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Authoritative PPT Summary
"Determination of Parallelograms" PPT Courseware 2
review
1. What is a parallelogram?
A quadrilateral with two sets of opposite sides that are parallel is called a parallelogram.
2. What properties of parallelograms have we learned?
The two opposite sides of a parallelogram are equal;
The two opposite angles of a parallelogram are equal;
The diagonals of a parallelogram bisect each other.
Please read pages 10 and 11 of the textbook carefully and complete the following:
1. What is Parallelogram Determination Theorem 1? Will you prove it?
2. How to use Determination Theorem 1 to prove that a quadrilateral is an equal quadrilateral?
practice
True or false
1. A set of quadrilaterals with equal opposite sides is a parallelogram.
2. A quadrilateral with one set of opposite sides parallel and the other set of opposite sides equal is a parallelogram.
3. A set of quadrilaterals whose opposite sides are parallel and equal is a parallelogram.
practice
1. In the quadrilateral ABCD, points E and F are the midpoints of BC and AD respectively. Are the quadrilaterals ABEF and ECDF parallelograms? Tell us your reasons.
2. In the quadrilateral ABCD, points E and F are the midpoints of BC and AD respectively.
Prove: Quadrilateral BEDF is a parallelogram.
Class summary:
1. What methods of determining parallelograms did you learn today?
2. What is the geometric language of these determination methods?
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"Determination of Parallelograms" PPT courseware download:
"Determination of Parallelograms" PPT courseware download Part 1 content: Review Review: Briefly describe the properties of parallelograms: 1. The opposite sides of a parallelogram are equal 2. The diagonals of a parallelogram are equal 3. The diagonals of a parallelogram bisect each other 4. A parallelogram Opposite sides...
"Determination of Parallelograms" PPT download:
"Determination of Parallelograms" PPT Download Part One: Learning Objectives 1. Understand and master the determination theorem of parallelograms 2. Master the application of the determination theorem to explain the determination of parallelograms. 3. Develop reasoning awareness during activities and gradually master the skills of reasoning..
"Determination of Parallelograms" PPT:
"Determination of Parallelograms" PPT Part 1 Content: Properties of parallelograms Sides: Opposite sides are parallel, opposite sides are equal Corollary: Parallel line segments sandwiched between two parallel lines are equal Angles: Opposite angles are equal, adjacent angles are complementary, four angles sum to 360 Diagonals: Bisect each other symmetrically..