"Properties and Judgment of Rhombus" Special Parallelogram PPT Courseware 5

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"Properties and Judgment of Rhombus" Special Parallelogram PPT Courseware 5

Review the past and learn the new

1.What is the definition of rhombus?

2. As shown in the figure, it is known that the quadrilateral ABCD is a parallelogram, and you only need to add ______ to determine that it is a rhombus.

3. As shown in the figure, it is known that the diagonals AC and BD of rhombus ABCD intersect at point O, and AC=6cm, BD=8cm, then the perimeter of rhombus ABCD is ______cm.

Display and exchange

In the last class we assigned several tasks:

1. Use a ruler and compass to draw on a piece of paper to make a rhombus with a side length of 10cm;

2. Find a way to cut and fold a diamond shape out of a rectangular piece of paper;

3. What other ways can you think of to make rhombuses using rectangular paper.

Please show your work to your classmates and communicate with the whole class.

Explore new knowledge

According to the definition of a rhombus, a parallelogram with equal adjacent sides is a rhombus. In addition, what other conditions do you think can determine whether a parallelogram is a rhombus? Think about it first, and then communicate with your peers.

Xiao Ming’s thoughts

Many property theorems and determination theorems of parallelograms are reciprocal propositions. Inspired by this, I guessed: a quadrilateral with four equal sides is a rhombus, and a parallelogram with perpendicular diagonals is a rhombus.

Xiaoying's thoughts

I think a parallelogram with mutually perpendicular diagonals may be a rhombus. But "a parallelogram with four equal sides is a rhombus"... is actually the same as "a parallelogram with equal adjacent sides is a rhombus".

What do you think? What do you think of Xiao Ming’s idea? Communicate with your peers.

Class summary

1. What knowledge is focused on in this lesson and what mathematical methods are applied?

2. What are the methods to determine whether a quadrilateral is a rhombus?

3. What did you gain from studying this class? What should we do in the future learning process?

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For more information about the PPT courseware "Special Parallelograms and Rhombuses' Properties and Determinations", please click on the Special Parallelograms ppt Properties and Determinations of Rhombuses ppt tag.

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Update Time: 2024-07-29

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