Coordinate system Questions and Answers

Polygon ABCD reflects about line MN to make polygon EFGH What is the length of FG D 2 2 C 3 2 2 M A 3 B LL F G N E

Identify the similar triangles and justify the reasoning A 80 319 B D 31 E 69 F C OA AABC AFED by AA OB AABC A FED by SSS C AABC A FED by SAS OD AABC A FED by AAS

12 Determine whether the 2 shape are similar A 14 D 10 10 B 14 21 Q 15 15 21 OA No the side lengths are not all the same OB No the sides are not proportional OC Yes all sides are proportional and angles are congrue

The graph shows quadrilateral LMNO 104 N O M 92865 S 8 7 Yes LM is parallel to NO 6 5 4 3 2 L 10 9 8 7 6 5 4 3 2 1 1 1 2 3 4 5 6 7 8 9 10 1 2 23456789 3 4 5 6 7 8 9 10 Is LMNO a right trapezoid Justify your answer Yes NO and LM are parallel to each other and perpendicular to LO No none of the sides are parallel X the sides are perpendicular

The graph shows quadrilateral WXYZ 104 9 W X 287 7 6 Yes all sides are congruent 5 4 32 3 10 9 8 7 6 5 4 3 2 1 1 2 1 23456789 3 4 5 7 8 9 10 N Is WXYZ a rhombus Justify your answer No WX and WZ are not congruent No WX and YZ are not congruent No WX and YZ are not parallel Y 1 2 3 4 5 6 7 8 9 10 X

The graph shows quadrilateral PQRS and its diagonals 104 9 8 7 654321 2 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 P 1 2 3 4 5 6 7 8 9 10 R Is PQRS a parallelogram Justify your answer Yes diagonals PR and QS are congruent No PS and QR are not congruent Yes PQ is congruent to RS and QR is congruent to PS No diagonals PR and QS are not congruent S

Identify the point on the unit circle that corresponds with an angle of 30 A 3 3 B 1 1 3 1 2 D 1 Sn

1 How many lines of symmetry does the figure below have OA 10 OB 3 OC 2 OD 5

All of the following transformations produce a congruent image except OA Rotation OB Reflection

Find the distance between the points 4 9 and 1 5 Write your answer as a whole number or a fully simplified radical expression Do not round units

4 The dotted triangle is a dilation image of the solid triangle What is the scale factor SA 101 10 OA 1 B 3 C C C 1 2 10 X

AABC has coordinates of A 5 4 B 7 3 and C 2 2 Find the coordinates of its image after a dilation centered at the origin with a scale factor of 2 OA A 5 4 B 7 3 C 2 2 OB A 10 8 B 14 6 C 4 4 OC A 2 5 2 B 3 5 1 5 C 1 1 OD A 10 4 B 14 3 C 4 2

The dilation is a an O A isometry OB reduction OC enlargement D translation if the scale factor is less than one

K McCall Enterprises manufactures one of the components used to assemble its main product Specialty Products Inc has offered to make the component at a cost of McCall Enterprises current cost is 17 00 per unit of the component based on the components that McCall Enterprises currently produces Read the requirements Requirement 1 If McCall Enterprises outsources the manufacturing of the compon sign or parentheses in the Difference column when the cost to make exceeds the co Incremental Analysis Outsourcing Decision Variable costs Plus Fixed costs Make Component Outsource Component 0

Use the figure to help you answer the question 2 E Select one O a H O b G O c F O d E H Which figure represents 9X2 4Y 36

ven 2 X 1 2 3 Y 1 2 52 the coordinates of the center are elect one a 3 2 b 1 1 Oc 2 3 O d 1 1

What are the coordinates of the center of X 2 Y 3 49 Select one O a 2 3 O b 0 0 O C 2 3 d 5 7

Find the value cose given that c 10 and a 6 OA OB oc OD C 0 a w w A b

Find the length of the hypotenuse of a right triangle with legs of 18 cm and 24 cm QA OB OC OD 900 cm 42 cm 16 cm 30 cm

Write a slope intercept equation fo Choose the correct 4 0 y 0 9x 4 6 equations

1 Find the length of the missing side The triangle is not drawn to scale OA OB OC 28 OD 10 48 100

in the diagram below of AACT BEAT f CB 3 CA 10 and CE 6 what is the length of ET 14 OA OB 26 OC OD 5 20

If three parallel lines intersect two transversals then the segments intercepted on the transversals are OA OB OC OD congruent proportional cut in half bisected

Which equation of a circle will have a graph that lies entirely in the first quadrant x 4 y 5 x 5 y 4 25 O x 4 y 5 9 O x 4 y 5 9 25

1 The length of the altitude to the hypotenuse of a right triangle is the A B C on product average sum geometric mean of the lengths of the segments of the hypotenuse

When three or more ratios are equal you can write a an OA proportion OB cross product OC ratio OD extended proportion

