Geometry Questions

20 A cross section of which of the following would show dark edges and brighter center when viewed in transmission mode with a MSP A B C D pr Round Carugo 10h 11 Flat Trilobal 8 en quant

3 For Andrew s graph write a next to the 1st and 2nd transformations in the sequence of transformations represented by his graph Not all choices will be used a Dilation by a scale factor of b Rotation 90 clockwise c Translation 6 units up d Dilation by a scale factor of 4 e Translation 6 units left 5 Ricardo will transform a triangle contained in quadrant II by reflecting over the x axis and dilating by a scale factor of 0 5 Which is not a true statement A The image will be in quadrant III B The orientation of the vertices will change C The orientation of the figure will change The image will be congruent to the

20 tan 22 tan tane 90 Y 24 tan 0 X 0 270 90 undifined Ne saution 30 21 sin 0 23 cos 25 tan 780 780 360 510 2 Que V 120 costo x 1 360V 60 X 810 3 81c 8 10 TO 366 958 860 40 und

14 140 Le 18 tan Find the exact value of each trigonometric function Create a right triangle lable all angles and find the sides of that triangle using sin cos tan cost 16 cos 17 cos 0 2 600 150 15 2 Fan 150 2 2 10 100 19 cos 450 870 450 360 40 cas

Line segment m has a length of 5 What is its length after each dilation Type the correct answer in each box Use numerals instead of words Round any decimal answers to the nearest hundredt For help see this worked example scale factor of 2 centered at the origin scale factor of 10 centered at the origin scale factor of 0 25 centered at the origin h

3 Student response use the graph to respond to each question Justify y 21 3x 1 y x 3x 1 X X a Identify the functions as a or b 5 10 J b From the graph determine the solution set explain c Solve the system of equations algebraically 10

X W 35 Z 4x 7

Measure and record the slopes of these line segments in the original logo Then set n 0 5 and n 2 and record the slopes of the corresponding line segments in each resulting image BIUX X 14pt E V AVA Line Segment Original Slope Slope After Dilation n 0 5 LK GB AH n 2 Space used includes formatting 1008 15000

Example 1 Consider the graph G given in Fig 1 15 2 1 2 Subgraph H 3 4 Spanning Subgraph 1 Subgraph of G Fig 1 19 5 5 G Fig 1 16 3 Fig 1 15 2 4 b b 3 3 Fig 1 17 Fig 1 18 Example 2 Consider the Peterson graph G given in Fig 1 4 5 Co a a Ve 13 Subgraph H 3d d 4 Induced subgraph of G Fig 1 20 e 5 5 Induced Subgraph Fig 1 4 5 Fig 1 21 Spanning Subgraph of EXI be e 3

Street C is perpendicular to Street A and passes through 4 6 Write this street s equation in standard form

Measure and record the lengths of these line segments in the original logo Then set n 0 5 and n 2 and record the lengths of the corresponding line segments in each resulting image BIY X X 14pt E Line Segment 13 1814 LK GB AH Original Length Space used includes formatting 954 15000 6 38 Length After Dilation n 0 5 n 2

The expression simplifies to an u 1 cos u 1 cos u X sin u cos u cos 2

In general how do the slopes of line segments in the image compare with the slopes of corresponding line segments in the preimage What effect does the scale factor of the dilation have on the slopes if any BIVX X 15px E

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Question Describe a sequence of transformations that takes Figure Q to Figure P 4 3 Q 2 1 2 1 0 1 1 2 3 P 4 5 6 Describe a sequence of transformations that takes Figure Q to Figure P Skip Question Scratch Paper Optional To Use Functions 7 Previous Question 4 8 5 S 2 AC 9 6 X F

The graph below shows the height of a burning candle over time Height of candle cm 10 Time Hours Question After how many hours will the height of the candle be zero otion road aloud After how many hours will the height of the candle be zero Explain how you figured out when the height of the candle will be zero Skip Question Scratch Paper Optional To Use Previous Question Functions 7 8 4 51 AC 9 6 x 1

