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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)
Learning Goal: I can verify
characteristics of geometric figures
using algebra and analytic geometry
Midsegment(*add to definitions)
• A midsegment is a line segment formed by
joining the midpoints of two sides in a polygon
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.
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)?
Homework
• Pg. 203 # 1,2,3,5,7
Unit 2
Verifying Geometric Properties
(Part II)
Learning Goal: I can verify
characteristics of geometric figures
using algebra and analytic geometry
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.
Homework
• Pg. 203 # 6, 11, 12, 16