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1 5.5 Parallelograms

2 About Cabri JR Press APPS Chose Cabri JR Press any bu8on to con:nue

3 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 poin:ng to what you want to drag to get a hand. 3

4

5 Press CLEAR any:me to exit of the Func:on Menu F1 F5 If you want to HIDE/ ERASE something you have done F5/ Hide- Show/ Object

6 Draw a parallelogram In the F1 menu highlight New and press Enter

7 Draw a parallelogram Open the F2 window, scroll to Segment and press ENTER.

8 Draw a parallelogram Find the star:ng posi:on (point) for your segment Press Enter With the arrows Draw a line segment. Press Enter again

9 Draw a parallelogram Highlight Alp- Num in the F5 menu.

10 Draw a parallelogram Label the segment. AB Get to the posi*on where le/er should be placed press enter, type the le/er/ press Enter again

11 Draw a parallelogram AD Draw line segment.

12 Draw a parallelogram In F3 select Parallel.

13 Draw a parallelogram Highlight AB and press ENTER.

14 Draw a parallelogram With the arrow keys move the parallel line up to point D so that D is blinking and press ENTER.

15 Draw a parallelogram Construct a line parallel to AD.

16 Draw a parallelogram There are three choices under the Point tool. Select Intersec@on.

17 Draw a parallelogram Move the cursor un:l both lines are blinking. Press ENTER. Label the point C.

18 Draw a parallelogram Under F2 select the Quad tool. Select A, then B, C, and D.

19 Draw a parallelogram Highlight the Hide/Show tool in F5 and press ENTER.

20 Draw a parallelogram Select BC and press ENTER.

21 Draw a parallelogram Hide. DC A figure will not disappear un*l the cursor is moved away from it.

22 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?

23 Draw a parallelogram Point C cannot be moved it is dependent

24 Measure all four angles of the parallelogram Under F5 select the Measure tool. There are four choices under the Measure tool. Select Angle.

25 Measure all four angles of the parallelogram Grab and move the segment AB, look at the interior angles, what conclusion can we make?

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

27 Parallelogram Consecu:ve Angle Conjecture Consecu:ve angles of a parallelogram are supplementary

28 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, le_/ right to change the shape and compare

29 Parallelogram Opposite Side Conjecture The opposite sides of a parallelogram are congruent

30 Add both diagonals to the drawing

31 Add a point at the intersec:on of the diagonals and label it e Menu > 7 > 3 Select each line

32 Measure the lengths of AE, BE, CE & DE Menu > 8 > 1 Shi_ figure Conclusion?

33 Parallelogram Diagonal Conjecture Diagonals of a parallelogram are bisectors

34 Prac:ce Problems

35 Prac:ce Problems

36 Prac:ce Problems

37 Prac:ce Problems

38 Prac:ce Problems

39 Prac:ce Problems

40 Prac:ce Problems

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