Question

Special Quadrilaterals

4. Which statement is sometimes, but not always, true?


A.
A parallelogram is a rhombus.


B.
A rhombus is a quadrilateral.


C.
A trapezoid is a square.


D.
A square is a rectangle

Answer 1

I think the answer choice is either b or c

Answer 2

Quadrilateral - a 4 sided polygon.
Parallelogram - a quadrilateral with opposite sides parallel.
Rhombus - a parallelogram with 4 congruent sides.
Rectangle - a parallelogram with 4 right angles.
Square - a rectangular rhombus.
Trapezoid - a quadrilateral with exactly 1 pair of side parallel.

Answer 3

Can a trapezoid ever be a square?

Answer 4

no

Answer 5

Correct. Then c can't be the answer bec you are looking for something that can be true sometimes.

Answer 6

Is a square a rectangle?

Answer 7

no

Answer 8

Be careful. Look at the definitions above.

Answer 9

A square always is a parallelogram and always has 4 right angles, so every square is a rectangle.

Answer 10

oh ok

Answer 11

That means d can't be the answer, because it is always true. You are looking for a statement that is only sometimes true.

Answer 12

c and d are out.
Now let's look at a and b.

Answer 13

How many side does a rhombus have?

Answer 14

4

Answer 15

Correct. This is always true. That means a rhombus is always a quadrilateral. That means choice b is out.

Answer 16

a rhombus is always a parallelogram

Answer 17

Yes, but notice how choice a is worded.

Answer 18

oh ok

Answer 19

Choice a reads: A parallelogram is a rhombus.
A rhombus is a parallelogram with 4 congruent sides.
A parallelogram does not have to have 4 congruent sides.
You can have a parallelogram with 4 congruent sides, or without 4 congruent sides.
That means choice a is only sometimes true but not always.

Answer 20

ok i get it now. thanks

Answer 21

wlcm