Geometry Questions

K Use transformations of the graph of f x x to determine the graph of the given function h x x 3 What transformations are needed to graph the function h x x 3 2 Choose the correct answer below OA The graph of f x x should be horizontally shifted to the left by 3 units and reflected about the y axis OB The graph of f x x should be horizontally shifted to the left by 3 units and reflected about the x axis OC The graph of f x x should be horizontally shifted to the right by 3 units and reflected about the y axis OD The graph of f x x should be horizontally shifted to the right by 3 units and reflected about the x axis Use the graphing tool to graph the function Click to enlarge graph 10 2 Ay

Yvetia ordered two pizzas for her family Both pizzas are rectangular The larger pizza s width is equal to the length of the smaller pizza and the larger pizza s length is twice the width of the smaller pizza The sum of the perimeters of the two pizzas is 96 inches and the sum of the areas is 288 square inches Determine the dimensions of each pizza Answer The smaller pizza is Number inches by Number inches inches by Number inches and the larger pizza is Number

Evaluate each expression without using a calculator Hint Sketch a right triang tan arc a tan arccos cos arcsin 15 b

Complete the congruence statement M P N H O T U

a as x 2 c as x0 cotx tan x e as x cotx g as x0 csc x i as x cscx k as x 7 secx to complete each state b as x d as x 0 cotx f as x cotx tan x h as x 0 csc x j as x n csc x I as x I 2 7 secx

100 2 Move point C so the measure of arc AC is 50 What is the measure of ZABC 25 D 3 Make a conjecture Which measures will change if you move vertex B of the inscribed angle B A C mZABC 52 mAC 104

Graph g x 2 2 2 given the graph of the parent function f x 2 7 6 5 4 3 2 2 6 5 4 3 2 Me 4 24 3 4 5 V 2 3 5 10

Solve for x Round to the nearest tenth if necessary S 98 R X 31

Explore the properties of inscribed angles by following these steps 1 Move point C so the measure of the inscribed angle ABC is 50 What is the measure of arc AC B A C mZABC 52 mAC 104

9 What is the distance from A to B 12 998 B 59 5 712 R4 000

A 2 B A B Make a conjecture Let points A and B stay in the same position What would happen to the angle formed if the vertex of angle AOB was moved from the center to point C which lies on the circle The measure of angle ACB is measure of angle AOB less than greater than the same as the

Use transformations to help graph the function f x 6 3 Identity the domain range and horizontal asymptote Determine whether the function is increasing or decreasing The points 1 0 1 and 1 6 transform to the points Type ordered pairs Use a comma to separate answers as needed 10 18 15 4 2

20 Plots a few points and then sketch the graph of the polar equation r 5 csc 0 Then convert the equation to rectangular coordinates and confirm your sketch

Compute the sums below Assume that the terms in the first sum are consecutive terms of an arithmetic sequence 9 5 1 363 109 5z 13 0 X S

19 A plaza is to be constructed in a city redevelopment area The shaded area shown represents the proposed plaza Determine Zy in the diagram below to the nearest hundredth degree 204 0 m 62 00 m RADIUS 1620 m

1 14 ft 2 3 12 ft 1 yd of the shaded area round to the nearest 100ths Area 6 ft 12 ft 7 ft 24 5 ft 7 ft 11 ya A 14 7 24 5 Area Area

Find mZY in rhombus VWXY V 9z 14 mZY Y W 6z 26 X

Look at this diagram P M N 0 K If JL and MO are parallel lines and m JKI 42 what is mLk

a b Find the coordinates of the center of this circle V Center 1 4 What is the radius of the circle radius 6 units C Plot the graph for the given circle

Complete the congruence statement K 20 km 13 km 18 km O 13 km 18 km 20

What values of y and z make ABCD AGHF B 5y 17 C z 28 D F 15z 4y H

tree on a hillside casts a shadow c 210 ft down the hill If the angle of inclination of the hillside is b 19 to the horizontal and the angle of elevation of them a49 find the height of the tree Round your answer to the nearest foot

