Question

The shapes of the horizontal cross-sections of the cone below are not all

Answer 1

Answer:

B. False

Step-by-step explanation:

We are given the statement,

'The shapes of the horizontal cross-sections of the cone are all congruent'.

Now, if we cut the cone horizontally, the cross-sectional shape is a 'circle'.

Further, the radius of the circle vary depending on the position form where the cone is cut i.e.

If cut from the top, the circle is approximately equal to a point.

If cut from the middle, the radius of the circle is less than the radius of the cone.

If cut from the bottom, the radius of the circle is equal to the radius of the cone.

Now, 'two figures are congruent if they overlap each other'.

Since, the circles have different radius, they will not overlap each other.

Thus, all the cross-sections of the cone would not be congruent.

Hence, the given statement is false.

Step-by-step explanation: