Are the following figures similar? Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15. Yes

Question

2 years ago

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Are the following figures similar? Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15. Yes

; the corresponding angles are congruent No; the corresponding angles are not congruent Yes; the corresponding sides are proportional No; the corresponding sides are not proportional

Mathematics

2 answers:

Tatiana [17] · Answer 1 · 2022-06-12T03:27:51+03:00

Answer:

Yes; the corresponding sides are proportional

Step-by-step explanation:

If two figures are similar, the lengths of their sides are proportional. This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.

Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:

5/3 = 25/15

Cross multiply:

5(15) = 3(25)

75 = 75

We got a true statement, so the sides are proportional.

svlad2 [7] · Answer 2 · 2022-06-12T05:46:04+03:00

The correct answer among all the choices is C) Yes; the corresponding sides are proportional. This is the correct answer because the corresponding sides have a similar relationship of 1:5. We can see this relationship when dividing 25 by 5 & dividing 15 by 3, since their both equal to 5, we know the figures are similar. I hope I answered this question to your satisfaction. Have a good day!