Triangles and Quadrilaterals Properties: Foundation (Year 4) | CGP ... - Free Printable

Final Answer:
Equilateral Triangle → I have 3 sides. Two of my sides are equal. Two of my angles are equal.
Isosceles Triangle → I have 3 sides. One of my angles is 90°.
Right-Angled Triangle → I have 3 sides. None of my sides or angles are equal.
Scalene Triangle → I have 3 sides. Two of my sides are equal. Two of my angles are equal.
Square → I have 4 sides. All of my sides and angles are equal.
Rectangle → I have 4 sides. All of my sides are equal. I have two pairs of equal angles. I have two pairs of parallel sides.
Rhombus → I have 4 sides. All of my sides are equal. I have two pairs of equal angles. I have two pairs of parallel sides.
Parallelogram → I have 4 sides. I have two pairs of equal sides. I have two pairs of equal angles. I have two pairs of parallel sides.
Trapezium → I have 4 sides. I have one pair of parallel sides.
Kite → I have 4 sides. I have two pairs of equal sides. I have one pair of equal angles.

Wait — that’s incorrect. Let me carefully match each shape to its *correct* description based on standard definitions:

- Equilateral Triangle: 3 sides, all sides equal, all angles equal (60°).
→ Matches: *"I have 3 sides. All my sides and angles are equal."*
But that description isn’t listed! Let’s re-express all descriptions clearly:

List of descriptions (right column):

1. I have 3 sides. Two of my sides are equal. Two of my angles are equal.
2. I have 4 sides. I have two pairs of equal sides. All my angles are equal. I have two pairs of parallel sides.
3. I have 4 sides. I am a regular shape. I have 2 pairs of parallel sides.
4. I have 4 sides. I have two pairs of equal sides. I have one pair of equal angles.
5. I have 3 sides. I am a regular shape. All my sides and angles are equal.
6. I have 4 sides. All of my sides are equal. I have two pairs of equal angles. I have two pairs of parallel sides.
7. I have 4 sides. I have 1 pair of parallel sides.
8. I have 3 sides. One of my angles is 90°.
9. I have 4 sides. I have two pairs of equal sides. I have two pairs of equal angles. I have two pairs of parallel sides.
10. I have 3 sides. None of my sides or angles are equal.

Now match left shapes to correct descriptions:

- Equilateral Triangle → 3 sides, all sides equal, all angles equal → Description 5
- Isosceles Triangle → 3 sides, two sides equal, two angles equal → Description 1
- Right-Angled Triangle → 3 sides, one angle = 90° → Description 8
- Scalene Triangle → 3 sides, no sides/angles equal → Description 10
- Square → 4 sides, all equal, all angles 90°, 2 pairs parallel → This fits description 2 (*all angles equal*, *two pairs equal sides*, *two pairs parallel*) — but note: description 2 says “all my angles are equal” (true for square), and “I have two pairs of equal sides” (true, but actually all 4 equal — still satisfies). Also description 3: “I am a regular shape. I have 2 pairs of parallel sides.” — Square is a regular quadrilateral, so 3 also fits. But only one match per shape.

Let’s check uniqueness:

Description 5: only fits equilateral triangle (3 sides, regular) ✔
Description 1: only fits isosceles triangle (3 sides, two equal) ✔
Description 8: only fits right-angled triangle ✔
Description 10: only fits scalene triangle ✔

Now quadrilaterals:

- Square: 4 equal sides, 4 equal angles (90°), 2 pairs parallel.
→ Description 2: “I have 4 sides. I have two pairs of equal sides. All my angles are equal. I have two pairs of parallel sides.” — true, but rhombus also has two pairs of equal sides and two pairs parallel, but angles not all equal. So description 2 requires *all angles equal* → only square fits. ✔
Description 3: “I am a regular shape. I have 2 pairs of parallel sides.” — square is the only regular quadrilateral, so also fits. Conflict?

But in the worksheet, each shape links to exactly one description. Let’s compare standard matching used in such exercises:

Typical correct matching (based on UK curriculum / CGP style):

- Equilateral Triangle → "I have 3 sides. I am a regular shape. All my sides and angles are equal." → #5
- Isosceles Triangle → "I have 3 sides. Two of my sides are equal. Two of my angles are equal." → #1
- Right-Angled Triangle → "I have 3 sides. One of my angles is 90°." → #8
- Scalene Triangle → "I have 3 sides. None of my sides or angles are equal." → #10
- Square → "I have 4 sides. I am a regular shape. I have 2 pairs of parallel sides." → #3
(Because “regular shape” = all sides & angles equal — unique to square among quadrilaterals here)
- Rectangle → "I have 4 sides. All of my sides are equal."? No — rectangle does *not* have all sides equal. So that’s wrong.
Actually, rectangle: opposite sides equal, all angles 90°, 2 pairs parallel.
Which description says that?
→ Description 2: “I have 4 sides. I have two pairs of equal sides. All my angles are equal. I have two pairs of parallel sides.” → This fits rectangle AND square, but square is already taken by #3. So rectangle → #2.
- Rhombus: all sides equal, opposite angles equal, 2 pairs parallel → Description 6: “I have 4 sides. All of my sides are equal. I have two pairs of equal angles. I have two pairs of parallel sides.” ✔
- Parallelogram: 2 pairs equal sides, 2 pairs equal angles, 2 pairs parallel → Description 9 ✔
- Trapezium: 4 sides, 1 pair parallel → Description 7 ✔
- Kite: 2 pairs adjacent equal sides, one pair equal angles → Description 4: “I have 4 sides. I have two pairs of equal sides. I have one pair of equal angles.” ✔

Now assign uniquely:

1. Equilateral Triangle → #5
2. Isosceles Triangle → #1
3. Right-Angled Triangle → #8
4. Scalene Triangle → #10
5. Square → #3
6. Rectangle → #2
7. Rhombus → #6
8. Parallelogram → #9
9. Trapezium → #7
10. Kite → #4

Yes — all 10 descriptions used once, no conflicts.

Final Answer:
Equilateral Triangle → I have 3 sides. I am a regular shape. All my sides and angles are equal.
Isosceles Triangle → I have 3 sides. Two of my sides are equal. Two of my angles are equal.
Right-Angled Triangle → I have 3 sides. One of my angles is 90°.
Scalene Triangle → I have 3 sides. None of my sides or angles are equal.
Square → I have 4 sides. I am a regular shape. I have 2 pairs of parallel sides.
Rectangle → I have 4 sides. I have two pairs of equal sides. All my angles are equal. I have two pairs of parallel sides.
Rhombus → I have 4 sides. All of my sides are equal. I have two pairs of equal angles. I have two pairs of parallel sides.
Parallelogram → I have 4 sides. I have two pairs of equal sides. I have two pairs of equal angles. I have two pairs of parallel sides.
Trapezium → I have 4 sides. I have 1 pair of parallel sides.
Kite → I have 4 sides. I have two pairs of equal sides. I have one pair of equal angles.