Let's solve the
Classifying Quadrilaterals Worksheet step by step.
We are given 8 quadrilaterals (4-sided shapes), and we need to classify each based on its shape. Here’s a quick review of common quadrilateral types:
Types of Quadrilaterals:
1.
Trapezoid: One pair of opposite sides is parallel.
2.
Rectangle: Four right angles, opposite sides equal and parallel.
3.
Square: All sides equal, all angles 90°, special case of rectangle and rhombus.
4.
Parallelogram: Opposite sides are parallel and equal.
5.
Rhombus: All four sides equal, opposite sides parallel, opposite angles equal.
6.
Kite: Two pairs of adjacent sides are equal.
7.
Irregular Quadrilateral: No special properties (no parallel sides or equal sides).
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Now let’s analyze each shape:
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1.
- Shape: One pair of parallel sides (top and bottom), non-parallel sides slanted.
- This is a
trapezoid.
-
✔ Answer: Trapezoid
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2.
- Shape: Four right angles, opposite sides equal and parallel, longer than it is tall.
- This is a
rectangle.
-
✔ Answer: Rectangle
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3.
- Shape: One pair of parallel sides (top and bottom), with the top shorter than the bottom. The non-parallel sides are not equal.
- This is also a
trapezoid.
-
✔ Answer: Trapezoid
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4.
- Shape: Opposite sides are parallel and equal, but angles are not 90°.
- This is a
parallelogram.
-
✔ Answer: Parallelogram
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5.
- Shape: All sides equal, all angles 90°.
- This is a
square.
-
✔ Answer: Square
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6.
- Shape: A kite-like figure — two pairs of adjacent sides equal, one pair of opposite angles equal.
- It has two pairs of adjacent equal sides, and one diagonal is a line of symmetry.
- This is a
kite.
-
✔ Answer: Kite
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7.
- Shape: All four sides equal, but angles are not 90°. Opposite sides are parallel.
- This is a
rhombus.
-
✔ Answer: Rhombus
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8.
- Shape: Four right angles, opposite sides equal and parallel, but height > width.
- This is a
rectangle.
-
✔ Answer: Rectangle
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✔ Final Answers:
| Number | Classification |
|--------|--------------------|
| 1 | Trapezoid |
| 2 | Rectangle |
| 3 | Trapezoid |
| 4 | Parallelogram |
| 5 | Square |
| 6 | Kite |
| 7 | Rhombus |
| 8 | Rectangle |
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Summary:
-
Trapezoids: 1, 3
-
Rectangles: 2, 8
-
Parallelogram: 4
-
Square: 5
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Kite: 6
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Rhombus: 7
Let me know if you’d like this formatted for printing or need explanations for any specific shape!
Parent Tip: Review the logic above to help your child master the concept of quadrilateral shapes worksheet.