Question

1. Write a two-column proof.

Answer 1

Answer:

Check it below, please

Step-by-step explanation:

Hi there!

Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.

Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.

Statement                     Reason

$\overline{AB} \cong \overline{AC}$                     Given

$\widehat{ACB} \:bisects\: \overline{AB}$        Isosceles Triangle the altitude, the bisector coincide.          

$\overline{AD} \cong \overline{DB}$               Bisector equally divide a line segment into two congruent      

$m\angle CDA =m \angle CBD=90^{\circ}$ Right angles, perpendicular lines.                  

$\overline{CD}\perp \overline{AB}$                    Perpendicular Line segment