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6.3 Properties of Parallelograms

Quiz. 6.3 Properties of Parallelograms. Goal #1: How to use properties of parallelograms to solve problems in geometry. Goal #2: How to use properties of parallelograms to solve real life problems. 6.3 Properties of Parallelograms. 6.3 Properties of Parallelograms. Parallelogram.

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6.3 Properties of Parallelograms

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  1. Quiz 6.3 Properties of Parallelograms

  2. Goal #1: How to use properties of parallelograms to solve problems in geometry. Goal #2: How to use properties of parallelograms to solve real life problems. 6.3 Properties of Parallelograms

  3. 6.3 Properties of Parallelograms

  4. Parallelogram • A parallelogram is a quadrilateral whose opposite sides are parallel.

  5. Lesson Investigation Part A - Instructions • In pairs, use a straightedge to draw two parallel segments on a piece of patty paper. Then draw two other parallel segments to form a parallelogram. • Place a second piece of patty paper over the first and copy the parallelogram onto the second. • By moving the copies around, what conjectures can you make about the properties of parallelograms. • You have ten minutes!!! • Part A – Guiding Questions • How do the lengths of the opposite sides compare? • How do the sizes of the opposite angles compare? • How do the sizes of consecutive angles compare?

  6. Parallelogram • Part A – Guiding Questions • How do the lengths of the opposite sides compare? • How do the sizes of the opposite angles compare? • How do the sizes of consecutive angles compare?

  7. Lesson Investigation • Part B – Instructions • Draw or fold the two diagonals of the parallelogram. • Place a dot at their intersection. • You have five minutes!!! • Part B - Guiding Questions • How do the segments of each diagonal compare? • What can be said about the intersection of the diagonals? • How many congruent triangles are formed within the parallelogram?

  8. Parallelogram • Part B - Guiding Questions • How do the segments of each diagonal compare? • What can be said about the intersection of the diagonals? • How many congruent triangles are formed within the parallelogram?

  9. Properties of Parallelograms • THM 6.3: The opposite sides of a parallelogram are congruent. • THM 6.4: The opposite angles of a parallelogram are congruent.

  10. Properties of Parallelograms • THM 6.5: The consecutive interior angles of a parallelogram are supplementary. 2 1 THM 6.6: The diagonals of a parallelogram bisect each other.

  11. P 5 Q 3 T 3 S R 5

  12. The San Francisco Bay Bridge, like many bridges, uses parallelograms in its structural design. Engineers use properties of parallelograms to build and repair bridges. Using Parallelograms to solve Real life problems

  13. A. Are you given enough info to verify that EQ = QB? Yes! • B. What are the measures of ERB and RBP?

  14. Assignment!!! • Pg. 283 • 11-23 odd, • 27b-36 even, • 42, 44.

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