A rectangle has a length of 19 in and a height of 11 in. Another rectangle has a length of 95 in and a height of 6.5 in. Are the recta

Question

A rectangle has a length of 19 in and a height of 11 in. Another rectangle has a length of 95
in and a height of 6.5 in. Are the rectangles similar
A. Yes, they are similar because they are both rectangles.
B. Yes, they are similar because they have proportional sides and equal angle measures.
C. No, they are not similar because they do not have equal angle measures. D. No,they are not similar because their side lengths are not proportional.

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Aaliyah 2 weeks 2021-09-12T08:22:26+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T08:24:05+00:00

    Answer:

    Option D. No,they are not similar because their side lengths are not proportional.

    Step-by-step explanation:

    we know that

    If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

    In this problem If the rectangles are similar

    then

    The ratio of its corresponding lengths must be equal to the ratio of its corresponding heights

    Verify

    \frac{95}{19}=\frac{6.5}{11}\\\\95*11=19*6.5\\\\1,045\neq123.5

    therefore

    The rectangles are not similar because their side lengths are not proportional.

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