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 1) ∠f and ∠g are right angles 2) m∠f = 90 and m∠g = 90 3) m∠f = m∠g reasons 1) definition of right angles 2) definition of congruent angles 3) substitution property of equality

Explanation:

Step1: State given information

Given that $\angle F$ and $\angle G$ are right - angles.

Step2: Use definition of right angles

By the definition of right angles, $m\angle F = 90$ and $m\angle G=90$.

Step3: Apply substitution property of equality

Since $m\angle F = 90$ and $m\angle G = 90$, we can substitute to get $m\angle F=m\angle G$.

Step4: Use definition of congruent angles

If $m\angle F=m\angle G$, then by the definition of congruent angles, $\angle F\cong\angle G$.

Answer:

1. Definition of right angles
2. Substitution Property of Equality
3. Definition of congruent angles