Question

True or False:

If a ray bisects an angle of a triangle, then it also bisects the side opposite the angle.

If a plane intersects a cylinder, then the intersection must be a circle.

I think the first one is true and the second one is false.

Answer 1

both false.

To be true it must be true for ALL cases

First one is true only if you have an isosceles triangle or an equilateral triangle

For the second, if the intersecting plane is not parallel to the base of the cylinder, you will get an ellipse