Question

A figure is classified as a rhombus.

Which classifications are also correct?

Select each correct answer.

trapezoid

quadrilateral

parallelogram

kite

Answer 1

i have b and c

Answer 2

@sammixboo

Answer 3

@mathstudent55

Answer 4

Is it parallelogram and quadrilateral?

Answer 5

A quadrilateral is a 4-sided polygon.

A parallelogram has two pairs of opposite sides parallel.

A rhombus is a parallelogram with all 4 sides congruent.

A trapezoid is a quadrilateral with exactly one pair of opposite sides parallel. The other pair of sides is not parallel. Therefore, a trapezoid is never a rhombus, and a rhombus is never a trapezoid.

You are correct with the quadrilateral and with the parallelogram.
You are correct in not picking trapezoid.

The only remaining question is about the kite.
What exactly is a kite?

Answer 6

a rhombus

Answer 7

Not necessarily.
A kite is a quadrilateral that has two pairs of adjacent sides congruent.

Answer 8

thanks

Answer 9

See the quadrilateral drawn above.
The two upper adjacent sides are congruent.
The two lower adjacent sides are congruent.
According to the definition of a kite, it is a kite since it has two pairs of congruent adjacent sides.
If the upper two sides are not congruent to the lower tow sides, then it is not a rhombus since a rhombus must have all 4 sides congruent.

Answer 10

We're not done.
Can all 4 sides of a kite be congruent?
The definition does not state that one pair of congruent sides and the other pair of congruent sides must not be congruent, so they can be congruent.
In the case of a kite in which the the two pairs of congruent sides are all congruent, then all sides are congruent, and the kite is a rhombus.
That means that every rhombus is a kite, but not every kite is a rhombus.

Answer 11

Answer is B, C, D.