Question

Paige is a graphic designer who makes logos for companies. She makes a design for a logo, which is in the shape of a square. The design of this logo is drawn on the coordinate plane as square ABCD. She then dilates this logo by a scale factor of 2, forming square A'B'C'D'. She realizes that she needs a much bigger design and so further dilates this transformed square by a scale factor of 3 to form A"B"C"D". What are the coordinates of vertex A' and vertex C"?

A'(-10, -4) and C''(-6, -8)
A'(-10, -4) and C"(-18, -24)
A'(-30, -12) and C"(-18, -24)
A'(-30, -12) and C"(-4, -6)
A'(-10, -4) an

Answer 1

https://cdn.ple.platoweb.com/EdAssets/97ef42e5bba844f5bbe127535836379c?ts=635591394084170000

Answer 2

i guess nobodies smart enough to do this

Answer 3

Look at the given graph.
What are the coordinates of A ?

Answer 4

-5,-2

Answer 5

good, you get A' by dilating that by a factor of 2

Answer 6

in order to dilate by a factor of 2,
simply multiply each coordinate by 2

Answer 7

what do you get when you multiply each coordinate of A by 2 ?

Answer 8

so multiply -5,-2

Answer 9

multiply each of them by 2

Answer 10

-5*2, -2*2

-10, -4

Answer 11

so

A' = (-10, -4)

Answer 12

is that clear ?

Answer 13

yea thanks can u help with more

Answer 14

Triangle XYZ, with vertices X(-1, -3), Y(-1, -1), and Z(-3, -1), is translated 2 units right and one unit down to form triangle X′Y′Z′. What are the coordinates of the vertices of triangle X′Y′Z′?
X′(1, 4), Y′(1, -2), and Z′(-1, 0)
X′(1, -4), Y′(1, -2), and Z′(-1, -2)
X′(-1, 4), Y′(-1, 2), and Z′(1, 0)
X′(1, -4), Y′(1, -2), and Z′(-1, 0)
X′(-3, -4), Y′(-3, -2), and Z′(-5, -2)

Answer 15

hey before that, have you figured out A'' in first problem ?

Answer 16

yea

Answer 17

what did u get ?

Answer 18

a

Answer 19

a is wrong

Answer 20

you need to multiply the coordinates of A' by 3

Answer 21

A' = (-10, -4)

A'' = (-10*3, -4*3) = (-30, -12)

Answer 22

so C

Answer 23

nope

Answer 24

could you post your options again

Answer 25

there was an issue while you copy pasted

Answer 26

Triangle XYZ, with vertices X(-1, -3), Y(-1, -1), and Z(-3, -1), is translated 2 units right and one unit down to form triangle X′Y′Z′. What are the coordinates of the vertices of triangle X′Y′Z′?
X′(1, 4), Y′(1, -2), and Z′(-1, 0)
X′(1, -4), Y′(1, -2), and Z′(-1, -2)
X′(-1, 4), Y′(-1, 2), and Z′(1, 0)
X′(1, -4), Y′(1, -2), and Z′(-1, 0)
X′(-3, -4), Y′(-3, -2), and Z′(-5, -2)

Answer 27

A'(-10, -4) and C''(-6, -8)
A'(-10, -4) and C"(-18, -24)
A'(-30, -12) and C"(-18, -24)
A'(-30, -12) and C"(-4, -6)
A'(-10, -4) an

Answer 28

something is missing, look at last option

Answer 29

it was not pasted properly

Answer 30

oh i can't go back becuz i already chose an answer

Answer 31

can u help with this one now

Triangle XYZ, with vertices X(-1, -3), Y(-1, -1), and Z(-3, -1), is translated 2 units right and one unit down to form triangle X′Y′Z′. What are the coordinates of the vertices of triangle X′Y′Z′?
X′(1, 4), Y′(1, -2), and Z′(-1, 0)
X′(1, -4), Y′(1, -2), and Z′(-1, -2)
X′(-1, 4), Y′(-1, 2), and Z′(1, 0)
X′(1, -4), Y′(1, -2), and Z′(-1, 0)
X′(-3, -4), Y′(-3, -2), and Z′(-5, -2)

Answer 32

2 units right

so add 2 to the x coordinates

Answer 33

one unit down

so subtract 1 to the y coordiantes

Answer 34

X = (-1, -3)

X' = (-1+2, -3-1) = (1, -4)

Answer 35

see if you can find Y' similarly

Answer 36

@mrgray

Answer 37

1,-2

Answer 38

Yes!

Answer 39

what about Z'

Answer 40

is it -1,0

Answer 41

Perfect!

Answer 42

ok so its D

Answer 43

i got 10 more can u help

Answer 44

@ganeshie8

Answer 45

il try, post

Answer 46

A 90° counterclockwise rotation about the origin, and then a reflection across the x-axis performed on shape I
proves that shape II is congruent to shape I. Which other sequences of transformations on shape I can also be
used to prove congruence to shape II?

a reflection across the y-axis and a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about the origin and a reflection across the y-axis
a reflection across the y-axis and a 90° counterclockwise rotation about the origin
a 90° clockwise rotation about the origin and a reflection across the x-axis
a reflection across the x-axis and a 90° clockwise rotation about the origin

Answer 47

https://cdn.ple.platoweb.com/EdAssets/61e152e2ebbb47f083359266abd86128?ts=635603555664070000

Answer 48

I think it is

a reflection across the y-axis and a 90° counterclockwise rotation about the origin