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Mathematics 12 Online
Naruko885:

Will star and fan for help! Need help on my practices test!

Naruko885:

Triangle PQR with vertices P(3, −6), Q(6, −9), and R(−15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which statement best describes triangle P′Q′R′? It is similar to triangle PQR and has coordinates P′(1, −2), Q′(2, −3), and R′(−5, 1). It is congruent to triangle PQR and has coordinates P′(1, −2), Q′(2, −3), and R′(−5, 1). It is similar to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9). It is congruent to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9).

AMQ:

Since it was dilated, we know that it is similar, and not congruent, so we can eliminate B and D.

AMQ:

Also, it was dilated by a scale factor of 3, which means it will be 3 times bigger.

AMQ:

So which should be the answer?

Naruko885:

I think it might be C. But I don't really know.

AMQ:

Since it will be three times bigger as the original figure, you would simply multiply 3 to all the x and y-values. So we will multiply 3 to all these numbers: P(3, −6), Q(6, −9), and R(−15, 3). Can you multiply 3 to all of those?

AMQ:

@Naruko885

Naruko885:

yeah give me a moment.

Naruko885:

-18 -54 -45 I think?

AMQ:

x and y values

AMQ:

For example, first one will be (9, -18). Can you do the rest?

AMQ:

@Naruko885

Naruko885:

Oh I got it so its A right!!

AMQ:

no

AMQ:

@Naruko885 How did you get A???

Naruko885:

Oh sorry my computer used spell check I said C. sorry.

AMQ:

Yep.

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