Question

problem 13: (first taught in lesson 19) from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: ∠tqc and ∠kjl are right angles. prove: ∠tqc ≅ ∠kjl a b c d e definition of a perpendicular bisector

Explanation:

Step1: Recall angle - congruence concepts

All right angles measure 90 degrees.

Step2: Apply congruence rule

Since \(\angle TQC = 90^{\circ}\) and \(\angle KJL=90^{\circ}\), by the definition of congruent angles (angles with equal measures are congruent), \(\angle TQC\cong\angle KJL\). The "Definition of a perpendicular bisector" is not relevant as it pertains to a line that bisects a segment at a right - angle, not to the congruence of two right angles.

Answer:

None of the provided options (assuming only option A is shown and no other options are given). The correct justification is the "Right - Angle Congruence Theorem" which states that all right angles are congruent.