Coordinate system Questions and Answers

A group of students was asked if they have at least one sibling and at least one pet The venn diagra below represents the results of this survery Sibling 4 1 3 12 7 12 15 Pet Find P has a sibling and a pet 5 12 9

The Venn diagram below shows the number of students in Mrs Crane s homeroom who were on Honor Roll taking advanced classes or had perfect attendance for the first quarter Honor Roll 4 9 2 5 1 3 2 4 Advanced Classes Perfect Attendance How many students are on Honor Roll OR had perfect attendance

2 Find the measure of the indicated angle or arc in OP given mLM 84 and mKN 116 b 9 mzJKL m2KMN mZKLN mMJ f h mzMKL mzJKM mZLNM mLKJ N PQ P M L

Which of the following real numbers are constructible Justify your answers a 7 5 b 11 W13

Find the volume and surface areas of the given prism if all the dimensions are cut in half 4m 5m 6m Surface Area Lateral Surface Area Volume m m PPSGM Review Part 1 m Which of the following statements must be true Select all that apply If two cubes have edge length ratios of 3 2 the ratio of their volumes will be 27 8 If two cubes have edge length ratios of 3 2 the ratio of their surface areas will be 9 4 If two cubes have edge length ratios of 3 2 the ratio of their surface areas will be 27 8 Jonath in the vill bo 0

3 B u 4 C u A u 2 v 16 3 D u O A OB U 8 3 3 8 3 3 16 60 3 V V 4 3 3 V 2 v 2 E

Find the volume of the following shape 2 m 2 m 6 m 3 8 m 3 32 m 3 O16 m 3 2 m 2 m 2 m

Find the volume of the following shape 35 in 3 420 in 2 210 in 2 210 in 3 5 in 7 in 12 in

Find the volume of the following shape Use 3 14 for 3 in OO 4 in 37 68 in 3 O 40 in 3 150 8 in 3 144 in 3

8 m2C and mZD 3x E 5x 12 VOX A

a A A image Preimse b translation preimage preimage A of Hers image CY to Feflection each This This Fr transformation is n transformazion is a

8 6 what reflected 19 o has 2 are 8 6 the 2 O are 2 M to the across Y t 9 8 9 8 fa Coordmates the 4 or G x axis H coordinates D 04 to X

and side Solve for Triangle SRT Triangle S 11X 4 X 353 X 70 T D SO CBD R B 66 C

In the figure shown the radius of circle 0 is 3 centimeters P B 3 What is the length of the arc bounded by central angle POQ A 37 cm 60 0 3 cm 37 cm 2 C 7 cm RIN D T Q cm

tank is hemisphere it 27 t approximate the tank A water storage off The volume FL 3 rand 28 FF of the to cubic Shape the radius is the volume of feet tank is approximately nearest whole number 41224 3854

Find the distance Points between NC 6 2 d 2 C P 3 6 65 the pair 9

FG 7 Show That S 9 V 3 S a slope or UTE slope of S le pe or SV the follow parallelogram the C T Find Slope or VO 6 Slaces The quadrilater is Corite sides X a quadrilatera are ct The Sides Part 1 options 9 2 4 1 t 2 afhions Parallel Undefine Ecipendicular no congruent parrelogram because

Select the 15 is car the and Seometric mean of 2

Choose the congruence statement that applies to the triangles AAS SSS OSAS NIZA

Probabilities associated with events A and B are shown in the Venn dia Event A 0 30 0 31 C D Which equation correctly shows the steps to find P B A A 0 30 0 31 0 31 0 17 0 31 0 78 B 0 30 0 31 0 31 0 17 0 29 0 31 0 31 0 17 Event B 0 17 0 31 0 31 0 30 0 22 0 65 0 51

The diagram shows rectangles 1 2 3 and 4 80 in 2 20in 30 3 B 3 40 in 4 40 r 2010 what rectangls are similar A rectangls 1 2 and 4 2 and 3 1 DD rectangl s 1 2 CD rectangles and 41 rectangles 2 3 and 4

2 Find the x y values 6 of the variables X Y X options 6 4 7 9 4 y options 75 7 9 41 Y 750 9 4 19 14

Triangle ABC has coordinates A 1 3 2 0 and triangle after a sequence of transformations is triangle A B C where A 5 3 B 4 0 and C 2 1 Write a sequence of transformations that takes triangle ABC to triangle A B C y 1 B 4 3 2 1 2 34 5 6 A B 1 2 3 4 C LA 4 1 The image of this

Geometry In Exercises 139 142 write in factored form an expression for the area of the shaded portion of the figure 139 X X 9 4 140 X X X Xx 18 X X X XX X

What ratio of x to y would make A LNM AQPR Select one M O O 3 2 5 4 O 1 1 2 1 5 in 4 in Xx N 3 2 in 4 in P Y Q

