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5.5 Parallelograms

5.5 Parallelograms. About Cabri JR. Press APPS Chose Cabri JR Press any button to continue. Tips for Cabri Jr. Menus are on F 1 , F 2 , F 3 , F 4 , and F 5. You must have the arrow to drag. Press when you are pointing to what you want to drag to get a hand.

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5.5 Parallelograms

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  1. 5.5 Parallelograms

  2. About Cabri JR Press APPS • Chose Cabri JR • Press any button to continue

  3. Tips for CabriJr Menus are on F1, F2, F3, F4, and F5 You must have the arrow to drag. Press when you are pointing to what you want to drag to get a hand.

  4. Press CLEAR anytime to exit of the Function Menu F1 – F5 • If you want to HIDE/ ERASE something you have done F5/ Hide-Show/ Object

  5. Parallelogram Investigation Draw a parallelogram • In the F1 menu highlight New and press Enter

  6. Parallelogram Investigation Draw a parallelogram • Open the F2 window, scroll to Segment and press ENTER.

  7. Parallelogram Investigation Draw a parallelogram • Find the starting position (point) for your segment • Press Enter • With the arrows Draw a line segment. • Press Enter again

  8. Parallelogram Investigation Draw a parallelogram • Highlight Alp-Num in the F5 menu.

  9. Parallelogram Investigation Draw a parallelogram • Label the segment . Get to the position where letter should be placed press enter, type the letter/ press Enter again…

  10. Parallelogram Investigation Draw a parallelogram • Draw line segment .

  11. Parallelogram Investigation Draw a parallelogram • In F3 select Parallel.

  12. Parallelogram Investigation Draw a parallelogram • Highlight and press ENTER.

  13. Parallelogram Investigation Draw a parallelogram • With the arrow keys move the parallel line up to point D so that Dis blinking and press ENTER.

  14. Parallelogram Investigation Draw a parallelogram • Construct a line parallel to .

  15. Parallelogram Investigation Draw a parallelogram • There are three choices under thePoint tool. • Select Intersection.

  16. Parallelogram Investigation Draw a parallelogram • Move the cursor until both lines are blinking. • Press ENTER. • Label the point C.

  17. Parallelogram Investigation Draw a parallelogram • Under F2 select the Quadtool. • Select A, then B, C, and D.

  18. Parallelogram Investigation Draw a parallelogram • Highlight the Hide/Show tool in F5 and press ENTER.

  19. Parallelogram Investigation Draw a parallelogram • Select and press ENTER.

  20. Parallelogram Investigation Draw a parallelogram • Hide . A figure will not disappear until the cursor is moved away from it.

  21. Parallelogram Investigation Save Your Parallelogram F1/ save As/ Natasha • Grab pt. A and move it around. Does ABCD stay a parallelogram? • Try grabbing points B, C, and D. What happens? • Which point can you not grab? • Why do you think this is so?

  22. Parallelogram Investigation Draw a parallelogram Point C cannot be moved it is dependent

  23. Parallelogram Investigation Measure all four angles of the parallelogram • Under F5 select the Measuretool. • There are four choices under the Measuretool. • Select Angle.

  24. Parallelogram Investigation Measure all four angles of the parallelogram • Grab and move the segment AB, look at the interior angles, what conclusion can we make?

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

  26. Parallelogram Consecutive Angle Conjecture • Consecutive angles of a parallelogram are supplementary

  27. Parallelogram Investigation • Under the Measure tool, choose D. & Length • Measure the length of all four sides (select the points on each segment and press Enter) • Move the segment AB up/down, left/ right to change the shapeand compare

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

  29. Parallelogram Investigation • Add both diagonals to the drawing

  30. Parallelogram Investigation • Add a point at the intersection of the diagonals and label it “e” Menu > 7 > 3 Select each line

  31. Parallelogram Investigation • Measure the lengths of AE, BE, CE & DE Menu > 8 > 1 Shift figure Conclusion?

  32. Parallelogram Diagonal Conjecture • Diagonals of a parallelogram are bisectors

  33. Practice Problems

  34. Practice Problems

  35. Practice Problems

  36. Practice Problems

  37. Practice Problems

  38. Practice Problems

  39. Practice Problems

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