Parallel Perpendicular Quadrilaterals

Slopes of Perpendicular lines are __________?

• Opposite

• Reciprocals

• Opposite Reciprocals

• Equal

Determine whether each statement if always, sometimes, or never true. If quadrilateral ABCD is a trapezoid and the slope of AB is positive, then the slope of BC is negative.

• always

• sometimes

• never true

• not enough information

Determine whether each statement if always, sometimes, or never true. If line m is perpendicular to line n, then the slope of line n is 0.

• always

• sometimes

• never

• not enough information

Determine whether each statement if always, sometimes, or never true. If k is a real number, then the line y = x + k is perpendicular to the line y = -x + k.

• sometimes

• never

• always

• not enough information

Determine whether each statement if always, sometimes, or never true. If quadrilateral JKLM is a rhombus and one diagonal has a slope of 3, then the other diagonal has a slope of 1/3.

• always

• sometimes

• never

• not enough information

Determine whether each statement if always, sometimes, or never true. The slopes of two consecutive sides of a rectangle are 2/3 and 3/2.

• always

• sometimes

• never

• not enough information

Determine whether the quadrilateral with the given vertices is a parallelogram. If so, determine whether it is a rhombus, a rectangle, or neither. (Hint: Recall that a parallelogram with perpendicular diagonals is a rhombus.)

Quadrilateral ABCD with A(-3, 0), B(1, 2), C(2, 0) and D(-2, -2).

• rhombus

• rectangle

• parallelogram

• neither

Determine whether the quadrilateral with the given vertices is a parallelogram. If so, determine whether it is a rhombus, a rectangle, or neither. (Hint: Recall that a parallelogram with perpendicular diagonals is a rhombus.)

Quadrilateral KLMN with K(-4, 2), L(-1, 4), M(3, 3), and N(-3, -1)

• rectangle

• rhombus

• parallelogram

• neither

Determine whether the quadrilateral with the given vertices is a parallelogram. If so, determine whether it is a rhombus, a rectangle, or neither. (Hint: Recall that a parallelogram with perpendicular diagonals is a rhombus.)

Quadrilateral FGHJ with F(-2, 3), G(1, 2), H(2, -1), and J(-1, 0)

• rectangle

• rhombus

• parallelogram

• neither

The perimeter on quadrilateral PQRS is 84. Find the length of each side of quadrilateral PQRS under the given condition.

PQ = QR

• PQ = 10.5, QR = 10.5, RS = 10.5, SP = 10.5

• PQ = 21, QR = 10.5, RS = 21, SP = 10.5

• PQ = 21, QR = 21, RS = 21, SP = 21

• PQ = 10.5, QR = 21, RS = 10.5, SP = 21