A committee of 2 freshmen, 2 sophomores, 2 juniors, 2 seniors will be selected by random from a student body of 1,000 freshmen, 350 sophomores, 850 juniors, and 840 seniors. If 400 freshmen, 150 sophomores, 300 juniors, and 300 seniors are women, what is the probability that all members of the committee will be women?

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.