Question

Look at the figure shown below:

CB is a segment on which a perpendicular bisector AD is drawn. D is the midpoint of CB.

Which step should be used to prove that point A is equidistant from points C and B?

Triangle ABD is congruent to triangle ACD.
Prove that segment AD is perpendicular to BC.
Triangle ABD is similar to triangle ACD.
Prove that segment AD is equal to segment BC.

Answer 1

Triange ABD is congruent to triangle ACD

Answer 2

ΔABD ≅ ΔACD CPCTC follows this step to complete the proof

AD ⊥ BC already given information

ΔABD ~ ΔACD this proves ratio, not congruency

AD = BC this might be a false statement, we only know that CD = DB

Answer: A) ΔABD ≅ ΔACD