ABCD is a parallelogram and line CD = line DA. determine whether the parallelogram is a rhombus. if so by which property?

Mathematics

2 answers:

Iteru [2.4K]3 years ago

8 0

<h2>Answer:</h2>

Option: B is the correct answer.

B. Rhombus; congruent adjacent sides property.

<h2>Step-by-step explanation:</h2>

We know that a parallelogram is a quadrilateral which has two pair of parallel sides.

Also, a parallelogram will be called a rhombus if all the sides are of same length.

That is we may say that a Rhombus is a parallelogram but a parallelogram need not be a rhombus.

We are given that:

ABCD is a parallelogram ( this means AB||CD and BC||DA ) and line CD = line DA.

Hence, the parallelogram is a rhombus by:

Congruent adjacent sides property.

tekilochka [14]3 years ago

7 0

Since it tells you it's a parallelogram you know that opposite sides are parallel.
The other piece of information we are given is a pair of consecutive congruent sides. If these sides are congruent the other sides must also be congruent.
Letter B is the answer

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$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 19}}\quad ,&{{ -16}})\quad 
% (c,d)
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\end{array}
\\\\\\
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