Question

A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire department is opening in a different part of the city to maximize fire protection. The size of the new department's property must be congruent to the older department. Vertices A and B are plotted on the grid to represent two vertices of the new fire department quadrilateral ABCD.



What could be the ordered pairs representing vertices C and D of quadrilateral ABCD so that the new fire department is congruent to the old fire department?

Answer 1

answer choices.....a.C(1, 1), D(4, 1)

b.C(1, 6), D(4, 6)

c. C(1, 2), D(4, 2)

d. C(1, 4), D(4, 4)

Answer 2

@jim_thompson5910 hi ! could you please help :)

Answer 3

What's the distance from R to U?

Answer 4

i don't know..im awful at these problems. its terrible:/

Answer 5

simply count how many spaces it is from point R to point U

So start at R, then count 2 spaces down to get to point U

Therefore, the distance from R to U is 2

Answer 6

You then move over to point B and you go down 2 units to plot another point since you want the corresponding distances to be the same.

Answer 7

Do you see what I'm doing here?

Answer 8

yes i do! so it would be 1, 4 ?

Answer 9

Not sure how you got that, point B is (1,3), move down 2 units to get what new point?

Answer 10

oh. 1,1? :/

Answer 11

good

Answer 12

do the same with point A

Answer 13

okay, so 4,1

Answer 14

perfect

Answer 15

those are your two new points

Answer 16

thank you! i really appreciate it

Answer 17

you're welcome

Answer 18

i have another that I'm having trouble with too

Answer 19

ok go for it

Answer 20

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I'.



Which rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I'?

(x, y)→(x + 4, x – 2)

(x, y)→(x – 7, y + 7)

(x, y)→(x + 2, x – 4)

(x, y)→(x + 7, y – 7)

Answer 21

Focus on one point, which point do you want to pick?

Answer 22

umm d

Answer 23

Ok how many units along the x axis do we move D to get to D' ?

Answer 24

er 7?

Answer 25

good

Answer 26

so we add 7 to the x coordinate of D to get the x coordinate of D'

Answer 27

so x --> x+7

Answer 28

Now do the same thing, but look at the y coordinates now

Answer 29

y-7

Answer 30

good

Answer 31

so (x,y) --> (x+7, y-7)

Answer 32

Ahh I can't say thanks enough :)

Answer 33

you're very welcome

Answer 34

If quadrilateral L'M'N'O' represents the reflection of quadrilateral LMNO across the line y = x, which point is at the ordered pair (-1, 1)? I got N' , am i correct? :o

Answer 35

you nailed it, very nice

Answer 36

:D

Answer 37

If trapezoid T'U'V'W' represents trapezoid TUVW reflected over the y-axis, the ordered pair of W' is ....I got (7,2) ?

Answer 38

right again

Answer 39

What is the line of reflection between pentagons PQRST and P'Q'R'S'T'?

Answer 40

not sure what a line of reflection is....when it flips?

Answer 41

yes or reflects over

Answer 42

think of it as the place where you put the mirror

Answer 43

okay, what does it mean by the line? I'm lost

Answer 44

can you place a mirror along a line such that one of those pentagons flip and land right on top of the other pentagon?

Answer 45

ohh so x=1?

Answer 46

close

Answer 47

0?

Answer 48

good

Answer 49

x = 0

Answer 50

also known as the y-axis

Answer 51

okay, so it would be y=0 ?

Answer 52

no, y = 0 is the x-axis

Answer 53

oh okay!

Answer 54

last one, i swear :) If triangle XYZ is reflected across the line y = 1 to create triangle X'Y'Z', what is the ordered pair of X'? .....I got (1,5)

Answer 55

you're on a roll, very nice job

Answer 56

thanks to you! :)

Answer 57

you're welcome :)