A dilation with center P and scale factor 2 is applied to triangle ABC A 45 3 B Question What is the length of the image of segment AC under this dilation What is the length of the image of segment AC under this dilation Skip Question Scratch Paper Optional To Use I Functions 7 4 1 Previous Question 0 8 5 2 AC 9 6 3 11 X

Ava is 60 inches tall Jeremy is 25 taller than Ava This Question How tall is Jeremy How tall is Jeremy Skip Question Scratch Paper Optional To Use Functions 7 4 1 Previous Qu 0 8 5 2 AC 9 6 3

Ruben knows triangle ABC and triangle DEC are similar B 43 C E uestion What is the measure of angle DCE What is the measure of angle DCE Skip Question Scratch Paper Optional To Use Functions 7 4 Previous Questi 1 8 AC 5 6 2 3

Figure ABCD is a square 2 B Question What is the area of ABCD here if you would like to hear this question read aloud What is the area of ABCD Skip Question Scratch Paper Optional To Use Functions 7 4 1 Previous Question 0 8 5 2 AC 9 6 3 11 X 1

A scale drawing of a rectangular park is 8 inches long and 5 inches wide The rectangular park is 320 feet long in real life 8 inches inches Scale drawing 320 feet Real life park Question What is the area of the rectangular park in real life What is the area of the rectangular park in real life What are the units of your answer I Skip Question Scratch Paper Optional To Use Functions 7 Previous Question 1 8 LO 2 AC 9 6 3 X I

The square ABCD is reflected over the y axis then translated one unit to the left to make the square A B C D 5 4 A D B C 1 3 0 1 2 3 4 6 1 2 3 4 Question If the original coordinate pair for point A is 4 1 what is the coordinate pair of A If the original coordinate pair for point A is 4 1 what is the coordinate pair of A Skip Question Scratch Paper Optional To Use I Functions 7 4 1 Previous Question 0 8 5 2 AC 9 6 3 X

A pizza restaurant sells a small square pizza 5 inch side length for 4 The pizza restaurant also sells a large square pizza with a 12 inch side length 5 inches 5 inches 12 inches 12 inches Question What should the cost of a large square pizza 12 inch side be so that both pizzas cost the same amount per square inch Click here if you would like to hear this question read aloud What should the cost of a large square pizza 12 inch side be so that both pizzas cost the same amount per square inch Skip Question Scratch Paper Optional To Use Functions 7 1 Previous Question 0 8 5 2 AC 9 x 6 3

Data was collected on housing prices in a local neighborhood Point A represents a mansion that a movie star lives in Frequency 0 1 x 125000 X XX XX XXX x X xx XXXX XX XXXXXXXXXXXXX XXXXXXX XXXXXXXX 250000 375000 500000 Home Price 625000 Click here if you would like to hear this question read aloud Point A 750000 X 875000 Question If point A is removed from the data set what would happen to the mean If point A is removed from the data set what happens to the mean of the data set Increase Skip Question Scratch Paper Optional To Use Decrease Functions 7 4 1 0 Previous Question 8 5 Stay the same 2 AC 9 6 3 X

A bouncy ball will bounce 80 of the height it falls If a bouncy ball is dropped from 20 feet the first bounce will be 16 feet high The second bounce will be 12 8 feet high Question What will be the height of the third bounce What is the height in feet of the 3rd bounce of the supe ball Skip Question Scratch Paper Optional To Use Functions 7 4 1 Previous Question 0 8 5 2 AC 9 6 3 11 x

The sun creates shadows for Julian and a nearby tree Julian is 5 feet tall and his shadow is 4 feet long At the same time a tree has a shadow that is 10 feet long A 4 ft 5 ft 10 ft Question What is the height of the tree Click here if you would like to hear this question read aloud What is the height of the tree Skip Question Scratch Paper Optional To Use Functions 7 4 1 Previous Question 0 8 5 2 AC 9 6 3 X

