The distance from a point to a line is the length of the perpendicular segment from the point to the line. Think of it as height (altitude) since it always has to form a right angle.

perpendicular T right angles linear pair of congruent angles a T b

complementary congruent linear pairs form perpendicular lines. Given PS PQ T Theorem 3.10 Angles with a sum of 90 are complementary

Since c d, angles 1, 2, 3 and 4 form right angles. That means ∠3 + ∠4 = 180 T congruent linear pairs form perpendicular lines. Given Theorem 3.8 Theorem 3.9 perpendicular lines form right angles.

perpendicular T parallel ll

x t ll s x ll y x z x ll z x y ll z Yes, because c and d are both perpendicular to a, c ll d by Theorem 3.12. Yes, because b c, and c ll, d as explained in exercise 3, then b d by Theorem 3.11. T

34 71 21 20 34 71 40 -42 - 20 21 29 - 71 74 - 34 58 58 inches

m = y2 - y1 x2 - x1 m1 = 3 - 0 -2 - (-3) = 3 m2 = 5 - 2 2 - 1 m3 = 3 - 2 -2 - 1 = -1/3 d = √(x2 - x1)2 + (y2 - y1)2 d = √(x2 - x1)2 + (y2 - y1)2 = √(1-(-2))2 + (2 - 3)2 ≈ 3.162un