Properties of Parallelograms Geometry 6 2 On your

• On your Nspire handheld • Create a new document Home > 1

Draw a parallelogram • Add two connecting line segments, as a corner of your

Draw a parallelogram • Add two crossing parallel lines (Construction menu), placing the new

Draw a parallelogram • Add and label and a point at the intersection Menu

Draw a parallelogram • Add line segments cd and bd over the lines •

Draw a parallelogram Drag the lines/points to check construction Point d cannot be moved

Measure all four angles of the parallelogram • Menu > 6 > 4 Parallelogram

Measure all four angles of the parallelogram • Grab and move, what conclusion can

• The opposite angles of a parallelogram are congruent. Parallelogram Opposite Angle

• Consecutive angles of a parallelogram are supplementary Parallelogram Consecutive

• Measure the length of all four sides • Shorten the digits on

• The opposite sides of a parallelogram are congruent Parallelogram Opposite Side

• Add both diagonals to the drawing Menu > 4 > 5 Parallelogram

• Add a point at the intersection of the diagonals and label it

• Measure the lengths of AE, BE, CE & DE Menu > 7

• Diagonals of a parallelogram are bisectors Parallelogram Diagonal

• Pages 297 – 300 • 8 – 18 even, 26, 30, 48,

• Pages 297 – 300 • 8 – 18 even, 26, 30, 37,

Slides: 30

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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 Demonstration

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

• Consecutive angles of a parallelogram are supplementary Parallelogram Consecutive

• 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

• 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

Parallelogram Theorem

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