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Opener: Complete these two problems on your opener sheet.

1. The interior angle sum of a convex polygon is 3240 degrees.
    What is the name of the polygon?




2. The measure of one exterior angle of a regular polygon is 12
    degrees. How many sides does the polygon have?




                                                                  1
Homework Questions:




                      2
Complete the lab in the assigned groups
      over the next 20 minutes.




                                          3
4
(11/24) & (11/30)   6.2: Properties of Parallelograms

                    Definition of parallelogram:

                    A quadrilateral with two pairs of parallel sides.




                    Properties of parallelograms:

                    1.) If parallelogram, then both pairs of opposite
                    sides are congruent.

                    2.) If parallelogram, then both pairs of opposite
                    angles are congruent.

                    3.) If parallelogram, then consecutive angles are
                    supplementary.

                    4.)If parallelogram, then diagonals bisect each
                    other.




                                                                        5
Practice Examples:

     1. For what values of x and y will the shape below be a parallelogram?



                            120                         3x ‐ 8
              6y ‐ 4
                                                             y+6




     2. ABCD is a parallelogram. Find x and the measure of LABD if the perimeter is 108 cm.
                                    5x ‐ 13         C
                        B
                                              132

                       3x + 3
                                                26
                                A                        D




                                                                                              6
Practice Examples ‐ Cont.:                     A   E           D

     3. Given:   ABCD is a parallelogram
                 BD bisects EF
        Prove:    BGF ≅ DGE                B               C
                                                       F




                                                                   7
Homework:
• p. 395 #21‐24 all, 27‐30 all, 32‐43 all, 46, 47 (as on assignment sheet) 




                                                                              8

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6.2 Notes

  • 1. Opener: Complete these two problems on your opener sheet. 1. The interior angle sum of a convex polygon is 3240 degrees. What is the name of the polygon? 2. The measure of one exterior angle of a regular polygon is 12 degrees. How many sides does the polygon have? 1
  • 3. Complete the lab in the assigned groups over the next 20 minutes. 3
  • 4. 4
  • 5. (11/24) & (11/30) 6.2: Properties of Parallelograms Definition of parallelogram: A quadrilateral with two pairs of parallel sides. Properties of parallelograms: 1.) If parallelogram, then both pairs of opposite sides are congruent. 2.) If parallelogram, then both pairs of opposite angles are congruent. 3.) If parallelogram, then consecutive angles are supplementary. 4.)If parallelogram, then diagonals bisect each other. 5
  • 6. Practice Examples: 1. For what values of x and y will the shape below be a parallelogram? 120 3x ‐ 8 6y ‐ 4 y+6 2. ABCD is a parallelogram. Find x and the measure of LABD if the perimeter is 108 cm. 5x ‐ 13 C B 132 3x + 3 26 A D 6
  • 7. Practice Examples ‐ Cont.: A E D 3. Given: ABCD is a parallelogram BD bisects EF Prove: BGF ≅ DGE B C F 7