Parallel and Perpendicular Lines

Line j passes through the points (0, 0) and (c, d). Line k passes through the points (0,0) and (-d, c). Lines j and k are

perpendicular

Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is perpendicular to line m?

Zero

Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of

2/3

Parallel lines have the same slope.

True

The coordinates J(2, 2), K(-1, 3), L(-2, -1) form a right triangle.

False

Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the coordinates of the vertices. R(0, 0), S(6, 3), T(5, 5), U(-1, 2)

Pair 1 RS || TU Pair 2 RS perpendicular ST Pair 3 RS perpendicular RU Pair 4 TU perpendicular ST Pair 5 ST || RU Pair 6 TU perpendicular RU

Lines m and n are perpendicular. If the slope of m is zero, then the slope of n is

undefined

The coordinates G(7, 3), H(9, 0), I(5, -1) form a right triangle.

False

Which of the following pairs of slopes are of perpendicular lines?

3/4 and -4/3

Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the coordinates of the vertices. R(1, -3), S(4, -1), T(2, 2), U(-4, -2)

Pair 1 RS || TU Pair 2 RS perpendicular ST Pair 3 TU perpendicular ST

Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the coordinates of the vertices. R(-1, -5), S(8, 2), T(5, 5), U(-4, -2)

Pair 1 RS || TU Pair 2 ST || RU

Given quadrilateral RSTU, tell which sides (if any) are parallel and which are perpendicular for the coordinates of the vertices. R(-1, 1), S(1, -2), T(4, 0), U(3, 3)

RS perpendicular ST

The coordinates A(2, 1), B(7, 1), C(2, 4) form a right triangle.

True

The coordinates P(0, 1), Q(3, 2), R(5, -4) form a right triangle.

True

The coordinates R(1, -3), S(3, -1) T(5, -7) form a right triangle.

True