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Warm-Up: Problem of the Day

Warm-Up: Problem of the Day. One endpoint of a line segment has coordinates (-3,-1). The midpoint of the line segment is at (1,1). What is the location of the other endpoint?. Unit 2 Verifying Geometric Properties (Part I).

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Warm-Up: Problem of the Day

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  1. Warm-Up: Problem of the Day • One endpoint of a line segment has coordinates (-3,-1). The midpoint of the line segment is at (1,1). What is the location of the other endpoint?

  2. Unit 2Verifying Geometric Properties (Part I) Learning Goal: I can verify characteristics of geometric figures using algebra and analytic geometry

  3. Midsegment(*add to definitions) • A midsegment is a line segment formed by joining the midpoints of two sides in a polygon

  4. Example 1 • Show that the midsegments of the quadrilateral with vertices at P(-2,-2), Q(0,4), R(6,3), and S(8,-1) form a parallelogram.

  5. Example 2 • A line segment has endpoints F(-3, 2) and G(7, 0). Does the perpendicular bisector of FG pass through the point (4,11)?

  6. Homework • Pg. 203 # 1,2,3,5,7

  7. Unit 2Verifying Geometric Properties (Part II) Learning Goal: I can verify characteristics of geometric figures using algebra and analytic geometry

  8. Warm-Up: Problem of the Day • The points D(-3,2), E(4,-5), and F(6,2) form the vertices of a triangle. Show that the midsegment formed by the midpoints of EF and DF is half the length of DE and parallel to DE.

  9. Homework • Pg. 203 # 6, 11, 12, 16

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