True or False: What Is This Shape? | 5th Grade Geometry Worksheets - Free Printable

Let’s go shape by shape and check each statement.

We’ll use simple rules:
- A square has 4 equal sides and 4 right angles.
- A rectangle has 4 right angles, opposite sides equal (but not all 4 sides need to be equal).
- A parallelogram has 2 pairs of parallel sides. Opposite sides are equal. Angles don’t have to be right angles.
- A rhombus has 4 equal sides. Opposite sides are parallel. Angles don’t have to be right angles.
- A quadrilateral is any shape with 4 sides. All the above shapes are quadrilaterals!

Now let’s look at each row:

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Row 1: Parallelogram (slanted rectangle)
→ Is it a square? No — sides aren’t all equal, and angles aren’t 90°. → False
→ Is it a rhombus? No — sides aren’t all equal. → False
→ Is it a rectangle? No — angles aren’t 90°. → False
→ Is it a parallelogram? Yes — two pairs of parallel sides. → True
→ Is it a quadrilateral? Yes — it has 4 sides. → True

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Row 2: Rectangle (long horizontal box)
→ Square? No — sides aren’t all equal. → False
→ Rhombus? No — sides aren’t all equal. → False
→ Rectangle? Yes — 4 right angles, opposite sides equal. → True
→ Parallelogram? Yes — rectangles are special parallelograms. → True
→ Quadrilateral? Yes — 4 sides. → True

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Row 3: Rhombus (diamond shape, tilted square but not necessarily right angles)
Wait — this looks like a rhombus that is NOT a square (angles aren’t 90°).
→ Square? Only if all angles are 90° — they’re not here. → False
→ Rhombus? Yes — 4 equal sides, opposite sides parallel. → True
→ Rectangle? No — angles aren’t 90°. → False
→ Parallelogram? Yes — rhombuses are parallelograms. → True
→ Quadrilateral? Yes — 4 sides. → True

*(Note: If this were a square, it would also be a rhombus and rectangle — but visually, it’s drawn as a non-right-angle rhombus.)*

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Row 4: Square (perfect box with equal sides and right angles)
→ Square? Yes. → True
→ Rhombus? Yes — squares are special rhombuses (all sides equal + parallel). → True
→ Rectangle? Yes — squares are special rectangles (all angles 90°). → True
→ Parallelogram? Yes — squares are parallelograms. → True
→ Quadrilateral? Yes. → True

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Row 5: Kite or irregular quadrilateral (looks like a dart or arrowhead)
This shape has 4 sides, but no parallel sides? Let’s check:
Actually, looking closely — it might be a kite or just an irregular quad. But definitely NOT a parallelogram, rectangle, rhombus, or square.
→ Square? No. → False
→ Rhombus? No — sides not all equal, no parallel sides likely. → False
→ Rectangle? No. → False
→ Parallelogram? No — no pair of parallel sides visible. → False
→ Quadrilateral? YES — still has 4 sides! → True

*(Important: Even weird 4-sided shapes are quadrilaterals!)*

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Row 6: Triangle (3 sides!)
→ Square? No — only 3 sides. → False
→ Rhombus? No — needs 4 sides. → False
→ Rectangle? No — 3 sides. → False
→ Parallelogram? No — needs 4 sides. → False
→ Quadrilateral? NO — quadrilaterals must have 4 sides. This has 3. → False

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Final Answer:

Row 1: False, False, False, True, True
Row 2: False, False, True, True, True
Row 3: False, True, False, True, True
Row 4: True, True, True, True, True
Row 5: False, False, False, False, True
Row 6: False, False, False, False, False