Download G_PP_6-2_ParallelogramProperties

Properties of Parallelograms
Geometry 6-2
• On your Nspire handheld
• Create a new document
Home > 1 > No
• Create a “Graphs and Geometry” page
3
Parallelogram Investigation
Draw a parallelogram
• Add two connecting line segments, as a
corner of your parallelogram
Menu > 4 > 5
Note: label your
points as soon
as you place
them, before
completing the
segment
Parallelogram Investigation
Draw a parallelogram
• Add two crossing parallel lines
(Construction menu), placing the new
points on the existing points
Menu > 7 > 2
Select the line,
then the point
Parallelogram Investigation
Draw a parallelogram
• Add and label and a point at the
intersection
Menu > 4 > 3
Select each line
Parallelogram Investigation
Draw a parallelogram
• Add line segments cd and bd over the
lines
• Hide the lines
Menu > 4 > 5
Cntl > menu > 4
Parallelogram Investigation
Draw a parallelogram
Drag the lines/points to
check construction
Point d cannot be
moved it is dependent
Parallelogram Investigation
Measure all four angles of the
parallelogram
• Menu > 6 > 4
Parallelogram Investigation
Measure all four angles of the
parallelogram
• Grab and move, what conclusion can we
make?
Parallelogram Investigation
• The opposite angles of a
parallelogram are congruent.
Parallelogram Opposite Angle
Theorem
• Consecutive angles of a
parallelogram are supplementary
Parallelogram Consecutive
Angle Theorem
• Measure the length of all four sides
• Shorten the digits on the display if necessary
• Change the shape and compare
Menu > 6 > 1
hover > + or -
Parallelogram Investigation
• The opposite sides of a
parallelogram are congruent
Parallelogram Opposite Side
Theorem
• Add both diagonals to the drawing
Menu > 4 > 5
Parallelogram Investigation
• Add a point at the intersection of the diagonals
and label it “e”
Menu > 4 > 3
Select each line
Parallelogram Investigation
• Measure the lengths of AE, BE, CE & DE
Menu > 7 > 1
Shift figure
Conclusion?
Parallelogram Investigation
• Diagonals of a
parallelogram are
bisectors
Parallelogram Diagonal
Theorem
Parallelogram Theorem
Practice Problems
Practice Problems
Practice Problems
Practice Problems
Practice Problems
Practice Problems
Practice Problems
Practice Problems
Practice Problems
• Pages 297 – 300
• 8 – 18 even, 26, 30, 48, 50, 52
Homework
• Pages 297 – 300
• 8 – 18 even, 26, 30, 37, 48, 50, 52
Honors Homework