Algebraically verify diagonal relationships in quadrilaterals and parallelograms.
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Below is parallelogram $${ABCD}$$.
$$E$$ is the midpoint of diagonal $${\overline {AC}}$$.
Prove that $$\overline{BE}\cong \overline{ED}$$.
Find the midpoints of each of the sides of the quadrilateral below to create a new quadrilateral with the midpoints as the vertices.
What do you notice about the quadrilateral formed by these midpoints? We call this the inscribed quadrilateral.
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Modified by Fishtank Learning, Inc.What particular shape has perpendicular and congruent diagonals?
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Using the parallelogram below,
a) Write the coordinates of the point where the diagonals intersect.
b) Algebraically show that the diagonals bisect each other.