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3 years ago

Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.

Mathematics

2 answers:

Nikitich [7]3 years ago

7 0

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.

Citrus2011 [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Refer the attached figure :

In Δ ABD ,

∠B=∠D = 66°

By property : opposite sides of equal angles are equal

Thus AB=AC

In Δ CBD ,

∠B=∠D = 66°

By property : opposite sides of equal angles are equal

Thus CB=CD

Thus all four sides of quadrilateral ABCD are equal

And diagonal BD bisects the angles

So, it is a rhombus

Thus Option c is correct .

c. Parallelogram ABCD is a rhombus, because the diagonal bisects two angles.

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stiv31 [10]

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3 years ago

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Yanka [14]

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Step-by-step explanation:

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Now, the probability that a given class period runs between 50.25 and 50.5 minutes is given by :-

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melamori03 [73]

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