HONORS GEOMETRY 6.6: Trapezoids. Do Now: Complete the do now given to you when you entered class.

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Presentation transcript:

HONORS GEOMETRY 6.6: Trapezoids

Do Now: Complete the do now given to you when you entered class.

Homework Questions Comments? Confusions? Concerns? ASK ASK ASK!

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

Parts of Trapezoids Bases: Parallel Sides Legs: Non-Parallel Sides Base Angles: formed by one base and one leg

Isosceles Trapezoid: When the legs of a trapezoid are congruent, it’s an isosceles trapezoid.

Properties of Isosceles Trapezoids If a trapezoid is isosceles, then each pair of base angles is congruent.

Properties of Isosceles Trapezoids If a trapezoid has one pair of congruent base angles, then it is an isosceles trapezoid.

Properties of Isosceles Trapezoids A trapezoid is isosceles if and only if the diagonals are congruent.

Example One: Which of these trapezoids is isosceles? Find the measure of each angle of the trapezoid

Example Two:

You Try! Assume ABCD is a isosceles trapezoid

Example Three:

You Try!

Midsegment of a Trapezoid Is the segment that connects the midpoints of the legs of a trapezoid.

Trapezoid Midsegment Theorem: The midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.

Example Four: Find EF in each trapezoid:

You Try!

Example Five:

Example Six:

Practice Problems Try some on your own/in small groups As always don’t hesitate to ask me questions if you are confused!

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