6.5 Trapezoids Textbook page 332

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

The parallel sides of a trapezoid are called the bases. base

The non parallel sides of a trapezoid are called the legs base leg

The base angles of a trapezoid are the angles attached to the same base. (there are two pairs) base Base angle pair leg

Angles on the same leg are supplementary Parallel lines Same-side interior angles base Base angle pair leg Add up to leg Add up to 180 0

Angles on the same leg are supplementary Parallel lines

Angles on the same leg are supplementary Cut by a transversal

Angles on the same leg are supplementary Same-side interior angles

The midsegment of a trapezoid connects the midpoints of the legs midsegment The measure of the midsegment is equal to the average of the measures of the bases ½ (b 1 + b 2 ) OR (b 1 + b 2 ) 2 midpoint The midsegment of a trapezoid is parallel to the bases

The legs of an isosceles trapezoid are congruent.

Each pair of base angles in an isosceles trapezoid are congruent.

Examples pg 333 1) A = 80 0, B = 80 0, C = ) A = 110 0, B = 110 0, D = ) B = 75 0, C = 105 0, D = ) 11 units 5) 8 units 6) 21 units

Homework Assignment # 14 Pg 334 Problems 1-26 all, all, odd Do not pack up early