"Properties and Judgment of Rhombus" Special Parallelogram PPT Courseware 3

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"Properties and Judgment of Rhombus" Special Parallelogram PPT Courseware 3

Commonly used determination methods for diamond shapes:

1. A set of parallelograms with equal adjacent sides is a rhombus.

2. A parallelogram whose diagonals are perpendicular to each other is a rhombus.

3. A quadrilateral with four equal sides is a rhombus.

A rhombus is a special parallelogram, so can the area of ​​a rhombus be calculated using the parallelogram area formula?

S rhombus = BC. AE

Area: S rhombus = base × height = half the product of diagonals

Apply what you learn

1. It is known that the circumference of the rhombus is 12cm, then its side length is ______.

2. In rhombus ABCD, ∠ABC=60 degrees, then ∠BAC=_______.

3. The lengths of the two diagonals of the rhombus are 6cm and 8cm respectively, then the area of ​​the rhombus is _____.

Rhombus problems can be solved by transforming them into right triangle or isosceles triangle problems

Determination method 1: A set of parallelograms with equal adjacent sides is a rhombus

∵ Quadrilateral ABCD is a parallelogram

AB=BC

∴Quadrilateral ABCD is a rhombus

Decision Theorem 2 A parallelogram with mutually perpendicular diagonals is a rhombus

Decision Theorem 3: A quadrilateral with all four sides equal is a rhombus

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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: 2024-10-02

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