2D Geometry Questions and Answers

Instead of walking on the sidewalk around the perimeter students take a diagonal shortcut from corn corner across a rectangular vacant lot that measures 57 ft by 190 ft To the nearest foot how much distance do they save O 65 ft O 198 ft O 141 ft O 49 ft Time Remaining 08 ft

ISM Quiz 5 4 Ims svhs co k How to sketch polar curves Kri Which of the graphs below are the graph of the polar equation r 3cos 20 when changes from S

When graphing r 9cos 40 the cos 40 0 on the interval

B 6 3 E X m BAD m DAC AE 3 cm AB 6 cm AC 9 cm Yukar daki verilere g re ED x ka cm dir A 15 B 13 C 12 D 10 E S

Use the triangle given below to find an algebraic expression that is equivalent to the expression csc arccos 1 x For what range of values for x does this equivalence hold 8 1 1 x

Solve the inequality graphically Write the answer in interval notation x 4 less than equal to 5

ev Identify the quadrant or axis that the following point lies on If the point lies on an axis specify which part positive or negative of which axis x or y Answer 1 Point Selecting an option will display any further inputs needed to complete your answer O Quadrant I O Quadrant II O Quadrant III 0 9 O Quadrant IV Keypad Keyboard Shortcut

The graph below shows the function y log b x Which statement must be true about b Select one a 0 b 1 b b 1 c b 1 d b 0 3 2 1 21 3 4L 2 3 4 5 6 7 00 8

In the graph below the red graph is y cos x What function s represent the blue graph 4x 3 1 X 3 1 Select one or more a y cos x 3 b y cos x 4 c y cos x 2 d y cos x e y cos x 4 2x 3 1

Vrite a system of inequalities that describes all the given conditions and graph the feasible region of the system Joyce is the marketing director for a new company selling a fashion collection for young women and she wishes to place ads in two magazines magazine V and magazine E Joyce estimates that each one page ad in magazine V will be read by 1 8 million people and each one page ad in magazine E will be read by 1 3 million people Joyce wants to reach at least 8 million readers and to place at least 2 ads in each magazine Write a system of inequalities that describes all the given conditions Let x represent the number of ads in magazine V and y the number of ads in magazine E Choose the correct answer below y z 1 38 x 6 15 x 22 y 22 Round to two decimal places as needed Choose the correct graph below OA O C OD Q

K Graph the feasible region for the system of inequalities y 6x 2 y 3x 4 Use the graphing tool on the right to graph the feasible region for the system of inequalities Click to enlarge graph 10 B B 10 8 G T

In general if a single y value corresponds to multiple x values then the inverse function which has y values as inputs and x values as outputs isn t a function the inverse doesn t exist On a graph points with the me y value but different x values are on the same al ling

Math 2 SSS SAS AA State if the triangles in each pair are simila complete the similarity statement 1 H G 20 18 AFGH F 9 10 M L op

Find the value of x to the nearest tenth Select one a 38 4 b 38 5 c 6 2 d 5 9 15 23

Write the ratios for sin A and cos A A 10 Select one a b C d 26 24 sin A sin A sin A sin A 12 5 B 1 5 13 12 13 12 13 cos A cos A cos A cos A 5 13 12 13 5 13 5 12

Find the length of the leg If your answer is not an integer leave it in simplest radical form Select one a 24 24 Ob 12 2 288 d 2 3 C 45

Find the length of the missing side Leave your answer in simplest radical form Select one 10 ft a 206 ft b 2 74 ft c 26 ft 14 ft Time le

Determine if the function in the graph is one to one 4 A The function is one to one B The function is not one to one Determine if the function in the graph is one to one A The function is one to one B The function is not one to one Determine if the function in the graph is one to one R

core 0 7 3 7 answered 3 o Question 3 Details Submit Question 0 1 pt100 99 Find c if a 2 7 mi b 3 83 mi and ZC 41 9 degrees Enter c rounded to 3 decimal places C mi Assume LA is opposite side a LB is opposite side b and LC is opposite side c Question Help Video

A 2x 16 L C I E F J 3x K H B D

1 A 6 10 B e D E A B C do rusal 3 DE AE AB 6 cm BC 10 cm Yukar daki verilere g re AE ka cm dir A 6 2 B 6 3 C 9 2 D 12 E 12 2

7 Construct an angle with measure equal to 2 m MOV mZVOR Label It ZHGJ

Complete the proofs below by filling in the missing statements and reasons 19 Given 21 and 22 form a linear pair 21 23 Prove 22 and 23 are supplementary Statements 1 21 and 22 form a linear pair 2 21 and 22 are supplementary 3 m 1 m2 180 4 21 23 5 m 1 m 3 6 m 3 m2 180 7 22 and 23 are supplementary 1 2 3 4 5 6 7 Reasons 3 2

