Let’s solve each question one by one, with clear explanations.
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Question 1: Which of the following shapes are quadrilaterals?
>
Definition: A *quadrilateral* is a polygon with
exactly 4 sides.
Let’s examine each shape:
-
A: Looks like a parallelogram (tilted rectangle) →
4 sides →
✔ Quadrilateral
-
B: Square →
4 sides →
✔ Quadrilateral
-
C: Irregular 4-sided shape →
4 sides →
✔ Quadrilateral
-
D: Hexagon →
6 sides →
✘ Not a quadrilateral
-
E: Trapezoid →
4 sides →
✔ Quadrilateral
✔ Correct Answers: A, B, C, E
*(Note: Since this is multiple-choice and likely expects you to select all that apply, but if it's single-select, there may be an error — however, based on standard quiz design for this topic, it’s likely selecting all correct options.)*
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Question 2: Which shape has exactly one pair of parallel sides?
Let’s recall:
-
Rhombus: 2 pairs of parallel sides
-
Parallelogram: 2 pairs of parallel sides
-
Rectangle: 2 pairs of parallel sides
-
Trapezoid:
Exactly one pair of parallel sides (by definition in many curricula, especially 5th grade)
✔ Correct Answer: D — trapezoid
*(Note: In some advanced math, trapezoid can mean “at least one pair,” but in elementary school, especially 5th grade, it usually means “exactly one pair.”)*
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Question 3: A square is _________ a rhombus.
>
Definition: A *rhombus* is a quadrilateral with
all four sides equal.
> A *square* is a quadrilateral with
all four sides equal AND all angles 90°.
→ So,
every square is a rhombus, because it meets the definition of a rhombus (equal sides), plus extra properties.
✔ Correct Answer: B — always
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Question 4: A parallelogram is _________ a rectangle.
>
Definition: A *parallelogram* has
two pairs of parallel sides.
> A *rectangle* is a parallelogram with
all angles 90°.
→ So,
not all parallelograms are rectangles — only those with right angles.
Example: A slanted parallelogram (like a diamond shape) is NOT a rectangle.
✔ Correct Answer: A — sometimes
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Question 5: A quadrilateral is _________ a hexagon.
> A *quadrilateral* has
4 sides.
> A *hexagon* has
6 sides.
→ These are completely different polygons. A shape cannot be both 4-sided and 6-sided at the same time.
✔ Correct Answer: B — never
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✔ Final Answers:
1.
A, B, C, E
2.
D
3.
B
4.
A
5.
B
Let me know if you’d like these explained further or turned into a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of quadrilateral worksheet 5th grade.