Here’s the completed worksheet with answers and explanations:
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a. Rhombus
*Explanation:* This quadrilateral has all four sides of equal length, but its angles are not right angles. That matches the definition of a rhombus.
b. Trapezoid
*Explanation:* This shape has only one pair of parallel sides (the top and bottom), which is the defining feature of a trapezoid.
c. Square
*Explanation:* All four sides are equal in length, and all four angles are right angles — this fits the definition of a square.
d. Rectangle
*Explanation:* Opposite sides are equal and parallel, and all four angles are right angles — this is a rectangle.
e. Parallelogram
*Explanation:* It has two pairs of parallel sides, but the angles are not right angles and the sides are not all equal — so it’s a parallelogram (but not a rectangle or rhombus).
f. Trapezoid
*Explanation:* Again, only one pair of parallel sides (top and bottom) — this is another trapezoid.
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g. How can you tell the difference between a parallelogram and a trapezoid?
> A
parallelogram has
two pairs of parallel sides, while a
trapezoid has
only one pair of parallel sides.
*Additional note:* In some regions (like the UK), a trapezoid is defined as having *no* parallel sides, and a trapezium has one pair — but in the U.S. (and this worksheet’s context), a trapezoid has exactly one pair of parallel sides.
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h. How can you tell the difference between a square and a rhombus?
> Both have
four equal sides, but a
square also has
four right angles (90°), while a
rhombus does
not necessarily have right angles — its angles can be any measure as long as opposite angles are equal.
*In short:* All squares are rhombuses, but not all rhombuses are squares. The key difference is the presence of right angles.
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✔ Final Answers Summary:
a. Rhombus
b. Trapezoid
c. Square
d. Rectangle
e. Parallelogram
f. Trapezoid
g. Parallelogram has 2 pairs of parallel sides; trapezoid has only 1 pair.
h. Both have 4 equal sides, but square has 4 right angles; rhombus does not.
Let me know if you’d like a visual diagram to go with this!
Parent Tip: Review the logic above to help your child master the concept of quadrilateral worksheet 4th grade.
