Question

identify quadrilaterals (level 2)
you only have 5 questions left to raise your score.
question
choose all answers that describe the quadrilateral ijkl if $overline{ij}paralleloverline{kl}$ and $overline{jk}paralleloverline{li}$.
answer
attempt 1 out of 2
parallelogram
rectangle
rhombus
square
trapezoid

Explanation:

Step1: Recall the definitions

A parallelogram is a quadrilateral with both pairs of opposite - sides parallel. Given that $\overline{IJ}\parallel\overline{KL}$ and $\overline{JK}\parallel\overline{LI}$, quadrilateral $IJKL$ is a parallelogram by definition.

Step2: Analyze other shapes

A rectangle is a parallelogram with four right - angles. We have no information about the angles, so we cannot conclude it's a rectangle. A rhombus is a parallelogram with all sides equal. We have no information about the side lengths, so we cannot conclude it's a rhombus. A square is a rectangle and a rhombus (has four right - angles and all sides equal), and since we can't conclude it's a rectangle or a rhombus, we can't conclude it's a square. A trapezoid has exactly one pair of parallel sides, but here we have two pairs of parallel sides, so it's not a trapezoid.

Answer:

A. Parallelogram