Let’s go step by step to match each property with the correct quadrilateral.
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1. Have one pair of parallel sides
→ This is the definition of a
trapezoid.
Looking at the shapes:
- (c) Trapezoid — yes, only top and bottom are parallel.
✔ Match:
1 → (c)
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2. Have two pairs of opposite parallel sides
→ This describes a
parallelogram.
All parallelograms have this. Rectangle, square, rhombus also do — but we pick the general shape labeled “Parallelogram”.
→ (b) Parallelogram fits perfectly.
✔ Match:
2 → (b)
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3. Have four right angles and all the sides are of same length.
→ Four right angles + all sides equal =
Square
→ (d) Square has 4 right angles and all sides equal.
Wait — let’s check:
Actually, looking again:
(d) is labeled “Square” — yes, it has 4 right angles and all sides equal.
But wait — (e) Rhombus has all sides equal but NOT necessarily right angles.
So for #3: must be
Square → (d)
✔ Match:
3 → (d)
Hold on — let me double-check the labels in the image:
The shapes are labeled as:
(a) Rectangle
(b) Parallelogram
(c) Trapezoid
(d) Square
(e) Rhombus
Yes — so (d) is Square → matches #3.
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4. Have four right angles and the opposite sides are parallel and of same length
→ Four right angles → rectangle or square
→ Opposite sides parallel and same length → true for both, but doesn’t say *all* sides equal → so it’s
Rectangle
→ (a) Rectangle fits.
✔ Match:
4 → (a)
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5. Have two pairs of parallel sides and all sides are of same length.
→ Two pairs of parallel sides → parallelogram family
→ All sides same length → that’s a
Rhombus (or square, but square already used)
→ (e) Rhombus — yes, all sides equal, and opposite sides parallel.
✔ Match:
5 → (e)
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Now let’s list what we have:
1 → (c) Trapezoid
2 → (b) Parallelogram
3 → (d) Square
4 → (a) Rectangle
5 → (e) Rhombus
That uses all options once — perfect.
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6. State the differences between a rectangle and a parallelogram
Think about properties:
- Both have two pairs of opposite parallel sides.
- Both have opposite sides equal.
- BUT: A
rectangle always has
four right angles.
- A
parallelogram does NOT need to have right angles — its angles can be any measure, as long as opposite angles are equal and consecutive angles add to 180°.
Also: In a rectangle, diagonals are equal. In a general parallelogram, they are not necessarily equal.
Simple difference for student:
> A rectangle is a special kind of parallelogram where all angles are 90 degrees. A regular parallelogram can have slanted angles — like a pushed-over rectangle.
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Final Answer:
1 → (c)
2 → (b)
3 → (d)
4 → (a)
5 → (e)
6 → A rectangle has four right angles, while a parallelogram does not necessarily have right angles. Also, in a rectangle, the diagonals are equal; in a general parallelogram, they are not.
Parent Tip: Review the logic above to help your child master the concept of classifying quadrilaterals worksheet 4th grade.
