Question

Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?

Answer 1

@mathmale

Answer 2

@mathstudent55

Answer 3

It might help if you were to plot both points. Identify the horiz. distance from one point to the other, and then the vertical distance.

If you draw a line from one point to the other, and then draw in the horiz. and vert. distances, you'll see you have a right triangle.

How would you use the Pyth. Theorem to determine the length of the hypotenuse? That length is the distance from one of your points to the other.

Answer 4

Wait what

Answer 5

Explain in explicit detail please

Answer 6

I misread your quesiton. I'd suggest you follow my suggestion (above) first, since you will need to find the distance from B to B' later.

Are you familiar with the Pyth. Theorem?

Answer 7

uh, a^2+b^2=c^2?

Answer 8

You need to start with polygon ABCD. Plot the 2 given points representing A and A'.
Next, determine what the translation rule is, just as you did in the previous problem.
Next, determine points B', C' and D'.
Plot ABCD and A'B'C'D.
I'd bet you'll find that the distance from B to B' is actually the same as the distance from A to A'

What have you done so far?

Answer 9

You do need to use the Pythagorean Theorem, but that comes a bit later. Define the translation rule first.

Answer 10

You are not given points B, C or D. You can invest them! Just plot point A and then put B,C and D wherever you want. What is the distance from A to A'?

Answer 11

-3,3?

Answer 12

You are given points A and A' Please show me how you will calculate the distance between these two points. What does your "-3,3" represent?

Answer 13

Left 3, down 4* (not 3)

Answer 14

Subtract x1 and x2, subtract y1 and y2

Answer 15

right?

Answer 16

I*f you do that you'll ob tain the slope of the line connecting A and A'. That's not quite what you want.

Answer 17

You want the distance between A and A'.

The horiz. change from A to A' is. .... what?
The vertical change from A to A' is .... what?

Square both of these results. Add the squares together. Think: Why?

Answer 18

shoot, I have to go rn, but I'll ask my next teacher for help since next class is math anyways. Thank you very much for the help you've given me. <3

Answer 19

Ok so i still can't figure it ;-;

Answer 20

@mathmale

Answer 21

You did well on this material before and can do so again.
Every point on your polygon is to be translated in the same way as is Point A.
So B will be translated in exactly the same way as was done with Point A.

Especially if you draw this situation, you may see that the distance from A to A', the distance from B to B', and so on, is the same in each case.

Find this distance, the distance from A to A'. Use the distance formula or the Pythagorean Theorem.

Answer 22

How do I find the distance formula, or if you could, tell me what it is?

Answer 23

When something like that is easy to look up, I prefer to encourage the other person (you) to look it up. Google "distance formula."

Answer 24

\[Distance =\sqrt{(x2−x1)^2+(y2−y1)^2}\]

Answer 25

that?

Answer 26

THAT. Perfect!!

Answer 27

So now I just plug in the cords for A and A'?

Answer 28

Yes. More accurately, plug in the coordinates (not answers) for each point, A and A'

Answer 29

So It'd be \[Distance =\sqrt{(-2−1)^2+(1−5)^2}\]

Answer 30

Yes. What is that distance? Your answer MUST be a positive quantity.

Answer 31

5?

Answer 32

Yes, very good! that, in effect, answers this whole question.

Answer 33

because if A to A' is , then B to B' is 5 too, right

Answer 34

Language. If the distance from A to A' is 5, then so is the distance from B to B'

Answer 35

oops xc

Answer 36

All set then? Satisfied?

Answer 37

Thank you very much, yes I'm satisfied :)

Answer 38

Wishing my teacher were this way ;-;

Answer 39

Great. Take care, great day to you. I bear you no malice. ;)

Answer 40

C'mere and teach my class will ya'?

Answer 41

Sure. There are just those small matters of housing and pay. ;)

Answer 42

XD Thanks anyways :P

Answer 43

If I come to a problem I absolutely cannot solve, i'll bug you again

Answer 44

con mucho gusto. de nada. bitte sehr. merci. Come bug me again, later.

Answer 45

yeet, bye

Answer 46

;)