Given: segment AB bisects < DAC, <C & <D are right <'s Prove: segment BC is congruent to segment BD

Question

if you draw the diagram it will make it easier to see

BDA and BCA are right angles and AB is the bisector
so angle A will be split into two angles 1 and 2

Answer 1

Then it can be said that angle 1 = angle 2

If < 1 = < 2 then all the angles of the triangles are the same.

because Triangle 1 has and Triangle 2 has
This can be shown to do something like ASA with the AB as the S and the bisected angle and the mystery angle as the other and prove congruency.

Answer 2

<1 and <2 are congruent because of the angle bisector.
segment AB is congruent to segment AB because of the reflexive property.
triangle ACB is congruent to triangle ADB becasue of Angle Side Angle.
and BC is congruent to BD because Congruent Parts of Congruent Triangles are Congruent.

i hope that is what you are looking for

Answer 3

Well if it says the bisector it means that the segement DC is cut in half so yes they are congruent.

Answer 4

arent they both 90 degrees