28 Given WY XZ Prove WX YZ 1 WY XZ 2 WY XZ 3 WX XZ WZ WY YZ WZ 4 XZ YZ WZ Statements 5 WX XZ XZ YZ 6 WX YZ 7 WX YZ 1 2 3 4 5 6 7 W X Y Reasons

swer each of the following questions about transformations a Write the equation of a function that has been transformed up 4 adn right 3 from its parent function b In the function f x 3x4 8 what does the 3 coefficient tell you c In a function how do you determine if there is a horizontal stretch compression

Ed 16 5 O B LL F M FB is tangent to the circle shown Given FB 12 and AF 8 what is Al O 18 10

In circle W m VWX 119 Solve for x if mVX 12x 27 If necessary round your answer to the nearest tenth V W X

8 2 5 12 Determine critical points draw the phase line and sketch the solution y 4 y dx

G is an enlargement OT Find the centre 5 scale factor 5 O 5 G G D 5

f x x 2 The vertical stretch by 2 then the vertical shift up by 3 The vertical shift up by 3 then the vertical stretch by 2 Reflect Are the resulting graphs the same Does the order in which we apply the graph transformations matter This phenomenon is sometimes called the Socks then shoes vs Shoes then socks problem

Apply transformations in the column below that correspond to your chosen function to get new functions Use the button in the upper left corner of the page to add a new line for each of the transformations below Your subsequent graphs will be displayed in different colors Graph Transformations f x x2 The vertical stretch by 9 The vertical shrink by 9 The horizontal stretch by 3 The horizontal shrink by 3 Now consider the reflection question below You are not required to answer the question but pause to think about

Nine square tiles are laid out on a table so that they make a solid pattern Each tile must touch at least one other tile along an entire edge The squares all have sides of length 1 a What are the possible perimeters of the figures that can be formed The perimeter is the distance around the figure b Which figure has the least perimeter These figures have perimeters of 18 units and 16 units respectively a What are all the possible perimeters of the figures that can be formed The perimeter is the distance around the figure Use the Show Work learning aid to provide related calculations and additional reasoning to support your answer Use a comma to separate answers as needed b Which figure has the least perimeter A a 3 by 3 square B a pyramid with a base of 5 tiles a middle row of 3 tiles and a top row of 1 tile OC a 1 by 9 rectangle OD a figure with a base row of 4 tiles a middle row of 4 tiles and a top row of 1 tile

Determine what additional information is required in order to know that the triangles are congruent by ASA Postulate V G O ZV 21 O VH GI O ZIGH ZVHG O VG HI H I

Write an equation a in slope intercept form and b in standard form for the line passing through 1 7 and perpendicular to 3x 7y 1 a The equation of the line in slope intercept form is Type your answer in slope intercept form Use integers or fractions for any numbers in the equation

Find the measure of the arc C C 146 E B mDE A

A WXY is a right triangle W 34 17 A True B False X 17

Prepare a hand drawn plot of the two variables using the grid sheet in the lab manual or other graph paper a Include a title axis labels with units and a trendline 1pts b Estimate the circumference in centimeters of a circle with a diameter of 3 80 cm Circumference cm 1 pts c Estimate the diameter in centimeters of a circle with a circumference of 4 02 in Diameter cm

The point in the graph below represents 4 2 To O 11 2

Select the statements that are true Select one or more O a There are infinitely many ways to represent a point in rectangular coordinates O b There are infinitely many ways to represent a point in polar coordinates OC In polar coordinates y is a function of x Od All polar equations are functions

When graphing the polar equation r 4 sin 60 as approaches from 0 the radius changes from to

Given 2 what is the y coordinate of the corresponding rectangular coordinate

When graphing r 9 sin 30 use mulitples sin 30 0 on the interval as the key points of interest

Given the rectangular equation 3x2 2y 18 Choose the correct first step s in converting this to polar form Select one or more Oa None of these O b O c O d 3rcos 2rsing 81 3 3 rcos 2 2rsin 9

When graphing the polar equation r 6 sin 60 as moves from O to radius changes from 0 to

Which of the following is NOT a true statement Select one O a In the polar coordinate r r is the distance from the origin O b A polar coordinate can be converted to a rectangular coordinate using r and sine and cosine OC A polar coordinate is represented by r Where r is the distance from the origin and is the angle measured the x axis moving counterclockwise Od In the Polar coordinate r is the angle measured from the x axis moving counterclockwise

The point F in the graph has the coordinates S

Given the points below if A is r then the polar opposite would be Select one or more O a 0 r O b x y O C r

The point in the graph below represents 2

1 Tie 2 Graph the function h x 2x 1 6 3 Co 6 4

EDis a secant BCis tangent to circle A at point B E A b B D a C If b 45 and c 4 then a C units