Question

in the straightedge and compass construction of the perpendicular line below, how do you know that ef ⊥ gh? a. the angles at the intersection of the two lines can be proven to be congruent and complementary, so they meet at a right angle and the lines are perpendicular. b. the angles at the intersection of the two lines can be proven to be congruent and supplementary, so they meet at a right angle and the lines are perpendicular. c. the angles at the intersection of the two lines can be proven to be congruent, so they meet at a right angle and the lines are perpendicular. d. the angles at the intersection of the two lines can be proven to be supplementary, so they meet at a right angle and the lines are perpendicular.

Explanation:

Perpendicular lines form right - angles. Congruent and supplementary angles at intersection are right - angles.

Answer:

B. The angles at the intersection of the two lines can be proven to be congruent and supplementary, so they meet at a right angle and the lines are perpendicular.