Identify the type of each quadrilateral in this geometry worksheet.
Worksheet identifying types of quadrilaterals with 12 labeled shapes, each marked with side and angle indicators, for students to classify.
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Show Answer Key & Explanations
Step-by-step solution for: Geometry Worksheets | Polygons Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Geometry Worksheets | Polygons Worksheets
Let’s go through each shape one by one and figure out what kind of quadrilateral it is, based on the markings.
Remember:
- A parallelogram has two pairs of parallel sides (marked with arrows or tick marks showing equal opposite sides).
- A rectangle is a parallelogram with four right angles (marked with little squares at corners).
- A rhombus is a parallelogram with all four sides equal (all sides have same tick mark).
- A square is both a rectangle and a rhombus — all sides equal AND all angles are right angles.
- A trapezoid has only one pair of parallel sides.
- An irregular quadrilateral has no special properties — no parallel sides, no equal sides, no right angles.
Now let’s analyze each:
1) Shape 1: Opposite sides marked equal (two different tick marks for two pairs). No right angles shown. → This is a parallelogram.
2) Shape 2: All sides equal (same tick mark), and all corners have right angle symbols. → This is a square.
3) Shape 3: No markings at all — no equal sides, no parallel sides indicated, no right angles. → This is an irregular quadrilateral.
4) Shape 4: Two pairs of opposite sides marked equal (different tick marks for each pair). No right angles. → This is a parallelogram.
5) Shape 5: Again, no markings — looks like a random four-sided shape. → Irregular quadrilateral.
6) Shape 6: Only one side has double ticks, others single — not matching pairs. No parallel indicators. Looks irregular. → Irregular quadrilateral.
7) Shape 7: All sides equal (same tick), and all corners have right angle symbols. → This is a square.
8) Shape 8: Two pairs of opposite sides equal (different tick marks per pair). No right angles. → Parallelogram.
9) Shape 9: One pair of sides marked equal? Wait — actually, looking closely: top and bottom have red dots — maybe indicating they’re parallel? But no tick marks for equality. Actually, in many worksheets, if only one pair of sides is marked as parallel (sometimes with arrows, sometimes implied), it’s a trapezoid. Here, since only top and bottom seem to be highlighted (red dots might mean “these are the bases”), and legs are unequal → likely a trapezoid.
Wait — rechecking: In some systems, red dots on midpoints indicate those sides are parallel. So yes — one pair of parallel sides → trapezoid.
10) Shape 10: All sides equal (tick marks), all corners have right angles → square.
11) Shape 11: Same as #1 and #4 — opposite sides equal, no right angles → parallelogram.
12) Shape 12: Similar to #6 — mixed tick marks, no clear pattern → irregular quadrilateral.
Double-checking:
- Squares: #2, #7, #10 → correct.
- Parallelograms: #1, #4, #8, #11 → correct.
- Trapezoid: #9 → yes, because only one pair of parallel sides (implied by red dots on top/bottom).
- Irregular: #3, #5, #6, #12 → yes, no consistent markings.
Final list:
1) Parallelogram
2) Square
3) Irregular quadrilateral
4) Parallelogram
5) Irregular quadrilateral
6) Irregular quadrilateral
7) Square
8) Parallelogram
9) Trapezoid
10) Square
11) Parallelogram
12) Irregular quadrilateral
All verified.
Final Answer:
1) Parallelogram
2) Square
3) Irregular quadrilateral
4) Parallelogram
5) Irregular quadrilateral
6) Irregular quadrilateral
7) Square
8) Parallelogram
9) Trapezoid
10) Square
11) Parallelogram
12) Irregular quadrilateral
Remember:
- A parallelogram has two pairs of parallel sides (marked with arrows or tick marks showing equal opposite sides).
- A rectangle is a parallelogram with four right angles (marked with little squares at corners).
- A rhombus is a parallelogram with all four sides equal (all sides have same tick mark).
- A square is both a rectangle and a rhombus — all sides equal AND all angles are right angles.
- A trapezoid has only one pair of parallel sides.
- An irregular quadrilateral has no special properties — no parallel sides, no equal sides, no right angles.
Now let’s analyze each:
1) Shape 1: Opposite sides marked equal (two different tick marks for two pairs). No right angles shown. → This is a parallelogram.
2) Shape 2: All sides equal (same tick mark), and all corners have right angle symbols. → This is a square.
3) Shape 3: No markings at all — no equal sides, no parallel sides indicated, no right angles. → This is an irregular quadrilateral.
4) Shape 4: Two pairs of opposite sides marked equal (different tick marks for each pair). No right angles. → This is a parallelogram.
5) Shape 5: Again, no markings — looks like a random four-sided shape. → Irregular quadrilateral.
6) Shape 6: Only one side has double ticks, others single — not matching pairs. No parallel indicators. Looks irregular. → Irregular quadrilateral.
7) Shape 7: All sides equal (same tick), and all corners have right angle symbols. → This is a square.
8) Shape 8: Two pairs of opposite sides equal (different tick marks per pair). No right angles. → Parallelogram.
9) Shape 9: One pair of sides marked equal? Wait — actually, looking closely: top and bottom have red dots — maybe indicating they’re parallel? But no tick marks for equality. Actually, in many worksheets, if only one pair of sides is marked as parallel (sometimes with arrows, sometimes implied), it’s a trapezoid. Here, since only top and bottom seem to be highlighted (red dots might mean “these are the bases”), and legs are unequal → likely a trapezoid.
Wait — rechecking: In some systems, red dots on midpoints indicate those sides are parallel. So yes — one pair of parallel sides → trapezoid.
10) Shape 10: All sides equal (tick marks), all corners have right angles → square.
11) Shape 11: Same as #1 and #4 — opposite sides equal, no right angles → parallelogram.
12) Shape 12: Similar to #6 — mixed tick marks, no clear pattern → irregular quadrilateral.
Double-checking:
- Squares: #2, #7, #10 → correct.
- Parallelograms: #1, #4, #8, #11 → correct.
- Trapezoid: #9 → yes, because only one pair of parallel sides (implied by red dots on top/bottom).
- Irregular: #3, #5, #6, #12 → yes, no consistent markings.
Final list:
1) Parallelogram
2) Square
3) Irregular quadrilateral
4) Parallelogram
5) Irregular quadrilateral
6) Irregular quadrilateral
7) Square
8) Parallelogram
9) Trapezoid
10) Square
11) Parallelogram
12) Irregular quadrilateral
All verified.
Final Answer:
1) Parallelogram
2) Square
3) Irregular quadrilateral
4) Parallelogram
5) Irregular quadrilateral
6) Irregular quadrilateral
7) Square
8) Parallelogram
9) Trapezoid
10) Square
11) Parallelogram
12) Irregular quadrilateral
Parent Tip: Review the logic above to help your child master the concept of identifying quadrilaterals.
