Question

geometry 2 sy2026

1. identify the type of proof given.

statement reason
△abc is a right - triangle, m∠c = 90° given
m∠a + m∠b + m∠c = 180° triangle sum theorem
m∠a + m∠b+90° = 180° substitution property of equality
m∠a + m∠b = 90° subtraction property of equality
∠a and ∠b are complementary angles definition of complementary angles
a. two - column proof
b. geometric proof
c. paragraph proof
d. flow - chart proof

Explanation:

A two - column proof has two columns, one for statements and one for reasons. The given proof is presented in a table with two columns, where the left column contains geometric statements about the triangle and the right column contains the reasons for those statements. A geometric proof is a general term for proving geometric facts, but the specific format here is two - column. A paragraph proof is written in paragraph form, and a flowchart proof uses boxes and arrows.

Answer:

A. Two - column proof