Question

match the rotations of two - dimensional objects to the three - dimensional objects they form
drag and drop the correct 3d shape to match the two - dimensional object and its rotation.
isosceles triangle: rotated around
its base
circle: rotated around its diameter
rectangle: rotated around one of
its sides
right trapezoid: rotated around its
side perpendicular to the base
sphere frustum cylinder double cone

Explanation:

• When an isosceles triangle is rotated around its base, the two congruent right - angled triangles (formed by splitting the isosceles triangle along the altitude to the base) rotate to form a double - cone.
• When a circle is rotated around its diameter, every point on the circle moves in a circular path around the diameter. The set of all such points forms a sphere.
• When a rectangle is rotated around one of its sides, the side around which it is rotated acts as the axis. The opposite side of the rectangle traces out a circular path, and the entire rectangle forms a cylinder.
• When a right - trapezoid is rotated around its side perpendicular to the base, the non - parallel sides (one of which is the axis of rotation) and the bases form a frustum. The two parallel bases of the trapezoid form the two circular bases of the frustum.

Answer:

• isosceles triangle: rotated around its base - double cone
• circle: rotated around its diameter - sphere
• rectangle: rotated around one of its sides - cylinder
• right trapezoid: rotated around its side perpendicular to the base - frustum