Coordinate system Questions and Answers

Which is true of a geometric point A two dimensional B one dimensional C three dimensional K D no dimensions only position

Defined by two lines or rays diverging from a common point A perpendicular lines B C D angle parallel lines arc

A Angling in Radians corresponds to the terminal side of an angle in standard position that rotates for Understanding A 9 Think Give the number that c 1 3 radians UNLESS your C value is 5 or 8 If your C is 5 or 8 calculate the angle by c 2 T 3 A9 1 Answer The number that corresponds to the terminal side is Explain your reasoning A9 2

Scale Factor 11 1 Center Point N M O IM N

4 Graph a system of equations to solve 21x 21 5 x 1 Show your solutions clearly on your graph x

Scale Factor Center Point N M O MI N

Scale Factor Center Point N M O N

The endpoints of LM are 4 3 2 and M 3 2 Which of the following could not be the endpoints of the image of LM under a dilation centered at the origin O L 3 2 and M 3 2 O L 3 2 and M 3 2 02 1 1 1 and M 11 1 M 1 O L 9 6 and M 9 6 O None of the other answers are correct

C A D Question 12 Type of dilation Enlargement Reduction Question 13 G O Congruence Transofrmation Scale Factor B F

Question 4 8 10 84 2 2 4 6 8 10 x B 4 2 99 2 pts Use your work from 1 3 to determine the scale factor that maps any circle with radius r onto any circle congruent to circle with radius s

Prove that circle A with center 1 1 and radius 1 is similar to circle B with center 3 2 and radius 2 Circle A can be mapped to circle A by a translation x y x 2 y 1 Then circle A can be mapped to circle B 1 by a dilation with scale factor 2 So circles A and B are similar O Circle A can be mapped to circle A by a translation x y x 1 y 2 Then circle A can be mapped to circle B by a dilation with scale factor 2 So circles A and B are similar Circle A can be mapped to circle A by a translation x y x 1 y 2 Then circle A can be mapped to circle B 11 13 by a dilation with scale factor 2 So circles A and B are similar Circle A can be mapped to circle A by a translation x y x 2 y 1 Then circle A can be mapped to circle B by a dilation with scale factor 2 So circles A and B are similar None of the other answers are correct

Which describes how Circle C can be transformed to show that Circle D is a similar figure 10 10 8 6 4 2 O 8 6 L 9 10 2 6 8 10 X translation of Circle C x y x 3 8 dilation of the image with center 4 1 and scale factor 6 O translation of Circle C x y x 8 y 3 dilation of the image with center 4 1 and scale factor translation of Circle C x y x 3y 8 dilation of the image with center 4 1 and scale factor translation of Circle C x y x 8 y 3 dilation of the image with center 4 1 and scale factor 6 None of the other answers are correct

Find the sine cosine and tangent of ZR R 31 P 00 Q Write your answer in simplified rationalized form Do not rour sin R cos R tan R 34 65

The diagram shows the location of Noah and Ben after swimming in different directions fro a dock Let d be the distance from Noah to Ben in yards Noah 84 yd 21 d 147 63 d 84 0 d 147 0 d 105 d Dock 63 yd Ben

16 If you want to stop exactly halfway between Wrigley Field and Toyota Park then what would be the location a 0 5 5 b 5 0 5 c 0 6 d 1 10 Toyota Park

23 What is the radius of the circle given the following x 5 y 1 25 a 25 b 5 c 5 2 d 10

Which two solutions would make this inequality true 7x 9 3x 13

point s is on the line segment from point P 1 1 to points Q 7 3 and divides the segment into thra ratio 1 4

10 Name the rigid motion that maps ABCD onto FEHG a ry axis b rx axis c T 6 0 d R 90 about 0 0 D A 4 5 d C B 3 2 0 F G 2

Write the rule to describe the transformation Ve 11 Dilation of Dilation of Dilation of Dilation of U X 14 33 2 54 1 3

What is the value of x given that the two prisms are similar A 2 B 2 5 3 C 1 5 D 10 5 20 2 2 5 1 5

Apply the dilation D to the polygon with the given vertices Name the coordinates of the image points D x y 3x 3y J 1 4 K 6 4 L 6 1 M 1 1 16 5 4 3 2 1 J M 1 2 3 4 5 1 10 O J 12 3 K 12 18 L 3 18 M 3 3 O J 3 12 K 18 12 L 18 3 M 3 3 O J 3 12 K 18 12 L 18 3 M 3 3 7 8 O J 3 12 K 18 12 L 6 1 M 1 1 O None of the other answers are correct

Graph the image of each polygon wit the given vertices after a dilation centered at the origin with the given scale factor What are the coordinates of F k 1 1 12 D 2 0 G 0 2 F 2 2 O F 1 0 O F 0 1 O F 1 1 O F 4 4 YA X

Determine the scale factor Pre Image Image 2 2 4 2 2 6 4 6 1 1 2 1 1 3 2 3

LOOK FOR A PATTERN 2 A baby hamster weighs 4 g when it is born It weighs 28 g at 4 weeks and 52 g at 8 weeks Assume a constant rate of increase How much will the hamster wight at 14 weeks WRITE AN EQUATION 3 You mix 8 oz of concentrate with 64 oz of water to make orange juice If you need a total of 288 oz of juice how much concentrate should you buy

