6.1 Classifying Quadrilaterals

Special QuadrilateralsA parallelogram is a quadrilateral with both pairs of opposite sides parallel.

A rhombus is a parallelogram with four congruent sides.

A rectangle is a parallelogram with four right angles.A square is a parallelogram with four congruent sides and right angles.

A kite is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.A trapezoid is a quadrilateral with exactly one pair of parallel sides. The isosceles trapezoid at the right is a trapezoid whose nonparallel sides are congruent.

Classifying Quadrilaterals

Classifying QuadrilateralsExamples:

Judging by appearance, classify the quadrilaterals in as many ways as possible.

Most Specific Name: Most Specific Name: Most Specific Name:

Classifying QuadrilateralsUse slope and distance to determine the most precise name for quadrilateral LMNP with vertices L(1, 2), M(3, 3), N(5, 2), and P(3, 1). Slopes:

LM

MN

NP

PL

Distances:

Classifying QuadrilateralsUse slope and distance to determine the most precise name for quadrilateral EFGH with vertices E(-3, 1), F(-7, -3), G(6, -3), and H(2,1).

Slopes:

EF

FG

GH

HE

Distances:

Using PropertiesFind the values of the variables for the kite.

Find the values of the variables for the rhombus. Then find the lengths of the sides.

6.1 Classifying Quadrilaterals

HW 6.1: 1-14, 19-25, 29-33, 36-41, 45-48