Question

Answer the questions by using the coordinate plane below.

Answer 1

@Vocaloid

Answer 2

please show the directions in their entirety

Answer 3

as for the coordinates ?

Answer 4

alright, start by naming what the coordinates of P, Q, and R are by looking at the graph

Answer 5

P: -2
Q: -4
R: -6

Answer 6

remember that a coordinate point includes 2 numbers. 1 for the x value. 1 for the y-value.

Answer 7

-2 and -4

Answer 8

for point P, how many units below the x-axis is it?

Answer 9

4 units

Answer 10

put your finger on the x-axis

how many units do you have to go down to get to point P?

Answer 11

oh you go down to 6 units

Answer 12

notice how you only have to go down 1 unit to get to point P

so the coordinates of point P are (-2,-1)

Answer 13

repeat this process for points Q and R.

Answer 14

also q and r

Answer 15

q: -3

r: -4

Answer 16

like I said, a coordinate point has ~2~ numbers, not just 1.

so each point Q and R should have 2 numbers each.

Answer 17

for point Q, point your finger on the origin, how many units left do you have to get to point Q?

Answer 18

-1

Answer 19

good, so the coordinates of point Q are (-1,-3)

using this same logic, what are the coordinates of point P? remember your answer must have TWO numbers

Answer 20

(-1, -4)

Answer 21

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
notice how you only have to go down 1 unit to get to point P

so the coordinates of point P are (-2,-1)
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 22

now, repeat this process with point R

Answer 23

(-3, -4)

Answer 24

or (-4, -5)

Answer 25

put your finger on the origin and keep going left until you reach point R


how many units did you go?

Answer 26

-5

Answer 27

almost, notice how you have to go 6 units to the left not 5

so the x-coordinate is -5

now put your finger on the origin again and go down until you reach point R
how many units did you go?

Answer 28

-6

Answer 29

hm not quite, notice how point R stops at -4

so the coordinates of R are (-6,-4)

Answer 30

so let's review:

point P: (-2,-1)
point Q: (-1,-3)
point R: (-6,-4)

Answer 31

now, to find P', Q' and R', we want a 180 degree rotation

so multiply all the coordinates by -1 to get the values of P', Q' and R'

Answer 32

brb

Answer 33

P: 0

Q: 5

R: -1

Answer 34

remember, a coordinate point has ~two~ numbers, so points P' Q' and R' should have two numbers each

Answer 35

point P: (-2,-1)
point Q: (-1,-3)
point R: (-6,-4)

just multiply all the numbers you see by -1

Answer 36

P: (-1, 0)

Q: (0, 2)

R: (5, 3)

Answer 37

let's start w/ Point P

point P: (-2,-1)

-2 * -1 = 2
-1 * -1 = 1

so P' = (2,1)

repeat this process for points Q and R.

Answer 38

-1 * -1 = 1

-1 * -3 = 3

Answer 39

-1 * -6 = 6

-1 * -4 = 4

Answer 40

good

so point P' is (2,1)
point Q' is (1,3)
point R' is (6,4)

these are your solutions for blank 1, blank 2, and blank 3, in that order

Answer 41

the first 3 are the -2 and -1

and the second 3 are (2, 1)

Answer 42

correct ?

Answer 43

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
good

so point P' is (2,1)
point Q' is (1,3)
point R' is (6,4)

these are your solutions for blank 1, blank 2, and blank 3, in that order
\(\color{#0cbb34}{\text{End of Quote}}\)

blank 1 = (2,1)
blank 2 = (1,3)
blank 3 = (6,4)

Answer 44

no - next to it ?

Answer 45

i don't understand what you mean

Answer 46

not -2

just (2, 1)

Answer 47

?

Answer 48

remember, it is asking for the coordinates of P', Q' and R'

we found the coordinates of P, Q, and R by looking at the graph

then we multiplied the coordinates by -1 to represent a 180 degree rotation

therefore, your solutions for blank 1, 2, and 3 are:

blank 1 = (2,1)
blank 2 = (1,3)
blank 3 = (6,4)

Answer 49

ok repeat the same for 4, 5, and 6 ?

Answer 50

then for blanks 4, 5, 6 we want a reflection across the x-axis of points P, Q, and R

so we multiply the y-coordinates only by -1

apply this logic to these points:
point P: (-2,-1)
point Q: (-1,-3)
point R: (-6,-4)

Answer 51

ok that's it ?

Answer 52

what did you get after multiplying the y-coordinates by -1?

Answer 53

solve by multiplying by -1 and then applying into making it the solution

Answer 54

yes, so what do you get when you take the coordinates of P, Q, and R, and multiply the y-coordinate by -1?

Answer 55

by assuring to multiply them and matched it to getting the answer first you have multiply -1 by each coordinate into realizing the solution

Answer 56

please show me the numbers you get when you take the points

point P: (-2,-1)
point Q: (-1,-3)
point R: (-6,-4)

and multiply the y-coordinate by -1. The answer is looking for numbers, not words.

Answer 57

-1 * -1 = 1

-1 * -3 = 3

-1 * -4 = 4

Answer 58

good

so your solutions are:

point P:
(-2,1) = blank 4
point Q:
(-1,3) = blank 5
point R:
(-6,4) = blank 6

Answer 59

okthank you so much for help Vocaloid