Question

fill in the missing reasons for the proof of the theorem that all right - angles are congruent.
given: ∠f and ∠g are right angles.
prove: ∠f≅∠g
statements reasons

1. ∠f and ∠g are right angles. 1) given
2. m∠f = 90 and m∠g = 90 2) definition of right angles
3. m∠f = m∠g 3)

Explanation:

Step1: Recall equality property

Since \(m\angle F = 90\) and \(m\angle G=90\), by the transitive property of equality (if \(a = c\) and \(b = c\), then \(a = b\)), here \(a=m\angle F\), \(b = m\angle G\) and \(c = 90\).

Answer:

Transitive property of equality