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

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Presentation on theme: "HONORS GEOMETRY 6.6: Trapezoids. Do Now: Complete the do now given to you when you entered class."— Presentation transcript:

1 HONORS GEOMETRY 6.6: Trapezoids

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

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

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

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

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

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

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

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

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

11 Example Two:

12 You Try! Assume ABCD is a isosceles trapezoid

13 Example Three:

14 You Try!

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

16 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.

17 Example Four: Find EF in each trapezoid:

18 You Try!

19 Example Five:

20 Example Six:

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

22 Exit Ticket:


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