A figure is shown. N Select the statements that, when taken alone, could be used to prove that AHIN and A TIG are similar. O ZT E 2I O TG || HN O TG I IG O N is the midpoint of GI. O HN bisects IG and TI O ATIG is dilated by a scale factor less than 1 centered at point I to produce AHIN.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.