Geography, 29.11.2020 02:10 JanaMiqdad7702
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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
A two column proof of the theorem is shown, but a justification is missing.
A triangle with vertices A at 6, 8. B is at 2, 2. C is at 8, 4. Segment DE. Point D is on side AB and point E is on side BC
Statement Justification
The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) Midpoint Formula
Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 .
Segment DE is half the length of segment AC. Substitution Property of Equality
Slope of segment DE is −2 and slope of segment AC is −2. Slope Formula
Segment DE is parallel to segment AC. Slopes of parallel lines are equal.
Which is the missing justification? (6 points)
Additive Identity
Distance Formula
Midsegment Theorem
Transitive Property of Equality
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