Question

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1. $overline{dc}congoverline{ab}$ given
2. $dc = ab$ definition of congruent segments
3. $ca = ca$
4. $dc + ca = ca + ab$ addition property of equality

q.e.d.

1. in the figure, points $r$ and $s$ lie on the segment $overline{qt}$ such that the length of $qr$ is equal to the length of $st$. what is the missing statement for the reason in step 2 of the proof?

Explanation:

Step1: Recall the property of a segment being equal to itself

A segment is always equal to itself due to the reflexive property of equality. In geometry, for any segment \(CA\), \(CA = CA\) because it is the same segment. This is a fundamental property used in geometric proofs to establish equal - lengths when building up more complex equalities.

Answer:

Reflexive Property of Equality