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 4) ∠f≅∠g subtraction property of equality definition of congruent angles definition of right angles substitution property of equality

Explanation:

Step1: Recall angle - measure relationship

By the definition of right - angles, a right - angle has a measure of 90 degrees. So, if ∠F and ∠G are right - angles, then m∠F = 90 and m∠G = 90.

Step2: Use substitution

Since m∠F = 90 and m∠G = 90, we can substitute to get m∠F=m∠G.

Step3: Apply congruent - angle definition

Two angles are congruent if and only if they have the same measure. Since m∠F = m∠G, by the definition of congruent angles, ∠F≅∠G.

Answer:

1. Definition of congruent angles