2D Geometry Questions and Answers

Do the orthographic views represent the object Does the isometric view represent the object Assume there are no hidden cubes belo P Top Side Front Ono yes Ono no O yes no O yes yes L

etermine whether each view represents the object Assume there are no hidden cubes L Front Ono yes O yes yes O no no Top 163 Side

GEOMETRY Identifying su Give one pair of supp

2 The graph of a quadratic function passes through the origin and has a vertex at 2 8 Using symmetry what other point MUST also be on this parabola Type a response

The graph of a quadratic function passes through 1 7 and has a vertex at 4 16 Find the equation of the parabola Write it in vertex form y a x h k Type a response

Graph the linear function by finding x and y intercepts Then write the equation using function notation 2x 6y 6 Use the graphing tool to graph the equation Use the intercepts when drawing the line if only one intercept exists use it and another point to draw the line EXCURS

11 A bowtie plate is designed to have this middle distance equal 3 in At what height should the original triangle by truncated 6 in 4 in

atch the graphs with the functions y x 4y 4 x y x 4 y x 6 y x 6y x 4 y 6x y x 6y 6x Drag the function given above into the appropriate area below to match the A

3 Bruce and Alfred are planning to re floor parts of the second floor of their house floor plan attached They plan to put tile in both bathrooms and hardwood floors in the hall The tile costs 2 per ft and the hardwood costs 3 per ft They also plan to put crown molding that costs 2 50 per ft along the tops of the walls in Bedroom 3 materials Find the total cost of the flooring Find the cost of the crown molding 10 Bathroom 1 Bedroom 2 Bedroom 1 12 Hall 8 3 3 Stairs Bathroom 2 10 Bedroom 3

Sketch the graph of the following circle x 5 y 4 64 a Find the center of the circle b Find the radius of the circle c Graph the circle a Find the center of the circle Type an ordered pair b Find the radius of the circle Type an integer or a decimal c Graph the circle Use the graphing tool to graph the circle Click to enlarge

2 Find the area of the following shaded region 13 22

Math 150 CW 5 Areas and Clearly and neatly show all work for each problem For all calculations involving T you can use the estimation of 3 14 Where needed round all final answers to one decimal place 1 Find the area of the following shaded region 20 10

Identify the area of the trapezoid 32 cm 22x cm O A 1200x cm O A 1431x cm O A 935x cm O A 1870x cm 53 cm

10 00 2 30 0 30 60 90 120 a What are the maximum b What is the amplitude Answer the following questions about the cosine graph above c What is the period M d What is the range of the function e What is the phase shift f What is the Vertical shift 240 270 300 330 360 390 420 450 480 150 180 210 240 values and minimum

the volume of traffic for a collection of intersections is shown in the figure below A graphing calculator is reccomended use 31 as your parameter if needed 95 A 50 X 20 25 B 80 X1 X3 30 X4 110 C D 60 Find all possible values for X1 X2 X3 and x4 Use 5 as your parameter X1 X2 X3 X4 1

The graph of an equation is shown on the right a Find the intercepts b Indicate whether the graph is symmetric with respect to the x axis the y axis or the origin a Find the x intercept s Select the correct choice below and if necessary fill in the answer box to complete your choice OA The x intercept s is are Type a whole number Use a comma to separate answers as needed OB The graph touches the x axis on the interval Type your answer in interval notation C The graph has no x intercepts

O about 28 1 cm O about 38 7 cm about 21 8 cm2 O about 52 8 cm ghd has squares with side lengths of 1 cm

Use the spinner to identify the probability to the nearest hundredth of the pointer landing on a ne area 76 48 O 0 52 O 0 66 0 34 0 48 172

identify the area of the trapezoid 13 cm 21 cm 25 cm O299 cm 325 cm 399 cm O 425 cm

Quiz 1 1 Determine which postulate can be used to prove that the triangles are congruent Write SSS or SS If it is not possible to prove congruence write not possible b a SAS Determine whether A4ABC AKLM Explain 2 4 3 3 K 1 4 AB BC AC 4 A 1 3 C 3 1 3 4 M 1 6 10 4 Given PRDE PT DE LR LE LT LF Prove APRT ADEF KL LM KM V 4 8 SAS un possible 3 4 4 2 B 4 1 C 1 1 K 0 2 L 0 1 M 4 1 5 4 3 2 AB BC AC SSS P T 2 4 1 0 2 D 1 2 3 KL LM KM at 4

