Rectangle Similarity: Compare ABCD (7x3) with EFGH (10x6)

Is rectangle ABCD similar to rectangle EFGH?

777333101010666AAABBBDDDCCCEEEFFFHHHGGG

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Step-by-step video solution

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00:00 Are the rectangles similar?
00:03 Let's check the ratio of the sides
00:07 If the similarity ratio is equal, then the rectangles are similar
00:15 Let's substitute appropriate values and solve to find the ratio
00:28 The ratios are not equal, therefore the rectangles are not similar
00:33 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Is rectangle ABCD similar to rectangle EFGH?

777333101010666AAABBBDDDCCCEEEFFFHHHGGG

2

Step-by-step solution

We first need to verify the ratio of similarity.

We examine if:

ABEF=ACEG \frac{AB}{EF}=\frac{AC}{EG}

To do this, we substitute our values in:

710=36 \frac{7}{10}=\frac{3}{6}

710≠12 \frac{7}{10}\ne\frac{1}{2}

The ratio is not equal, therefore the rectangles are not similar.

3

Final Answer

No

Practice Quiz

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Is rectangle ABCD similar to rectangle EFGH?

777333101010666AAABBBDDDCCCEEEFFFHHHGGG

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