Find x Assume that segments that appear tangent are tangent 1 2 a 14 b 25 V 9 W P 2 11 U R 2 14 S T 8 C d 11 Please select the best answer from the choices provided

840 8 Circle O has an area of 144x What is the area of the shaded region

A lying the Polygon Interior Angle Sum Theorem An interior angle of a regular polygon has a measure of 108 What type of polygon is it The polygon is

How can you best describe the outside of one of these objects using polygons The object has sides so it is 3 because the sides and It appears to be angles appear to be congruent

In the regular decagon shown what is the measure of angle 1

4 Q1 SPIRAL Determine the solutions to the equation below x 16x 80

A group of students at a high school took a standardized test The number of students who passed or failed the exam is broken down by gender in the following table Determine whether gender and passing the test are independent by filling out the blanks in the sentence below rounding all probabilities to the nearest thousandth Male Female Since P male fail events are Passed Failed 83 4 8 115 and P male the two results are so the

Identify the image for the following and the center of dilation at the origin 6 5 4 3 2 A B 9 8 7 6 5 4 3 2 1 4X 10 1 2 3 4 5 6 7 8 9 Z Y 1 2 3 4 5 6 7 9 8 7 6 5 4 3 2 1 7 6 5 4 3 2 10 2 3 4 5 6 7 8 9 9 8 7 6 5 4 X 234 Y 3 2 1 Y in MEU Y 9 Z

3 Find the value of x A E OA 21 OB 7 OC 5 OD 15 105 797 5x B D

2 In OY the radius is 10 AB 50 and arc ACB 120 Find AD OA 60 OB 16 OC 25 OD 44

H K J We are given that the measure of angle H is 13x 8 degrees and the measure of angle J 16x 2 degrees Determine the measure of arc KHI The measure of arc KHI is degrees

X Z Y We are given the following information In circle Z segment XY is tangent to circle Z at point X XY 9 6 and WY 16 Determine the length of a radius of the circle The length of radius of the circle is

Write an explicit formula for the sequence using the first five points shown on the graph an an 13 11 9 7 5 3 1 1 5 1 2 7 2 3 9 3 5 13 4 11 4 5 6 7 n

9 Arc AD 136 and Arc BC 50 Find as many angles as possible

Question 7 The triangle ABC is compressed by a scale factor 0 5 and enlarged by a scale factor of 2 Find the coordinates of the dilated triangle ABC 8 7 6 5 4 3 Points 2 Y A 2 3 B 4 5 O A 2 2 B 4 7 C 7 7 6 A 1 1 B 2 3 5 C 3 5 3 5 A 1 1 B 2 3 C 4 4 A 2 2 B 4 7 C 7 7 7 8 9

esson Posttest Question 2 Points 3 A triangle with vertices 1 1 2 5 and 5 3 is dilated by a scale factor of 3 about the origin Find the new coordinates of the vertices of the triangle O 2 2 4 10 and 10 6 O 3 3 6 15 and 15 9 O 2 2 4 10 and 10 6 O 3 3 6 15 and 15 9

Find the least squares approximating parabola for the given points 1 1 2 3 3 6 4 8 y x

ot five points on the graph of the function one point with x 0 two points with negative x values and two points wit ositive x values Then click on the graph a function button 14 12 10 124 10 12 G

Question 5 Points 2 The construction of parallel lines using a point and a line makes use of the property O Parallel lines do not intersect 11 O Many transversals can be drawn through a set of parallel lines O Transversals do not intersect A transversal makes equal angles of inclination with the parallel lines

Question 8 Points 2 Find the measure of the missing angle in the following figure if the two lines cut by a transversal are parallel 60 O 60 degrees 120 degrees 30 degrees 300 degrees

son Posttest Points 1 Question 8 If two sides of the triangle are congruent then the triangle is called as triangle O scalene O isosceles O equilateral Oright triangle

An angle a in standard position has a terminal side which passes through the point 0 6 Determine values for each standard trigonometric function If the function is not defined for the given a enter INF sin a cos x tan a cot a sec a csc a

Question 9 In AABC and ADEF find the missing side DF in the triangle DEF A A 3 5 Points 2 B 4 5 units 10 units 15 units 20 units D 6 E 00 8 F

Question 7 Points 3 Which of the following composition of transformations would create an image that is congruent to its original image A rotation of 90 followed by compression of 2 scale factors A translation 5 units to the left followed by dilation of scale factor 1 2 O A reflection across the x axis followed by a rotation of 90 O A enlargement by 0 5 scalar factor followed by a translation of 2 units to the right R RE

Question 9 Points 2 The endpoints of the line segment AB are A 1 6 and B 5 6 If the line segment AB is rotated 90 degrees clockwise then find the coordinates of the rotated line segment O A 6 1 and B 6 5 O A 6 1 and B 6 5 O A 6 1 and B 6 5 O A 6 1 and B 6 5