PLEASE ANSWER THE QUESTION

Question

Select all the descriptions for .GE

1. angle bisector
2. median
3. perpendicular bisector
4. altitude
5. hypotenuse

Answer 1

A median is an angle bisector when the vertex is the non-congruent angle of an isosceles triangle, so GE is an angle bisector.

GE is a median because it divides the opposite side DF into two equal segments DG and GF.

The median to the unequal side of an isosceles triangle is a perpendicular bisector of that side, so GE is a perpendicular bisector.

An altitude is drawn from one vertex to make a right angle with the opposite side. Since GE is a perpendicular bisector, it is also an altitude.

GE is the leg of the two right triangles DGE and FGE, so it is not an hypotenuse.