Question

Quadrilateral ABCD is located at A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule (x − 3, y + 4) to form the image A'B'C'D'. What are the new coordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments.

Answer 1

@TheSmartOne

Answer 2

can you help or no?

Answer 3

I can help you find the new coordinates, but I really don't understand this part of the question:
`Describe what characteristics you would find if the corresponding vertices were connected with line segments.`

Anyways, we're given these four points:
`A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2).`

And we're applying this rule `(x − 3, y + 4)` to make the image image A'B'C'D'.

Basically, we take one point at a time and do the transformation on it. I'll do one for you as an example!
A(-2, 2)
Remember, these points are in the (x, y) form. This means that for point A, x = -2, and that y = 2.

We then apply the rule on this point to find the new point:

(x - 3, y + 4)
(-2 - 3, 2 + 4)
(-5, 6)

The new point, which we'll call A' is (-5, 6). Can you find what the new points of B, C, and D will be?

Answer 4

yea give me a second

Answer 5

sure!

Answer 6

b (-5,8)
c (-1,8)
d (-1,6)

Answer 7

@TheSmartOne

Answer 8

Correct, and that's as far as I can help you it seems because I don't understand the second part of the question! Good luck! :)

Answer 9

okay thank you

Answer 10

Unless maybe the second question just means to take those 4 points we got and draw line segments between the points to create Quadrilateral A'B'C'D'


kinda like this :P

Answer 11

I plotted both Quadrilateral ABCD and Quadrilateral A'B'C'D

What characteristics can you see? Are the two figures congruent or similar?

Answer 12

Remember, we only translated the figure and does translating the figure change the dimensions? Which means it should be...? (: