Are the following figures similar?

Asked by maham237 @ in Mathematics viewed by 267 People

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

Answered by maham237 @


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.


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