Coordinate system Questions and Answers

1 In the diagram ACAT ADOG Find the value of c T x 18 24 C 15 A 10 D 16 8 G

Three vertices of a parallelogram are shown in the figure below Give the coordinates of the fourth vertex 4 2 0 9 3 5

12 cm 7cm 1 J VOLUME SURFACE AREA 12 5 cm 7 cm 224

b 9 1 y y 9 y 20 dy dt x Construct the phase plot If the phase plot does not exist select the graph of y dy dt dy dt y y dy dt y y

Use the graph of the function to estimate the intervals on which the function is increasing or decreasing Enter your answers using interval notation increasing decreasing 5 2 3 4 5 6

Find the length of DF or state what additional information you would need to find it 3 15 56 E D 39 56 6 85 24 20

Select the correct answer The probability that a new car of a particular make will have a problem with the fuel line is given in the table Problem with Fuel Line Car Make A B C D E Total 0 0078 0 0084 0 0081 0 0110 0 0087 0 0080 What is the chance that a given car has a problem with the fuel line if it is make D OA OB O C D 0 0078 0 0110 0 0080 insufficient data

21 Select the correct answer from the drop down menu Capsule A Capsule B Capsule C Capsule D Total Heavy Metal Contamination 0 04 0 06 0 05 0 05 0 05 Microbial Contamination from E coli 0 15 0 22 0 24 0 18 0 17 Microbial Contamination from Staphylococcus 0 28 0 31 0 24 0 34 0 27 the same as R greater than less than i Microbial Contamination from Pseudomonas 0 33 ext 0 21 0 23 0 22 0 24 the probability of capsule D having it Microbial Contamination from Salmonella 0 31 0 29 0 30 The probabilities of contamination in medicine capsules due to the presence of heavy metals and different types of microbes are given in the table The probability of capsule B having microbial contamination is 0 27 0 28

Given that A equations for X 35 8 6 18 4 3 13 3 2 X 1 35x 8y 18x 4y 13x 3y 6z 3z 2z and A 3 3 7 1 2 2 8 1 0 3 solve the following system of

The equation of circle A is x y Cx Dy E 0 If the circle is moved horizontally to the left o the coefficients Cand Daffected 16 A s reserved 14 10 B S 0 02 6 8 10 A Cand Dare unchanged OB Cbecomes positive and D is unchanged OC Cbecomes negative and D is unchanged OD Cbecomes negative and D becomes positive

Point O is the center of this circle C A 55 B 48 OC 45 D 35 96 B A

A cylindrical container is packaged inside a prism shaped box The box has a volume of 96 cubic units if the container has a diameter of 4 unit and a height of 6 units what is the volume of the empty space between the cylinder and the box Round the answer to two decimal places OA 20 60 cubic units OB 37 77 cubic units OC 51 27 cubic units OD 75 40 cubic units

Type the correct answer in each box Consider circle O where mBD m BPD mBC MAD 70 and mCA C 170 170 Reset O B P A Next 70 D

What is the difference of the lengths of Dand CE Use the value 3 14 and round the answer to two decimal places OA 1 25 units B 1 57 units OC 2 56 units E B 45 BC 2 units A AB 6 units B C

ram BCDE is shown below Give the coordinates of D E 0 p B 9 0 D c r 0 D D

rectangle with vertices A 4 8 B 16 8 C 16 20 and D 4 20 is dilated about the origin as the center Find the vertices of the image if the scale factor is 4 O A 1 2 B 4 8 C 4 5 and D 1 5 O A 1 2 B 4 2 C 4 5 and D 1 5 O A 1 2 B 4 2 C 4 5 and D 4 10 O A 2 2 B 4 2 C 4 5 and D 1 5 C 12

If the corresponding sides are in proportion in two figures then the two figures are O congruent figures Osimilar figures O solid figures O plane figures

Question 8 Identify the transformation that carries the regular polygon onto itself rotation of 60 clockwise O rotation of 72 clockwise O rotation of 36 clockwise O None of the above

GradeResults My Activities Tell me what you The quadrilateral is rotated about 180 degrees Identify the rotated image A B D 4 C B 2 6 4 2 0 2 4 D Y 4 2 2 B 6 4 2 0 4 Y Y 6

Question 14 Points 2 Line segment AB is translated 3 units up and 2 units right Identify the coordinates of the end points of the translated figure 7 6 5 4 3 2 1 0 A 6 0 and B 8 0 A 6 2 and B 8 1 O A 6 1 and B 8 0 y O A 6 0 and B 8 1 5 4 No wo 3 2 1 1 2 3 4 5 A F1 2 3 4 5 X 6 7 8 B

5 21 GradeResults B My Activities Tell me what you want to do Q Line segment AB is translated 3 units up and 2 units right Identify the coordinates of the end points of the translated figure 8 7 6 5 4 3 2 1 0 O A 6 0 and B 8 0 O A 6 2 and B 8 1 y O A 6 1 and B 8 0 4 3 2 2 1 1 2 3 4 1 X 2 3 4 5 6 7 8 A B 00

Question 13 The point in the grid is rotated about an origin through 180 in clockwise direction Identify the new coordinates of A 5 0 Points 2 Y O A 5 6 OA 5 6 O A 5 6 A 50 X

