parallelogram abcd has the angle measures shown. can you conclude that it is a rhombus a rectangle or a square. explain

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parallelogram abcd has the angle measures shown. can you conclude that it is a rhombus a rectangle or a square. explain

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Xavia 3 years 2021-08-24T22:41:15+00:00 1 Answers 101 views 0

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  1. thongdat2
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    2021-08-24T22:42:49+00:00
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    Answer:

    We can analyze the four optons. 1) Option A. A parallelogram with all four angles of the same measure can be either a square or a rectangle, then this option is not valid. 2) Optrion B. gives not information. 3) A rhombus (a diamond) is a parallelogram with four congruent side (square is a specific case of rhmbus but not all rhombus are squares), and it is enouh to say that one diagonal bisects two interior angles, to conclude that it is a rhombus. 4) If a diagonal creates congruent angles, but you do not know what happens with the opposed angle, you cannot conclude that the parallelogram is a rectangle; it could be a trapezoid with one side perpendicular to the parallel sides. By t his analysis, the answer is option C.

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