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Klio2033 [76]
4 years ago
11

Triangle PQR has been dilated to form triangle P'Q'R'. What is the least amount of information needed to determine if the two tr

iangles are similar?
A. Segments PR and P'R' are congruent, and segments QR and Q'R' are congruent.


B. Angle R=R', angle Q=Q', and segments QR and Q'R' are congruent.


C. Segment QR=Q'R', segment PR=P'R', and angles Q and Q' are congruent.


D. Angles Q and Q' are congruent, and angles R and R' are congruent.
Mathematics
2 answers:
vampirchik [111]4 years ago
7 0
For two triangles to be congruent, we need to show is two of the
1. corresponding angles are congruent,
or,
2. all three pairs of corresponding sides are proportional, 
or 
3. two pairs of corresponding sides are proportional AND the included angles are congruent.

Choice D saus, angles Q and Q' are congruent, angles R and R' are congruent, therefore satisfies the first criterion that at least two corresponding angles are congruent.


Assoli18 [71]4 years ago
4 0
Angle Q and Q are congruent would be the correct answer
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In the problem, two legs measurement were given such as:
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We need to solve for the third leg. Since it is a right triangle, we can use Pythagorean theorem in solving the missing leg:
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When we assume that the third leg is the "c", we can for the value such as:
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The difference between the two possible answer is shown below:
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Answer:

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Step-by-step explanation:

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