Question A square is reflected over a horizontal line and then moved to the right under a translation What type of transformation is performed O Reflection O Translation Rotation O Glide Reflection

5 21 PM Thu May 25 7 GradeResults If the triangle is reflected across the y axis what will be the vertices of the image triangle 2 2 0 2 A 2 2 2 My Activities B 4 4 C 5 1 x 4 A 2 2 B 4 4 and C 5 1 O A 2 2 B 4 4 and C 5 1 O A 2 2 B 4 4 and C 5 1 Ims graderesults com A 2 2 B 4 4 and C 5 1 Tell me what you want to do Q

Question 6 Find the coordinates of the point D 6 3 after the transformation x y x 3 y 2 O 9 5 O 9 5 9 5 Points 1 O 9 5

Question 7 How many degrees would an equilateral triangle need to carry it onto itself O 45 O 120 60 Points 3 O 90

Question 1 Points 1 A part of a line that consists of two distinctive endpoints and all points between them is called a line segment O line O parallel lines O perpendicular lines

Calculate the mode from the numbers below 3 20 54 4 66 28 55 3 10 21 4 67 28 38 49 4 12 41 The mode is

Given the function x 4y 12y 9 Vertex 1 5 directrix y Opon 11

Find the first 3 terms in the expansion of 1 3x 5 Select one a 1 15x 90x O b 1 15x 90x c 1 15x 90x O d 1 15x 90x

hree vertices of a parallelogram are shown in the figure below Give the coordinates of the fourth vertex 5 2 3 8 5 10 OD

For the rhombus below find the measures of 21 22 23 and Z4 2 32 3 1 4 m2 1 m 22 m 23 m 24 0 UU 0 0

Find the recursive definition of this sequence 4 9 14 19 an 3an 1 a 5 B an an 1 9 a 4 C an an 1 5 a 4

Consider quadrilateral WXYZ below W Z X 4567 8 9 Y Note that WXYZ has vertices W 4 2 X 1 3 Y 4 4 and Z 1 5 Complete the following to determine if WXYZ is a parallelogram

ct one a m BAC 90 b m BAC 30 cm BAC 45 d m BAC 60 The vertices of a triangle are as follows A 3 2 B 7 2 and C 7 6 What is the m BAC Here is the link to Geogebra

10 3 Dilate by using the origin 8 6 A 4 2 4 2 2 4 6 8 10 B 2 4 C A 4 6 A B 0 6 B C 0 10 C 1 6 8 S 10 8 6 R A 2 104 8 6 4 2 2 6 8 R 8 8 R S 8 8 S 2 1 T 1 4 U T 4 8 T 1 U 4 8 U 6 8 10

17 Steve drew line segments ABCD EFG BF and CF as shown in the diagram below Scalene ABFC is formed A E B 1 LCFG LFCB 2 LABF LBFC F C D G Which statement will allow Steve to prove ABCDEFG 3 LEFB 4 LCBF LCFB LGFC

32 In the diagram below EF intersects AB and CD at G and II respectively and GI is drawn such that GII III A C H E F If mZEGB 50 and m DIG 115 explain why AB CD B

19 What is an equation of a line that is perpendicular to the line whose equation is 2y 3x 10 and passes through 6 1 1 y 2 y 2 3 x 5 2 x 2 3 y 3 x x 1 2 4 y x 10 3

33 Find two values of for the trigonometric equation cos 0 9135 Round your answer to the nearest degree 24 156 B 24 336 204 336 156 204

C 2 Suppose V is a vector space that contains vectors u u us and us If u 2 0 which of the following would be a set that spans V Select that all applied 244 S ui uz ui ui S ui u u Sa ui ui ui S u u u 0 S 0 S

1a If there exist any solutions find the all solutions of the following congruences i x 2x 35 0 mod 27 ii x ux 44 0 mod 49 b Investigate the solututions of the following congruences If there are any solutions or not i x 461 mod 773 ii x 219 Mod 383

For f x 1 2 x 2 the slope of the graph of y f x is known to be 6 121 at the point with x coordinate 3 Find the equation of the tangent line at that point

The regular hexagon has a radius of 4 in 4 in What is the approximate area of the hexagon O 24 in Q 42 in O 48 in O 84 in

Consider quadrilateral JKLM below 17 6 54 L K

in K buto N 2 H 3 2 G 5 1974 C4 B A 5 6 X How does the area of triangle ABC compare to the area of parallelogram GHJK O The area of AABC is 2 square units greater than the area of parallelogram GHJK O The area of AABC is 1 square unit greater than the area of parallelogram GHJK O The area of AABC is equal to the area of parallelogram GHJK O The area of AABC is 1 square unit less than the area of parallelogram GHJK

Construct the circumscribed circle for triangle ABC Show explain your reasoning A

O B 50 A a circle centered at point O Angle AOBmeasures 50 degrees What is the measure of angle ACB 25 degrees 40 degrees 50 degrees 100 degrees

In the rectangle below AE 2x 1 BD 3x 7 and mZEBC 27 Find CE and m ZAED A D B C CE m AED

What formula must be used to find the perimeter of a polygon in the coordinate plane slope formula distance formula area formula midpoint formula