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Objectives: Develop and use formulas for the sums of the measures of interior and exterior angles of polygons Warm-Up: Seven & eleven are both odd numbers.

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Presentation on theme: "Objectives: Develop and use formulas for the sums of the measures of interior and exterior angles of polygons Warm-Up: Seven & eleven are both odd numbers."— Presentation transcript:

1 Objectives: Develop and use formulas for the sums of the measures of interior and exterior angles of polygons Warm-Up: Seven & eleven are both odd numbers. Your task is to make them both even without performing a mathematical operation. 7 11

2 a segment whose endpoints are the midpoints of the two sides Mid-segment of a Triangle:

3 If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side, and is half its length. Triangle Mid-Segment Conjecture:

4 In triangle DEF, A, B, and C are midpoints. Name pairs of parallel segments.

5 Find DE

6 Find AB

7 D and E are midpoints. Find the measure of <A.

8 In Triangle EFG, H, J, and K are midpoints. Find HJ, JK, and FG.

9 Given DE, DF, and FE are the lengths of mid-segments. Find the perimeter of triangle ABC.

10 Find DE

11 Mid-segment of a Trapezoid: a segment whose endpoints are the midpoints of the non-parallel sides

12 Trapezoid Mid-Segment Conjecture: A midsegment of a trapezoid is PARALLEL to the bases of the trapezoid and has a measure equal to the average of the base lengths.

13 Find NO

14 Find PQ

15 Find KL

16

17 Find DE, FG, & HI

18 Find AB & CD

19 Find AB, WO, & CD

20


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