Quadrilaterals Worksheet With Answers Page 12
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50We have established the following properties of a parallelogram and will use these
properties to investigate other properties.
Some Properties of a Parallelogram
• Opposite sides are parallel.
(Definition)
• Opposite sides are congruent. (Theorem)
• Opposite angles are congruent. (Theorem)
Exploration
Use a TI-83+ graphing calculator with Cabri Junior ™ to investigate a relationship
between the diagonals of a parallelogram.
1. Make a conjecture about the diagonals of a parallelogram.
Conjecture: ________________________________________________
Test this conjecture with the following investigation.
a) Begin by constructing
ABCD or use the parallelogram from a
previous investigation. Refer to figure 1 below.
figure 1
b) Draw diagonals DB and AC . Locate the point of intersection of these
diagonals with point M as shown in figure 2 below.
figure 2
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