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Understanding Properties of Parallelograms

Learn about the properties of parallelograms such as congruent sides and angles, diagonal bisection, and conditions for a shape to be a parallelogram. Explore real-world examples and practice problems to solidify your understanding.

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Understanding Properties of Parallelograms

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  1. Lesson 8.3 Goal: The learner will use properties to identify parallelograms.

  2. Properties of Parallelograms • Opposite sides are congruent • Opposite angles are congruent • Diagonals bisect each other • If opposite sides of a quadrilateral are parallel and congruent, then it’s a parallelogram.

  3. A little proof B C • Given: • Prove: ABCD is a parallelogram A D Statement Reason

  4. An amusement park ride has a moving platform attached to four swinging arms. The platform swings back and forth, higher and higher, until it goes over the top and around in a circular motion. In the diagram below, ADand BCrepresent two of the swinging arms, and DCis parallel to the ground (line l). Explain why the moving platform ABis always parallel to the ground.

  5. The doorway shown is part of a building in England. Over time, the building has leaned sideways. Explain how you know that SV =TU.

  6. For what value of xis quadrilateral CDEFa parallelogram? A little Algebra to lighten the mood.

  7. For what value of xis quadrilateral MNPQa parallelogram? Explain your reasoning. Last one

  8. Assignment • P. 526 #3-10, 15, 19-21, 31

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