Question Write an equation that represents the graph of the linear function below Click here if you would like to hear this question read aloud Write an equation that represents the graph of the linear function below Skip Question Scratch Paper Optional To Use Functions 7 4 1 0 8 5 2 AC 9 6 3 X

Question What number goes in the blank to make this number sentence true 27 15 30 Click here if you would like to hear this question read aloud sentence true Skip Question Scratch Paper Optional To Use I Functions 7 4 1 Previous Question 0 8 01 5 2 AC 9 6 3 x T

Question Solve the equation below for x 1 6 7x 1 5 2 Skip Question Scratch Paper Optional To Use Functions 7 4 Previous 1 8 LO 5 2

Solve for the value of b 6b 7 7h 8

Solve for the value of a 50 8a

Solve for the value of n 37

Solve for the value of v 50 v 7

A sandbox is being built in a park The diagram shows the four vertices of the sandbox Each unit in the coordinate plane represents 2 fee Find the area of the sandbox 20 16 12 8 4 5 12 4 8 14 12 14 8 12 16

Solve for the value of q 59 5 49 5

6 ft 14 ft 14 ft 14

Find the total surface area of the composite figure 7 4 ft 14 ft 8 ft 12 ft 8 ft

7 660 9 260 Find the reference angle create a triangle and find all angles of the triangle 10 11 12 215 8 105 100 13 340 690

Graph the system of inequalities y x 9 y x 3 Use the graphing tool to graph the system Click to enlarge graph 10 8 6 2 70 v 8 6 4 2 2 64 8 10

Problem 3 A aluminum cylindrical can is being designed to hold a volume of 100 cubic centimeters a Find a formula for the volume of the can in terms of the radius and height of the can b Write a formula for a functions S that models the surface area for the can in terms of the radius only c Suppose the radius is 2 cm evaluate the surface area of the aluminum can Interpret your result d Find the dimensions radius and height that result in the least amount of aluminum used to construct the can to hold a volume of 100 cubic centimeters

Concentration mg ml Tollowing chart Protein Charts A595 y 1 8812x 0 1309 R 0 9758 Protein Charts Linear Protein Charts 26 Is this standard curve appropriate to use Why or why not

Complete the square to find the vertex of the parabola y 5x2 4x 4 Enter your answer as a point h k including parentheses The vertex is at the point

Consider the function y 2 arcsin x a Use a graphing utility to complete the table Round your answers to four decimal places 1 0 8 0 6 0 4 X Y X Y 0 0 2 0 4 0 6 b Plot the points from the table in part a and graph the function Do not use a graphing utility 2 0 2 0 8 1

The tallest television transmitting tower in the world is in North Dakota and it is 2059 feet tall If you are on level ground exactly 5280 feet one mile from the base of the tower what is your angle of elevation looking up at the top of the tower Give your answer in degrees Oa 68 7 Ob 23 0 Od 68 1 Od 21 3

Solve the right triangle shown in the figure A B C a b C 56 10 B h

The sonar of a navy cruiser detects a submarine that is r 3600 feet from the cruiser The angle between the water level and the submarine is 0 29 5 How deep is the submarine ft

The point is on the terminal side of an angle in standard position Determine the exact values of the six trigonometric functions of the angle 20 21 sin 0 cos 0 tan 0 csc 0 sec 0 cot 0 SE

What are the dimensions of the conference room in this floor plan Office Building Floor Plan Conference Room 12x12 12x5 12x12 12 36 12x8 12x12 12x12 12x12 48

Purpose to help you create visual study aids to help you and your classmates develop study methods and compare the concepts in the Unit 7 Objectives For example EE 3 create a concept map double bubble map Venn diagram or compare contrast table draw 2 or more pathways in a way that helps you see similarities and differences make 2 or more drawings or models to show how parts of blood are similar and different Do not post or recreate a picture or resource you found on the internet the optional course materials or another source This will result in zero points

28 29 30 Write a definition for a linear pair of angles Write a definition for a diameter of a circle Locate point C below so that A ABC is an isosceles right triangle AB dal B Swalen 101 8164 8 co Gy EN 4 6 6810