Question

Help please

Answer 1

May I help?

Answer 2

Polygon P'Q'R'S'T' shown on the grid below is an image of polygon PQRST after dilation with a scale factor of 3, keeping the origin as the center of dilation:

Which statement about corresponding sides and angles of the two polygons is correct?

The measures of angle Q and angle Q' are in the ratio 1:3.
The length of side TS is equal to the length of side T'S'.
The length of diagonal RT is equal to the length of diagonal R'T'.
The lengths of side SR and side S'R' are in the ratio 1:3.

Answer 3

@3mar yes just posted the question above

Answer 4

Answer choices:

Answer 5

I see, Mam!

Are you familiar with that?

Answer 6

@3mar sorta I know transformations pretty well

Answer 7

That is very good!

So the dilation - as you know - results in a similar shape, which means:
- congruent angles, and
- proportional sides.

Answer 8

@3mar yes

Answer 9

That is good!

Now which choice satisfies that result?

Answer 10

B or d? Right @3mar

Answer 11

As we said, the corresponding lengths (sides and diagonals) are proportional ...
Is that applied to B?

Answer 12

@3mar wait that's wrong nvm

Answer 13

@3mar no because they aren't

Answer 14

@3mar so it's D?

Answer 15

As the dilation factor is 3, so the image sides' lengths would be 3 time the origins'...
right?

Answer 16

@3mar yes...I'm not sure which answer it is then now AHH

Answer 17

We agree that B and C are out ... as the lengths are proportional, not equal!

Answer 18

@dehydrated
Do you follow?

Answer 19

@3mar yes ok I follow

Answer 20

So A and B are out...agree?

Answer 21

@3mar yes

Answer 22

and A conflicts with "congruent angles",,,right?

Answer 23

@3mar yes yes I get ya so far

Answer 24

So it is D for sure 101 %

Answer 25

If there are any more questions, pleasure is mine to help!