"Properties and Judgment of Rectangles" Special Parallelogram PPT Courseware 6

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"Properties and Judgment of Rectangles" Special Parallelogram PPT Courseware 6

The first step: Create scenarios and introduce new lessons

Question 1: What are the properties of parallelograms?

Question 2: Use an movable parallelogram teaching aid to demonstrate a change in an interior angle of a parallelogram. Please pay attention to the observation:

(1) Is the quadrilateral still a parallelogram during motion?

(2) What does the quadrilateral remain unchanged during motion?

(3) What changes in the quadrilateral during movement?

(4) Is there any special value during the change of angle size? What shape is the parallelogram at this time?

Definition of rectangle: A parallelogram with one internal angle that is a right angle is a rectangle

Pursue victory and perfect your nature

Question 1: Ask students to take out the prepared rectangular paper, fold it, observe and think.

(1) Is the rectangle a centrally symmetrical figure? If so, what is the center of symmetry?

(2) Is a rectangle an axially symmetrical figure? If so, how many axes of symmetry does it have?

Conclusion: A rectangle is an axisymmetric figure with two axes of symmetry.

Question 2: Could you please summarize what are the properties of a rectangle?

Summarize the properties of rectangles:

Side-wise, opposite sides of a rectangle are parallel and equal;

Angularly speaking, the four corners of a rectangle are right angles;

Diagonally speaking, the diagonals of a rectangle are equal and bisect each other;

In terms of symmetry, a rectangle is both an axially symmetrical figure and a centrally symmetrical figure.

What did you learn in this lesson?

(1) Definition of rectangle

(2) Properties of rectangle

(3) Properties of right triangles

(4) One diagonal line of the rectangle divides the rectangle into two congruent right triangles; two diagonal lines divide the rectangle into two pairs of congruent isosceles triangles.

Therefore, the problem of a rectangle can be solved by turning it into a problem of a right triangle or an isosceles triangle.

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Update Time: 2024-07-29

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