Let’s go step by step to solve each question.
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Question 1: Identify all the rectangles.
A rectangle is a four-sided shape with:
- Opposite sides equal and parallel
- All angles are right angles (90 degrees)
Look at each option:
- A) Pentagon → 5 sides → not a rectangle
- B) Diamond/rhombus → 4 sides, but angles are not necessarily 90° → not always a rectangle (unless it’s a square, but this looks tilted)
- C) Hexagon → 6 sides → no
- D) Square → actually a special type of rectangle! Yes — squares have all properties of rectangles.
- E) Rectangle → clearly yes
- F) Another rectangle → yes
Wait — let’s double-check B. Is it a rhombus or a rotated square? In most elementary worksheets, if it’s drawn as a diamond without right angles marked, we assume it’s NOT a rectangle unless specified. But D is a square — which IS a rectangle.
So rectangles: D, E, F
But wait — sometimes teachers expect only “non-square” rectangles? No — mathematically, squares ARE rectangles. So include D.
Actually, looking again: Option B is a rhombus (diamond shape), not a rectangle. Option D is a square — which is a rectangle. E and F are obvious rectangles.
✔ So answer for Q1:
D, E, F
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Question 2: Identify all the triangles.
Triangle = 3-sided polygon.
Check each:
- A) Triangle → yes
- B) Trapezoid → 4 sides → no
- C) Parallelogram → 4 sides → no
- D) Right triangle → yes (still a triangle!)
- E) Triangle → yes
- F) Pentagon-like? Wait — it has 5 sides? Actually, looks like a house shape — 5 sides → no
Wait — F: Let me count — bottom base, two slanted sides up, then a flat top? That’s 5 sides → pentagon → not triangle.
So triangles: A, D, E
✔ Answer for Q2:
A, D, E
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Question 3: What word best describes the shape?
Shape shown: 4 sides, one pair of parallel sides (top and bottom), non-parallel legs → that’s a trapezoid.
Options:
a) Rectangle → needs 2 pairs of parallel sides + right angles → no
b) Trapezoid → yes — exactly matches
c) Square → no
✔ Answer for Q3:
b) Trapezoid
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Question 4: What word best describes the shape?
Shape shown: 3 sides → triangle. Even though it’s pointing down, still a triangle.
Options:
a) Rectangle → 4 sides → no
b) Square → 4 equal sides → no
c) Triangle → yes
✔ Answer for Q4:
c) Triangle
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Final Answer:
1. D, E, F
2. A, D, E
3. b) Trapezoid
4. c) Triangle
Parent Tip: Review the logic above to help your child master the concept of math geometry worksheet.