The vertices of the trapezoid are the origin along with A 4m 4n B 4q 4n and C 4p 0 Find the midpoint of segment AD 0 0 OA B C D B C 2q 2n m q p 2n m q n 2m 2n

Complete the process of solving the equation Fill in the missing term on each line Simplify any fractions 9t 3 3t 15 3 15 6t t Subtract 3t from both sides Subtract 3 from both sides Divide both sides by 6

Find two other pairs of polar coordinates of the given polar coordinate one with r 0 and one with r 0 a 6 4 b 3 3

3 Select the correct answer from each drop down menu The volume of a sphere whose diameter is 18 centimeters is 972 cubic centimeters If its diameter were reduced by half its volume would be 1 2 of its original volume Reset Next

Find a function of the form y A sin kx or y A cos kx whose graph matches the functio below 3 9 3K 7 67 57 47 37 27 1 1 3 4 2x bog 3n 4x Sx Leave your answer in exact form if necessary type pi for 3 4 sin x y 13 X 77 8x

9 Write an equation of a line that passes through the point 5 2 and is parallel to the line whose equation is 4x 3y 7

If the origin is shificd to thepoint 3 8 axes remaining parallel 4 4 bies on the new x axis and p 5 lies on themew Y itis then the values of p and q are

Here are the shopping times in minutes for each of sixteen shoppers at a local grocery store Shopping times in minutes 18 22 33 31 27 33 29 30 20 28 Shopping times in minutes 16 to 19 20 to 23 a Complete the grouped frequency distribution for b Construct a histogram for the data the data Note that the class width is 4 24 to 27 28 to 31 19 34 35 32 to 35 24 16 Frequency 31 1 1 0 Frequency 6 5 4 3 2 1 0 16 to 19 20 to 23 24 to 27 28 to 31 Shopping times in minutes 32 to 35

ind a to the nearest tenth he length of a is approximately Round the final answer to the nearest tenth as needed Round all intermediate values to the nearest tenth as needed CD 28 36 8

Y cot 2 3 3 Drag the movable black point to set the left vertical asymptote and shift the function the red point to set the right vertical asymptote thereby setting the period of the function and the blue point at the correct set of coordinates You may click ora a point to verify its coordinates Note that the two asymptotes can be moved independently of each other and that only one period of the function is shown Provide your answer below

Convert each of the following rectangular coordinates into the equivalent polar coordinates using r 0 and 0 0 2 If necessary you may use the inverse trig functions in your answers but you are expected to simplify if possible Rectangular Coordinate 6 1 3 5 4 6 1 2 T 00 0 2T

27 Another set of answers is a 19 28 160 32 b 19 28 340 32 c 160 32 199 28 Id 199 28 340 32

11 Directed line segment PT has endpoints whose coordinates are P 2 1 and T 4 7 Determine the coordinates of point J that divides the segment into PJ JT having the ratio 2 1 The use of the set of axes below is optional Jis between Pand 3 PJ JT so after graphin by the line of symetry IS

e graph of the function f x is shown below Draw the graph of g by reflecting the graph of f out the x axis and then shift up 4 and left 1 Lastly write the formula for the function g x below 7 6 5 4 3 2 1 6 5 43 2 1 Hand 4 2 3 A 5 1 2 6 7 Clear All Draw n 3 4 5 6 X Write the formula for g x below Be sure to use proper function notation

Find the parametric equations for part of an ellipse in the plane z 4 centered at 0 0 4 from 3 0 4 to 3 0 4 passing 0 5 4

For each diagram indicate a pair of congruent inscribed angles 1 2 4 D B C D B 3 E B D C

multiplicity of each zero Leave any remaining answer boxes empty 9 8 AFT Zeros 6 5 Mult on shown below to rentry are zeros of the function and the 3 2 1 10 9 7 6 S 87 V 85 2 TH Z 2 3 4 5 6 7 9 10 12 13 14 15 2 3

Consider the points A 2 4 B 1 1 C 3 3 P 2 2 Q 4 1 and R 4 2 in the Euclidean plane Find the center and and the axis of perspectivity of AABC and APQR Sho the point center of perspectivity and the line axis of perpectivity in your drawing

Points Reflected over an Axis Mar 16 10 31 36 PM Point A is located at 5 1 on the coordinate plane Point A is reflected over the x axis to create point A Point A is then reflected over the y axis to create point A What ordered pair describes the location of A

P 3 Determine if the following series converges or diverges If it converges then find its sum where 0 1 2 2 1 sin z n 1

pt 2 A volume is described as follows 1 the base is the region bounded by y x 6x 69 and y x 22x 135 I 2 every cross section perpendicular to the x axis is a semi circle Find the volume of this object volume

6 Graph the dilated image of Quadrilateral ABCD using a scale factor of 3 MESE 8644 3 61810

Triangle ABC and Triangle ADE are graphed on the set of axes B A D C E X Determine the scale factor that maps AABC to AADE with a dilation centered at point A

Name of polygon Square Area formula bh P A hint does the diagonal create a special right triangle 12 in