Question

(10 points)

Answer 1

Answer 1: Cone =e. shape created when a right triangle is rotated about the y-axis

A cone (straight cone) is a solid generated by the rotation of a right triangle around one of its legs, the base of this solid being a circle.

Its important parts are:

-The axis, which becomes the fixed leg around which the triangle rotates to form the cone.

-The height, which is the distance between the vertex and the base.

-The generatrix, which becomes the hypotenuse of the right triangle.

Answer 2: Rectangle =b. perpendicular cross section of a cylinder  

A rectangle is a parallelogram whose four sides form right angles ($90\°$).

It should be noted that two pairs of sides that make up the retangle are parallel respectively and the opposite sides have the same length. In addition, its perimeter is equal to the sum of all its sides.

In addition, a rectangle is the figure obtained when we make a perpendicular cross section of a cylinder.

Answer 3: Triangle =a. perpendicular cross section of a pyramid  

A triangle is a geometric figure (polygon) with three sides and three interior angles, which sum to $180\°$.  In addition, a triangle has three vertices (points where two of its sides meet or intersect).

Note, if we make a perpendicular cross section of a pyramid, we will get a plane shaped as a triangle.

Answer 4: Circle =c.parallel cross section of a sphere  

A circle is a flat surface limited by a curved line called circumference. The circumference being the geometric place of the points that are equidistant from the center.

In addition, if we make a parallel cross section of a sphere, the resulting plane will be a circle.

Answer 5: Cylinder =d. shape created when a rectangle is rotated about the y-axis

A (circular) cylinder is a geometric body formed by a curved and closed lateral surface and two parallel planes that form its bases.

It should be noted that cylinders are formed when a rectangle rotates around one of its sides.