Educational worksheet for identifying and matching quadrilateral shapes with their definitions.
Worksheet titled "Quadrilaterals have four sides" with shapes to name and definitions to match, including kite, square, rhombus, parallelogram, rectangle, and trapezium.
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Step-by-step solution for: Quadrilateral - Studyladder Interactive Learning Games
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Show Answer Key & Explanations
Step-by-step solution for: Quadrilateral - Studyladder Interactive Learning Games
Let’s go step by step to match each shape with its correct name and definition.
We are given 6 shapes on the left, and 6 definitions on the right. We need to:
1. Name each quadrilateral (from the word bank: kite, square, rhombus, parallelogram, rectangle, trapezium)
2. Match it to the correct definition
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Shape 1: Square
- Looks like a perfect box — all sides equal, all angles right angles.
- Definition that matches: “Four equal sides and four right angles.” → This is the third definition from top on the right.
✔ So: Shape 1 = square, matched to definition #3.
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Shape 2: Trapezium
- Only one pair of parallel sides (top and bottom), other two sides slant inward.
- Definition: “One pair of parallel sides and the other pair not parallel.” → Fourth definition.
✔ So: Shape 2 = trapezium, matched to definition #4.
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Shape 3: Parallelogram
- Opposite sides are parallel and equal, but no right angles necessarily. Angles can be slanted.
- Definition: “Both pairs of opposite sides are parallel and equal. Opposite angles are equal.” → Last definition.
✔ So: Shape 3 = parallelogram, matched to definition #6.
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Shape 4: Rectangle
- Like a stretched square — opposite sides equal, all angles right angles.
- Definition: “Two pairs of equal and parallel sides and four right angles.” → First definition.
✔ So: Shape 4 = rectangle, matched to definition #1.
*(Note: The dashed line in the image already connects this shape to the first definition — so we’re confirming that.)*
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Shape 5: Rhombus
- All sides equal, but angles are NOT right angles — looks like a tilted square.
- Definition: “Four equal parallel sides with no right angles.” → Second definition.
✔ So: Shape 5 = rhombus, matched to definition #2.
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Shape 6: Kite
- Two short sides equal, two long sides equal, usually symmetrical vertically. Can’t have more than one right angle typically.
- Definition: “Two short sides equal in length and two long sides equal in length. Can’t have more than one right angle.” → Fifth definition.
✔ So: Shape 6 = kite, matched to definition #5.
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Now let’s list them in order from top to bottom for the “Name these quadrilaterals” section:
1. Square
2. Trapezium
3. Parallelogram
4. Rectangle
5. Rhombus
6. Kite
And matching definitions (by position):
- Square → “Four equal sides and four right angles.”
- Trapezium → “One pair of parallel sides and the other pair not parallel.”
- Parallelogram → “Both pairs of opposite sides are parallel and equal. Opposite angles are equal.”
- Rectangle → “Two pairs of equal and parallel sides and four right angles.”
- Rhombus → “Four equal parallel sides with no right angles.”
- Kite → “Two short sides equal in length and two long sides equal in length. Can’t have more than one right angle.”
All match correctly.
Final Answer:
Names (top to bottom):
1. square
2. trapezium
3. parallelogram
4. rectangle
5. rhombus
6. kite
Matching definitions (left shape to right definition):
- square ↔ Four equal sides and four right angles.
- trapezium ↔ One pair of parallel sides and the other pair not parallel.
- parallelogram ↔ Both pairs of opposite sides are parallel and equal. Opposite angles are equal.
- rectangle ↔ Two pairs of equal and parallel sides and four right angles.
- rhombus ↔ Four equal parallel sides with no right angles.
- kite ↔ Two short sides equal in length and two long sides equal in length. Can’t have more than one right angle.
We are given 6 shapes on the left, and 6 definitions on the right. We need to:
1. Name each quadrilateral (from the word bank: kite, square, rhombus, parallelogram, rectangle, trapezium)
2. Match it to the correct definition
---
Shape 1: Square
- Looks like a perfect box — all sides equal, all angles right angles.
- Definition that matches: “Four equal sides and four right angles.” → This is the third definition from top on the right.
✔ So: Shape 1 = square, matched to definition #3.
---
Shape 2: Trapezium
- Only one pair of parallel sides (top and bottom), other two sides slant inward.
- Definition: “One pair of parallel sides and the other pair not parallel.” → Fourth definition.
✔ So: Shape 2 = trapezium, matched to definition #4.
---
Shape 3: Parallelogram
- Opposite sides are parallel and equal, but no right angles necessarily. Angles can be slanted.
- Definition: “Both pairs of opposite sides are parallel and equal. Opposite angles are equal.” → Last definition.
✔ So: Shape 3 = parallelogram, matched to definition #6.
---
Shape 4: Rectangle
- Like a stretched square — opposite sides equal, all angles right angles.
- Definition: “Two pairs of equal and parallel sides and four right angles.” → First definition.
✔ So: Shape 4 = rectangle, matched to definition #1.
*(Note: The dashed line in the image already connects this shape to the first definition — so we’re confirming that.)*
---
Shape 5: Rhombus
- All sides equal, but angles are NOT right angles — looks like a tilted square.
- Definition: “Four equal parallel sides with no right angles.” → Second definition.
✔ So: Shape 5 = rhombus, matched to definition #2.
---
Shape 6: Kite
- Two short sides equal, two long sides equal, usually symmetrical vertically. Can’t have more than one right angle typically.
- Definition: “Two short sides equal in length and two long sides equal in length. Can’t have more than one right angle.” → Fifth definition.
✔ So: Shape 6 = kite, matched to definition #5.
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Now let’s list them in order from top to bottom for the “Name these quadrilaterals” section:
1. Square
2. Trapezium
3. Parallelogram
4. Rectangle
5. Rhombus
6. Kite
And matching definitions (by position):
- Square → “Four equal sides and four right angles.”
- Trapezium → “One pair of parallel sides and the other pair not parallel.”
- Parallelogram → “Both pairs of opposite sides are parallel and equal. Opposite angles are equal.”
- Rectangle → “Two pairs of equal and parallel sides and four right angles.”
- Rhombus → “Four equal parallel sides with no right angles.”
- Kite → “Two short sides equal in length and two long sides equal in length. Can’t have more than one right angle.”
All match correctly.
Final Answer:
Names (top to bottom):
1. square
2. trapezium
3. parallelogram
4. rectangle
5. rhombus
6. kite
Matching definitions (left shape to right definition):
- square ↔ Four equal sides and four right angles.
- trapezium ↔ One pair of parallel sides and the other pair not parallel.
- parallelogram ↔ Both pairs of opposite sides are parallel and equal. Opposite angles are equal.
- rectangle ↔ Two pairs of equal and parallel sides and four right angles.
- rhombus ↔ Four equal parallel sides with no right angles.
- kite ↔ Two short sides equal in length and two long sides equal in length. Can’t have more than one right angle.
Parent Tip: Review the logic above to help your child master the concept of printable worksheet on quadrilaterals.