EOC Strategy - GEOMETRY Parallel & Perpendicular Slopes
STRATEGY #1 – LOOK FOR KEY WORDS PARALLEL Parallelogram Same direction FIND: SAME SLOPES PERPENDICULAR Right angles Square or rectangle FIND: OPPOSITE SIGNS & RECIPROCALS
STRATEGY #2 –USE A GRAPH If there are coordinates & equations given in a problem -GRAPH THEM -LABEL THEM
SOMETIMES THE PROBLEMS ARE DIRECTLY STATED
SOMETIMES WE MUST INFER WHAT TO DO USING KEY WORDS & GRAPHS EXAMPLE G2.2 A triangle has vertices G(1, 1), H(4, -1), and I( 3, 4). Identify any right angles.
CHECK IT OUT G2.3 Use both strategies: graph & key words Parallelogram RSTU has vertices R(3, 5), S(6, 3), and T(3, 2). Which is an equation of side RU?
CHECK IT G2.4 When graphed on a coordinate plane, Monarch Street runs from (-1, 6) to (1, 2). Wildcat Avenue runs perpendicular to Monarch Street and passes through (4, 1). What equation represents Wildcat Avenue?
CHECK IT G2.5 Which is an equation of a line that is perpendicular to the graph of x – 3y = 12? a. x + 3y = 9 b. 3x – y = 5 c. 3x + y = 6 d. x – 3y = -3
Check it G2.6 Which is an equation of a line parallel to segment MN? A. 2x – y = 5 B. x – 2y = 4 C. x + 2y = 12 D. 2x + y = 3