Question

In , side is extended to point E. When connected to vertex A, segment is parallel to segment . In this construction, you are given that bisects .

Prove:
Complete the paragraph proof.

A diagram of a triangle ABC. D is the midpoint of the base AC. A line connects BD. A dashed line AE and BE is drawn outside the triangle.

, since bisects and the two angles created on each side of the bisector at point B are equal. because of the corresponding angles theorem. because
. by the substitution property of equality. by the triangle proportionality theorem. If two angles in a triangle are congruent, the sides opposite the angles are congruent, so .
by the substitution property of equality.

Answer 1

THE FIRST ONE IS ANGLE 1 IS CONGRUENT TO ANGLE 2

Explanation:

THE NEXT ONE IS ALTERNATE EXTERIOR ANGLES ARE CONGRUENT IF TWO PARALLEL LINES ARE CUT

THE THIRD ONE I GOT WRONG SO ITS NOT AD/CD=EB/EB