Question

given: $overline{ad} cong overline{bd}$, $angle 1$ and $angle 2$ are right angles. prove: $angle a cong angle b$. drag & drop the answer. statements: $overline{ad} cong overline{bd}$, $angle 1$ and $angle 2$ are right angles; $angle 1 cong angle 2$; $overline{cd} cong overline{cd}$; $\triangle acd cong \triangle bdc$; $angle a cong angle b$. reasons: hl, reflexive, def right $angle$s, def isosceles $\triangle$s, cpctc, asa, aas, sas, sss, asa, aas, ssa, etc. (diagram of triangle with right angles at d)

Explanation:

Step1: Identify the property for \( \overline{CD} \cong \overline{CD} \)

The reflexive property states that any segment is congruent to itself. So for \( \overline{CD} \), the property is Reflexive.

Step2: Match with the option

Looking at the left - hand side options, the "Reflexive" option is the one that corresponds to \( \overline{CD} \cong \overline{CD} \) because of the reflexive property of congruence (a segment is congruent to itself).

Answer:

Reflexive