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CHAPTER 6
SECTIONS 7 AND 8
6-7 PROPERTIES OF PARALLELOGRAMS

• A parallelogram is quadrilateral with two pairs of
  parallel side.
         B                                    C




     A                                    D
6-7 PROPERTIES OF PARALLELOGRAMS

                   • Name a pair
                     opposite sides.
    B          C   • Name a pair of
                     opposite angles.
                   • Name a pair of
                     consecutive sides.
A          D
                   • Name a pair of
                     consecutive angles.
6-7 PROPERTIES OF PARALLELOGRAMS

• Draw four different parallelograms.
• Are there any lines of symmetry.
• Are there any sides or angles with the
  same measure?
• Are there any supplementary angles?
• What can you say about the
  diagonals.
6-7 PROPERTIES OF PARALLELOGRAMS

                 • In parallelogram
     B
                   ABCD, AB =
            C
                   8,   AD = 15.5, and
                   the measure angle
                   C = 360.
                 • Find CD, BC, and
                   the measure of
 A         D       angles A, B, and D.
6-8 THE TRIANGLE-SUM PROPERTY

• Draw any triangle on a scrap piece of
  paper, use a straightedge.
• Tear off the three angles.
• Place the vertices of the three triangles
  together.
• What do they form?
• What is the measure of that angle?
The sum of the measures of the three angles
of any triangle is 1800.

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Lesson 6 7 and 6-8

  • 2. 6-7 PROPERTIES OF PARALLELOGRAMS • A parallelogram is quadrilateral with two pairs of parallel side. B C A D
  • 3. 6-7 PROPERTIES OF PARALLELOGRAMS • Name a pair opposite sides. B C • Name a pair of opposite angles. • Name a pair of consecutive sides. A D • Name a pair of consecutive angles.
  • 4. 6-7 PROPERTIES OF PARALLELOGRAMS • Draw four different parallelograms. • Are there any lines of symmetry. • Are there any sides or angles with the same measure? • Are there any supplementary angles? • What can you say about the diagonals.
  • 5. 6-7 PROPERTIES OF PARALLELOGRAMS • In parallelogram B ABCD, AB = C 8, AD = 15.5, and the measure angle C = 360. • Find CD, BC, and the measure of A D angles A, B, and D.
  • 6. 6-8 THE TRIANGLE-SUM PROPERTY • Draw any triangle on a scrap piece of paper, use a straightedge. • Tear off the three angles. • Place the vertices of the three triangles together. • What do they form? • What is the measure of that angle? The sum of the measures of the three angles of any triangle is 1800.