Question

imagine an upright cone with its base resting on your horizontal desk. match each plane with the image of the cross section formed by intersecting the plane with the cone
a. horizontal
b. vertical, through cones topmost point
c. diagonal
figure 1
figure 2
figure 3
horizontal
vertical (through cones topmost point)
diagonal
figure 1
figure 2
figure 3

Explanation:

Step1: Analyze horizontal cross - section

When a plane cuts a cone horizontally (parallel to the base), the cross - section is a circle. So, a (Horizontal) corresponds to Figure 2.

Step2: Analyze vertical cross - section through the top - most point

When a plane cuts a cone vertically through its top - most point, the cross - section is a triangle. So, b (Vertical, through cone’s topmost point) corresponds to Figure 1.

Step3: Analyze diagonal cross - section

When a plane cuts a cone diagonally (not parallel to the base and not passing through the vertex in a vertical way), the cross - section is an ellipse. So, c (Diagonal) corresponds to Figure 3.

Answer:

a. Horizontal - Figure 2; b. Vertical, through cone’s topmost point - Figure 1; c. Diagonal - Figure 3