13) A parallelogram is a quadrilateral in which opposite sides are parallel. Determine whether ABCD is a

Mathematics

1 answer:

Oksanka [162]1 year ago

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Yes, ABCD is a parallelogram.

What is parallelogram?

A parallelogram is a geometric shape with sides that are parallel to one another in two dimensions. It is a type of polygon with four sides (also known as a quadrilateral) in which each parallel pair of sides is the same length. A parallelogram has adjacent angles that add up to 180 degrees. You must have studied a variety of 2D shapes and sizes in geometry, including circles, squares, rectangles, rhombuses, etc. Each of these shapes has a unique set of characteristics. Additionally, these shapes have different area and perimeter formulas that can be used to solve a variety of issues. Here, let's examine the meaning, calculations, and characteristics of a parallelogram.

Here, Slope of AB and CD is $\frac{2}{3}$ .
So, AB || CD
Slope of BC and AD is ∞. So, BC || AD
Pair of opposite side are parallel.
Hence, quadrilateral ABCD is a parallelogram.