QUESTION IMAGE
Question
pick all the big shapes you can make with these two small shapes.
you are allowed to turn the small shapes.
Analyze the given small shapes
The two small shapes provided at the top are:
- A rectangle (with four right angles).
- An isosceles trapezoid (with a shorter top base, a longer bottom base, and two slanted sides).
Evaluate the first option
The first big shape has a flat horizontal bottom, vertical sides going up, and then slanted sides that taper inward to a flat horizontal top.
- If we place the rectangle at the bottom, its top edge matches the longer bottom base of the trapezoid.
- Placing the trapezoid directly on top of the rectangle creates exactly this combined shape.
- Therefore, this shape can be made with the two small shapes.
Evaluate the second option
The second big shape is a T-like shape made of two perpendicular or stepped rectangular blocks.
- It consists entirely of horizontal and vertical edges meeting at right angles.
- Since one of our starting shapes is a trapezoid with slanted sides, we cannot form a shape with only right angles without leaving a slanted edge exposed or overlapping.
- Therefore, this shape cannot be made with the two small shapes.
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- (A) The first shape (the house-like shape with a trapezoid top and rectangle bottom) (Correct answer)
- (B) The second shape (the T-like shape made of two rectangular blocks)