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"Properties and Judgment of Rectangles" Special Parallelogram PPT Courseware 3
Explore new knowledge:
A rectangle is a special parallelogram. In addition to having all the properties of a parallelogram, what other special properties does it have?
Conjecture 1: The four corners of the rectangle are all right angles.
Conjecture 2: The diagonals of the rectangle are equal.
Theorem: The four corners of a rectangle are right angles.
Theorem: The diagonals of a rectangle are equal.
Apply what you learn
1. The property that a rectangle has but that a general parallelogram does not have is ( ).
A. Diagonals are equal B. Opposite sides are equal
C. Diagonals are equal D. Diagonals bisect each other
2. The lengths of a set of adjacent sides of a rectangle are 3cm and 4cm respectively, then its diagonal length is ______cm.
Leisure stop
1. Definition of rectangle: A parallelogram with one right angle is called a rectangle
2. Rectangle Opposite sides of a rectangle are parallel and equal
The four corners of a rectangle are right angles
The diagonals of a rectangle bisect each other and are equal
3. An important property of a right triangle: the midline on the hypotenuse is equal to half of the hypotenuse;
4. When performing relevant calculations or proofs in a rectangle, the problem is often transformed into a right triangle or an isosceles triangle according to the properties of the rectangle, and the relevant properties of the right triangle or isosceles triangle are used to solve the problem.
Definition of rectangle:
A parallelogram with one right angle is called a rectangle
Opposite sides of a rectangle are parallel and equal;
The four corners of a rectangle are right angles;
The diagonals of a rectangle are equal and bisect;
Properties of the midline on the hypotenuse of a right triangle
The midline of the hypotenuse of a right triangle is equal to half of the hypotenuse.
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