Quadrilaterals (with Answer Key) | LoveToTeach.org - Free Printable

Let’s go step by step to solve each part of the worksheet.

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Part a:
The shape is a four-sided figure with all sides equal and opposite angles equal — but no right angles shown. That matches the definition of a rhombus (two pairs of parallel sides, all sides same length).

→ Answer: Rhombus

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Part b:
This shape has only one pair of parallel sides (top and bottom). The other two sides are not parallel. That’s the definition of a trapezoid.

→ Answer: Trapezoid

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Part c:
This looks like a square that’s been rotated. All sides appear equal, and it has four right angles (even though it’s tilted). So it’s still a square.

→ Answer: Square

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Part d:
This is a tall rectangle — opposite sides equal and parallel, four right angles. Definitely a rectangle.

→ Answer: Rectangle

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Part e:
Opposite sides are parallel and equal in length, but no right angles. This fits the definition of a parallelogram.

→ Answer: Parallelogram

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Part f:
Only one pair of parallel sides (the top and bottom). The left and right sides slant inward — so again, this is a trapezoid.

→ Answer: Trapezoid

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Part g: How can you tell the difference between a parallelogram and a trapezoid?

- A parallelogram has two pairs of parallel sides.
- A trapezoid has only one pair of parallel sides.

So, count how many pairs of opposite sides are parallel. If it’s two → parallelogram. If it’s one → trapezoid.

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Part h: How can you tell the difference between a rectangle and a rhombus?

- A rectangle has four right angles (90°), and opposite sides are equal.
- A rhombus has all four sides equal in length, but its angles are NOT necessarily right angles.

Also note: A square is both a rectangle AND a rhombus — because it has four right angles AND four equal sides.

But if you see a shape with four equal sides and NO right angles → it’s a rhombus.
If you see a shape with four right angles and opposite sides equal → it’s a rectangle.

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Final Answer:

a. Rhombus
b. Trapezoid
c. Square
d. Rectangle
e. Parallelogram
f. Trapezoid

g. A parallelogram has two pairs of parallel sides, while a trapezoid has only one pair of parallel sides.

h. A rectangle has four right angles and opposite sides equal; a rhombus has all four sides equal but does not need to have right angles.