8 Given QK bisects RL and S is the midpoint of QK Prove QR KL Statement 1 QK bisects RL and S is the midpoint of QK 3 4 ZRSQ LKSL 5 4RSQ AKSL 1 Given P 4 R 5 N Reason 2 Definition of Segment bisector 3 Definition of midpoint M H K

variety of transformations are given below Select all which are not rigid transformations A Translating using x y x 3 y 3 B Dilating with a scale factor of from 1 2 C Applying x y 2x 2y D Reflecting over the z axis then rotating 90 around 2 3 E x y x 5 y 2 n T1 T 1 11

The image below shows some line segments that are chords and some segments that are not chords chords not chords DO OC OGO What do you notice about chords What do you notice about the line segments that aren t chords

3x 1 4 3x 6 3 Solving Squares and Square Root by Graphing 5 7 5x2 2 3 4 27 151 x 10 4 1 4 W FIDE D

The equation of line t is y x 8 Line u is parallel to line t and passes through 8 5 What is the equation of line u

23 Graph the quadratic function y x

c h x gof x Hint This is a composition of functions 1 mark 15 10 S 10 10 y f x 15 y g x 20

Mark the critical points on the following graph z e 1 9 8 7 6 5 4 fir 3 2 Clear All Draw Dot

Use the graph y g x to graph the given function 7 5 6 A 1 y g x 4 4 3 2 2 4 6 2 2 7 6 5 4 3 2 1 2 3 4 5 6 7 Ty 12 3 2 4 5 b 7 y g x 6 x X X

Give the matrix representation for the elements of F using the irreducible polynomial x x 1 over F

Find the Fourier transform of the signal Fig 5 17 a sin at

10 A hammock chair is suspended from a beam by two ropes One rope is 46cm long and forms an angle of 60 degrees with the beam The other rope is 64cm long What angle does it make with the beam to the nearest degree 60 46 cm 1 Find b using the Cosine Law Afterwards solve the rest of the triangle with your preferred metho can round the angle to the nearest degree and the side length to the nearest tenth 15 64 cm 136

M 32 P 148 90 to answer choices O 32 N Q Kite LMNO is shown Solve for x

9 Find m2DBC in the figure below A 66 B 156 C 114 D 153 11 If RT bisects QRS m2QRT 16x 9 and SRT 2x 33 find mZSRT 3 516 12 Given the diagram below 23 and 26 are dassified as which type of angles A Consecutive Interior B Alternate Interior C Corresponding D Alternate Exterior 10 If ZP and 20 are complementary angles m P 7x 6 and m20 16x 9 find m P A 43 B 54 516 14 A what must be the measure of the angle 15 If w II v solve for s marked x B 13 Given the diagram below which pair of angles are alternate interior angles 430 A 31 B 38 C 54 D 59 Clea A 39 B 57 C 14 D 61 A 23 and 24 B 23 and 26 C 4 and 26 D 22 and 27 7 15 A 9 B 18 C 19

4 10 points Consider the system 1 2 3 2 a Plot the solution curve passing through the point 6 b Express the curve in the form y F x y Hint an integrating factor is x y X Y

Determine whether the polygons with the given vertices are congruent Use transformations to explain your reasoning W 3 1 X 2 1 Y 4 4 Z 5 4 and C 1 3 D 1 2 E 4 4 F 4 5

Properties All four sides are congruent Diagonals are perpendicular Four right angles Both pairs of opposite sides are congruent Diagonals bisect both angles Diagonals bisect each other Only one pair of opposite sides are congruent Same side interior angles are supplementary Both pairs of opposite angles are congruent Diagonals are congruent Only one pair of opposite sides are parallel Both pairs of opposite sides are parallel Square Parallelogram Rhombus Kite Isosceles Trapezoid Rectangle

Use the Law of Detachment to write a conclusion from the following statements If a person wants to be an engineer then that person needs to get a degree in engineering Michael wants to be an engineer O A Michael must get a degree in engineering Michael must study C Michael has a degree in engineering O O B D Michael has studied

Solve the following equation x4 2 3x 4 0 Answer in trigonometric form r cos 0 i sin 0 Where T 0 Preview and

2 Given the function y x x 4x 4 answer the following questions a Find all of the solutions for x x 4x 4 0 Show all your thinking Using your solutions in part a when will the function y x x 4x 4 b Cross the x axis c Cross the y axis Show all your steps d To find out how the function is behaving before and after each solution show your work on what points you would plug into

Below is the entire graph of function f Graph the inverse of f 8 6 9 4 2 6 t Z 24 N 2 4 0 X

Triangles ABC and DEF are shown in the graph 8 6 20 B 3F Which sequence of transformations maps AABC onto ADEF a dilation by a scale factor of 3 centered at the origin followed by a reflection across the y axis B a dilation by a scale factor of 13 centered at the origin followed by a reflection across the y ax a dilation by a scale factor of 13 centered at the origin followed by a reflection across the x ax a dilation by a scale factor of 3 centered at the origin followed by a reflection across the x axis

tA A right triangle has legs of lengths 22 inches and 11 inches Find the length of the hypotenuse Provide an answer accurate to the nearest tenth label required

First try was incorrect Find the length of the missing side Provide an answer accurate to the nearest tenth 18 03 in 19 in 5 in Tabel required dhy

How many square inches of 063 aluminum would be needed to make an 18 diameter by 26 long cylindrical oil tank Hint Remember you need two end caps 18 1979 16 in 2578 9 in 26h