Question

diagram: points d, b, c on a horizontal line, a vertical to b (right angle at b). table with statements and reasons: 1. ∠abc is a right angle (given); 2. ∠dbc is a straight angle (given); 3. m∠abc=90° (definition of right angle); 4. m∠dbc=180° (definition of straight angle); 5. m∠abd + m∠abc = m∠dbc (angle addition property); 6. m∠abd + 90° = 180° (substitution property); 7. m∠abd=90° (subtraction property); 8. ∠abd is a right angle (definition of right angle). options: two-column proof, two-paragraph proof, flowchart proof, one-paragraph proof.

Explanation:

A two - column proof has two columns, one for "Statements" and one for "Reasons", which matches the given proof structure. A two - paragraph proof would be in paragraph form, a flowchart proof uses a flowchart with boxes and arrows, and a one - paragraph proof is a single paragraph. So the proof here is a two - column proof.

Answer:

two - column proof