sketch a graph with a line of symmetry of at 2 a range of y E 4 c and x intercepts 5 s from the line of symmetry

alculate the x and y components of the vector given below Do not round any intermediate computations and round your responses to the nearest hundredth h kt 100 50 95 100 50 50 x y X

A suveryor is determining the area of a triangular piece of land bordered by three streets In the coordinate plane the vertices of the triangle are at 0 0 100 300 and 200 200 One unit coordinate plane represents of land 1m What is the area of the piece

5 6B The parabola in the image has its focus Select ALL of the TRUE statements

Figure F is graphed 1 6A Transform figure F using the rule x Coordinates o Coordinates of F

What is the value of x X 510 X X 240 T S X 42

What is mFG G 55 mFG Submit D O F 75 115 E

What is m4IKJ H mZIK I K 65 70 O G 3

What is mSU S mSU 110 O U T 150

What is mQR Q R mQR 145 O 150 P

EQUATIONS WITH VARIABLES ON BOTH SIDES le Constants 3x 3 4 8x x 2 2 7x 4 6x 12 4 3 2x 12 4x 4 Check all that apply That negative 4 ar positive 4 are going to do what Divide each other Cancel each other out Create Zero pairs

What is the inverse of 4 Division Subtraction Addition

x A section of a roller coaster track forms a parallelogram ABCD If m2ABC 72 what is m DAB x x A 144 B 108

Which set of angles are vertical angles A 1 and 7

Look at this diagram G J M K F H I L 1 If GI and I are parallel lines and m JKH 111 what is m

Which angles are supplementary angles N L K M ZMLI and ZHIL ZHIG and ZMLN H I J G ZKLN and JIG ZHIG and ZHIL

The quadrilateral shown is a parallelogram If

Which lines must be parallel A B cannot be determined p and r

B 6x C x 15 D A D 9 C 3y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent Show that qua

Lines I and mare parallel lines cut by the transversal line t Which angle is congruent to 3 x x x Ex A 28 B C A 24 25 D 26 3 4 5 6 7 8 n

What is m DGF F D m DGF G 150 O 150 E

man 2 meters tall walks at a rate of 1 5 meters per second away from a light that is 5 meters above the ground see figure a When he is 3 meters from the base of the light at what rate is the tip of his shadow moving m sec b When he is 3 meters from the base of the light at what rate is the length of his shadow changing Im sec

K For the polynomial function f x x x 3 x 4 answer parts a through e a Use the Leading Coefficient Test to determine the graph s end behavior OA The graph of f x rises to the left and falls to the right OB The graph of f x falls to the left and falls to the right OC The graph of f x rises to the left and rises to the right OD The graph of f x falls to the left and rises to the right b Find the x intercept s The x intercept s is are Type an integer or a decimal Use a comma to separate answers as needed At which zero s does the graph of the function cross the x axis Select the correct choice m

y r 4r 3 to 8 7 6 5 4 3 2 Clear All Draw Vertex 345 2 8 8 9 6 5 6 7 9 10 ANVO 6 7 8 9 1

Question 4 Sketch the graph of the function f x 2 3 3 4 3 2 1 4 3 2 1 2 1 2 3 4 5

Question 7 Identify the operation that will trans g x 2 4 O g x is obtained by reflecting f x in th

x Asolid cylindrical steel rod has a bas

1x The area of each book is 63 in The height of the stack is 15 75 inches What is the vo

x A 5 Consider a block of cheese cut in the shape of a triangular prism The front and back faces are isosceles

x What is the volume of the square pyramid shown if the base has a side length of 8 and A 576