Download Section 6.7: Proof Using Coordinate Geometry

Section 6.7: Proof Using Coordinate Geometry
Name_________________________
Trapezoid Midsegment Theorem:
1.) The midsegment of a trapezoid is ________________ to the bases.
2.) The length of the midsegment of a trapezoid is half the sum of the lengths of the bases.
Guided proof of the Trapezoid Midsegment Theorem:
Example 1:
Example 2:
Given: The figure is a rectangle.
Prove: Diagonals are congruent.
Example 3:
Given: The figure is a triangle.
Prove: A midsegment is parallel to the third side.
Example 4:
Given: RHCP is a rhombus.
a.) Determine the coordinates of R.
Determine the coordinates of H.
R(
,
)
H(
,
)
b.) Using the points you found in part a, find the midpoint of RH .
c.) Using the points you found in part a, find the slope of RH .
d.) What is one way you could prove to me this is a rhombus? Please demonstrate that
method below.