6.4 discovering properties of midsegments (2009)

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Page 1: 6.4 Discovering Properties Of Midsegments (2009)

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LAST NIGHT’S HWLAST NIGHT’S HWLAST NIGHT’S HWLAST NIGHT’S HW

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ANSWERSANSWERSANSWERSANSWERS

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6.46.4Properties of Properties of MidsegmentsMidsegments

Need:Need:-Notes-Notes-Conjecture List-Conjecture List

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ReviewReviewReviewReview

MIDSEGMENTMIDSEGMENTMIDSEGMENTMIDSEGMENTA segment connecting the midpoints of two sides of a triangleA segment connecting the midpoints of two sides of a triangle

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ReviewReviewReviewReview

MIDSEGMENTMIDSEGMENTMIDSEGMENTMIDSEGMENTA segment connecting the midpoints of two sides of a triangleA segment connecting the midpoints of two sides of a triangle

The three midsegments divide the triangle into 4 smaller, congruent triangles

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OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

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OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© TRIANGLE MIDSEGMENT CONJECTURE© TRIANGLE MIDSEGMENT CONJECTURE© TRIANGLE MIDSEGMENT CONJECTURE© TRIANGLE MIDSEGMENT CONJECTUREThe midsegment is parallel to the third side and half the length of the third.

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OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTUREThe midsegment of a trapezoid is parallel to the bases and its length is the average of the two bases.

Page 15: 6.4 Discovering Properties Of Midsegments (2009)

OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTUREThe midsegment of a trapezoid is parallel to the bases and its length is the average of the two bases.

Page 16: 6.4 Discovering Properties Of Midsegments (2009)

OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTUREThe midsegment of a trapezoid is parallel to the bases and its length is the average of the two bases.

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CLASSWORKCLASSWORKWORKSHEET

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