Plot the graph for the given circle 10 5 10 5 y

16 Determine the length between point A and point B calculate the 1 and 2 in the following graphic 11 16 m 20 00 m DIA T 30 00 m DIA 51 30 m 22 B 5 580 m CLSC Banyago

Consider the circle with two intersecting chords A x 9 D 12 X 6 B

A circle has its center at the origin and a radius of 8 units Draw a graph of this circle 10 10 5

a Consider the circle with equation x 2 y 1 29 State the coordinates of the center of the circle Give your answer in the form a b Center Enter your next step here

The equation of a circle is given by x y 11 Determine the radius of this circle Eston here

etry Q4W3 Float Circles Write the equation for a circle with center 0 0 and radius 6 in the form x h y ur next step here

The equation of a circle is given by x 1 y 4 36 a Find the coordinates of the center of this circle Center Enter your next step here

Write the equation of the circle with its center at 6 1 and a radius of 3 units in the form x h 2 y k r Enter your next step here

18a Consider the circle whose equation is x 2 y 5 9 State the radius ten bera

What is the surface area of this triangular pyramid 3 mm 3 mm 26 mm 3 mm 3 mm

On the coordinate plane the segment from B 14 11 to C 4 11 forms one side of a rectangle The rectangle has an area of 54 square units Select all of the points that could be a vertex of the rectangle

QR is tangent to circle P at point Q Q R 5 3 3 P What is the approximate length of RP Round to th nearest tenth O 5 6 units 6 1 units 8 3 units O 9 8 units

Angles PTQ and STR are vertical angles and congruent P R Which chords are congruent O QP and SR O QR and PQ OPR and RS OPR and PS

In circle N KL ML Ex 4 J K 7x 7 N 13x 2 L M 8x 3 What is the measure of JNK O 66 O 74 O 77 080

In circle D ZEDH ZEDG E 57 9 4 3 F D 66 G C H What is the measure of EH O 114 123 228 O246

In circle T LPTQ RTS P T S O 4 3 66 R What is the length of PQ O 3 units 4 units 6 units O7 units

QR is tangent to circle P at point Q P 53 D R What is the measure of angle R O 37 O 53 O 90 O 97

In circle A ZBAE ZDAE 3x 24 B E X 10 A D What is the value of x O 14 O 17 O 27 O 34

Circle T has diameters RP and QS The measure of ZRTQ is 12 less than the measure of ZRTS S R P What is the measure of QP O 78 84 88 96

LK is tangent to circle J at point K L O 6 11 7 r K What is the length of the radius 6 85 O 85 12 O 121 36 O 157 12

In OH Kjk mik 11x 2 and mjk 12x 7 H K What is the measure of ikj mikj

Circle J is congruent to circle P K O M T P R If OK 2x QR 12 and RT x 3 what is the length of chord KM O 8 09 O 10 O 12

The UAV is flying at a speed of 13 meters per second in direction toward the fire Suppose the altitude of the UAV now 800 meters The new position is reprented at F in th figure A 0 6 O A D From its position at point F how many minutes to the nearest tenth of a minute will it take the UAV to be direc over the fire B 1 2 C 1 8 30 D 2 0 F

Circle A is congruent to circle J Chords BC CF EG KL LO and MP are congruent B C A G E D F L K M N O P Which arcs are congruent Check all that apply BCMP BC MO CF KP OEG KL OLOMP

AB is tangent to OC at point B and AD is tangent to OC at point D B 124 D A What is mZA O 34 O 62 O 56 O 124

X R 12 P 9 Q What value of x would make Ro tangent to circle P at point Q X

LN is tangent to circle O at point M and QM is a diameter P Q 42 O N 27 R M L Determine the measure of the following angles The measure of ZQML is degrees The measure of ZPMN is degrees