Question

Jimena draws a figure with two pairs of parallel opposite sides. The four sides are not all the same length, and the figure has no right angles. Which two figures could she have drawn?

Answer 1

Parallelogram

Explanation:

we will solve question using hints given in question

given

There two pairs of parallel opposite sides

1. since there are two pairs of it means there 4 sides so the figure is quadrilateral

there are six possible types of quadrilateral possible

rectangle, square, rhombus, parallelogram, kite or any irregular quadrilateral which has not any standard defined shape

2 . It is given that opposite sides are parallel

there are four such quadrilateral which have opposite side parallel

rectangle, square, rhombus, parallelogram

Thus these are possible figures

3. Four sides are not all the same length

Since square and rhombus have all the sides of same length thus we omit these probable figure

hence probable figure left are

rectangle, parallelogram

4. figure has no right angles

since rectangle has right angle so it will also be omitted from the probable figure

Hence only probable figure left is parallelogram.

Parallelogram is a quadrilateral with two two pairs of parallel opposite sides

and satisfying the above condition of

1. The four sides of not the same length

2. no right angles