Question

A square pyramid is sliced so that the cross section is perpendicular to its base. The cross section intersects the vertex of the pyramid. What is the shape of the cross section?

Question 1 options:

Trapezoid

Triangle

Square

Pentagon

Answer 1

Option (b) is correct.

Triangle is the shape of the cross section.

Explanation:

Given : A square pyramid is sliced so that the cross section is perpendicular to its base. The cross section intersects the vertex of the pyramid.

We have to determine the shape of the cross section.

Since, the square pyramid is sliced such that the cross section is perpendicular to its base.

also, The cross section intersects the vertex of the pyramid.

We will obtain a triangle when we slice it such that cross section is perpendicular to its base. (as shown in attachment)

ΔABC is the shape of cross section.

Option (b) is correct.

Answer 2

Pyramid's apex is constructed by isosceles triangles. If we slice it from its apex-from the vertex, in the cross section we'll obtain a triangle, This triangle is also going to be an isosceles triangle.