Question

Look at the shapes shown below.



Which statement is true?

Shapes 1, 2, and 3 are parallelograms because they have two pairs of sides of the same length.

Shapes 2 and 4 are trapezoids because they have at least one pair of parallel sides.

All the shapes are parallelograms because they have four sides and one pair of parallel sides.

Shapes 1 and 3 are kites because their diagonals intersect at right angles

Answer 1

What is the definition of a parallelogram?

Answer 2

What is the definition of a kite?

Answer 3

Go through each option and decide if all indicated shaped fit that definition.

Answer 4

A parallelogram is a quadrilateral with opposite sides parallel. It is the "parent" of some other quadrilaterals, which are obtained by adding restrictions of various kinds:

Answer 5

So look at the two options that talk about parallelograms. Do the indicated shapes fit the entire definition of a parallelogram?

Answer 6

A kite is a member of the quadrilateral family, and while easy to understand visually, is a little tricky to define in precise mathematical terms. It has two pairs of equal sides. Each pair must be adjacent sides (sharing a common vertex) and each pair must be distinct. That is, the pairs cannot have a side in common

Answer 7

You now have enough information to answer the question. It might help to look at each shape and classify it as a parallelogram or kite.