Casio ED-WKBK-PRECALC Datasheet Page 21

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Quite the Quadrilateral Activity
The parallelogram is a special quadrilateral with special properties that is used in a
variety of areas, especially in design. In this activity, we will explore the properties
and then solve some problems using those properties.
Questions
The diagram at the right shows Quad ABCD.
A
D
C
B
(-2, 4)
(3, 0)
(6, 6)
(-5, -2)
By definition, a parallelogram is a quadrilateral
with both pairs of opposite sides parallel.
1. Find the equation of a line that contains the
following points:
a. points B and C
_____________________________________
b. points A and D
_____________________________________
2. What is the slope for each line?
_________________________________________________________________
3. Find the equation of a line that contains the following points:
a. points A and B
_________________________________________________________________
b. points D and C
_________________________________________________________________
4. What is the slope for each line?
_________________________________________________________________
5. Are the opposite sides parallel?
_________________________________________________________________
Let us see what else we can find out about the sides of a parallelogram.
6. Find the length for the following segments to the nearest tenth.
a.
BC : _
b.
_______________________________________________________
A
D : _______________________________________________________
Activity 7 • Geometry with the Casio fx-9750GII
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