5 Given AB CB D is the midpoint of AC Prove AABD ACBD Statements 6 Given V is the midpoint of YZ and WX Prove LW LX Statements DATE A Reasons W PERIOD Reasons X Z

a An angle measures 27 What is the measure of its complement b An angle measures 65 What is the measure of its supplement

How can you use transform function y 3 7 x 2 Explain your steps

Line 1 goes through 5 10 and 8 0 Line 2 goes through 10 10 and 20 7

Use the vertex and intercept the axis of symme f x x 2 2x parabola s 8

Finding an angle mea Find the value of x

Standard Deduction 6 90 700 Tax Table 8 701 439 475 39 475 524 200 124 201 4160 275 Above 160 275 12 200 00 Income Tax Rate 10 A 12 200 B 9 700 C 970 24 22 37 D 4 000 For an individual with 40 000 in taxable income how much money will that individual pay in the 10 tax bracket

Question 12 OERIMETER The perimeter of this triangular plot of land can be represented by 3x 2 10x 20 Enter a polynomial that represents the measure of the third side of the plot of land

raphically and state the coordinates of all points y x 2 4x 5 y x 5 You can move the parabola by dragging the dots

3 Find the equation of the line that passes through the following two points then graph 3 1 and 9 5

C Intercepted Arc Central Angle Inscribed Angle B

Figure C 5 Use Figure C to answer the following inquiries 6a 2pts What is the name of the Minor Arc 6b 2pts What is the name of the Major Arc 6c 2pts What is the measure of the Minor Arc 5d 2pts What is the measure of the Major Arc Se 2pts What is the m AOB 2nts What is the m4ACB

X R Find the measure of x 60 X 93 87 V 14x Figure D T

SA492 zelenta Chibenters 0 bano B A Figure A 4 2pts If Arc BC 58 what is the m4BAC C

R o 85 Q Figure B 5 Use Figure B to answer the following inquiries 5a 2pts What is the name of the Minor Arc 5b 2pts What is the name of the Major Arc 5c 2pts What is the measure of the Minor Arc 5d 2pts What is the measure of the Major Arc girlsho 191 Brit Anir way

Find the length of h Type your answer as a number only Example 10 not h 10 8

Find the values of the variables in the triangle shown Write all answers in simplified radical form A D X y Z X Z 10 C 2 B

The graph of y f x is shown below 5 4 3 2 5 3 7 2 H 2 3 4 1 2 3 4 5 Draw the graph of g x f 2x 6 2 below After finishing the graph click outside the grid to s

GEOMETRY Word problem involving the Pytha is flying 16 ft off the ground Its I

Identify all possible proper subset relationships that occur among the following sets A x x 5n 2 NEN B x1x 10n 2 NEN C x1x 20n 2 nEN Select all of the proper subsets given the relationships above A BCC B ACC C CCA D CCB E ACB F BCA

GEOMETRY Word problem involvin 2 ft ladder leans against t necessary round your ans

12 Transform the function f x sinx into f x 3 sin x 30 1 for one period Use the 5 critical points

Find the length of the third side If necessary write in simplest radical form 9 10

Classify each figure as a line ray or line segment Then show how to write it a b c F Figure A D B E Type line ray O line segment line ray O line segment O line O ray Oline segment How to write it 7 7 GREETE 0 8 X 10

A picture is in the shape of a rectangle It is 9 inches long and 8 inches wide What is its perimeter inches X

Identify the angle of depression 4 02 03 04 01 1 2 3

In the figure below mz3 34 Find m 1 m 2 and m 4 4 X 1 3 2 m 1 m2 2 m 24 O 0 O X Espa ol

In the figure below mz1 62 Find m 2 m2 1 62 Find m2 mz3 and mz4 1 3 2 m 2 O 3 O m2 3 m 4 O X Espa ol

15 Describe the similarity transformation that maps the preimage to the image

14 Reflect the triangle with vertices D 4 1 E 2 3 and F 1 1 over y x 2