Let's solve each of the first four questions from your "Composing 2D Shapes" quiz step by step. I'll analyze the images and explain the reasoning behind each answer.
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Question 1:
Image Description:
A shape made up of:
- A central orange square.
- Two green right triangles on either side of the square, attached to its vertical sides.
What shape is composed here?
Let’s analyze:
- The two green triangles are right triangles.
- They are placed such that their hypotenuses form the top and bottom slanted sides.
- When combined with the square in the middle, the overall shape has:
- One long base (bottom),
- One shorter top,
- Two non-parallel sides (slanted),
- And one pair of parallel sides (top and bottom).
This matches the definition of a
trapezoid — a quadrilateral with at least one pair of parallel sides.
✔ Answer: B) trapezoid
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Question 2:
Image Description:
Two right triangles (one red, one purple), joined along their hypotenuses to form a larger triangle.
What shape is composed here?
- Two right triangles sharing a common hypotenuse form a larger triangle.
- The result is a
triangle, specifically an isosceles triangle if both original triangles are congruent.
✔ Answer: A) triangle
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Question 3:
Image Description:
Two trapezoids stacked vertically:
- Top pink trapezoid (narrower at the bottom).
- Bottom yellow trapezoid (wider at the bottom).
- Together they form a six-sided polygon.
Let’s count the sides:
- The top has 2 horizontal sides and 2 slanted sides.
- The bottom also contributes 2 slanted sides.
- But where they join, the middle edge is internal and not part of the outer boundary.
So total outer edges:
- Top: 1 (horizontal)
- Sides: 4 slanted (2 from top, 2 from bottom)
- Bottom: 1 (horizontal)
Wait — let's trace it carefully:
Actually, the resulting shape has:
- 6 sides: 2 top, 2 bottom, and 2 slanted sides connecting them?
No — look again.
Actually, when two trapezoids are joined like this (one upside down), they form a
hexagon.
Each trapezoid has 4 sides. But when joined, one side is shared (internal), so total external sides = 4 + 4 − 2 = 6.
Yes — 6 sides →
hexagon
✔ Answer: B) hexagon
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Question 4:
Image Description:
Two rectangles (blue and purple) placed side by side horizontally.
They share a vertical edge, forming a larger rectangle.
- Both have equal height.
- Combined width is twice as wide.
- All angles are 90°.
- Opposite sides are equal and parallel.
This forms a
rectangle.
Note: It's not a square unless both original rectangles are squares and same size — but we can’t assume that. However, since the problem shows two rectangles side by side, and no indication they are squares, the most accurate answer is
rectangle.
✔ Answer: A) rectangle
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✔ Final Answers:
1.
B) trapezoid
2.
A) triangle
3.
B) hexagon
4.
A) rectangle
Let me know if you'd like help with the remaining questions (5–9)!
Parent Tip: Review the logic above to help your child master the concept of composing and decomposing shapes worksheet.