Question

pick all the big shapes you can make with these two small shapes.
you are allowed to turn the small shapes.

Explanation:

Identify the given small shapes

The two small shapes provided are:

1. A right-angled triangle.
2. A semicircle (half-circle).

We are allowed to rotate or turn these shapes to combine them.

Analyze the first option (left)

Let's look at the first big shape on the left:

• It has a flat horizontal bottom edge.
• The left side rises up at a straight angle, resembling the hypotenuse or a side of the triangle.
• The top and right side form a smooth curved boundary.
• If we place the flat edge of the semicircle against the vertical side of the right triangle, we can form this exact shape. The straight bottom edge consists of the bottom leg of the triangle and the flat edge of the semicircle aligned together.
• Therefore, this shape can be made using the two small shapes.

Analyze the second option (right)

Let's look at the second big shape on the right:

• It has a sharp triangular point pointing upwards and slightly to the right.
• It has a curved bottom boundary.
• There is a horizontal step or "indent" on the left side.
• If we take the right triangle and place its hypotenuse or one of its legs against the flat edge of the semicircle, we can align them such that the curved part of the semicircle is at the bottom, and the triangle points upwards, leaving a small horizontal ledge on the left.
• Therefore, this shape can also be made by turning and joining the two small shapes.

Conclusion

Both of the shown big shapes can be composed using the given right triangle and semicircle.

Answer:

• (A) Left shape (semicircle joined to the side of the triangle) (Correct answer)
• (B) Right shape (triangle joined on top of the semicircle with an offset) (Correct answer)