"Rectangle" PPT courseware

Description

"Rectangle" PPT courseware

Part One: Introduction of New Course

1. Rectangle: A parallelogram with a right angle is called a rectangle.

2. Properties of rectangle:

Properties of Rectangle Theorem 1: The four corners of a rectangle are right angles.

Properties of Rectangle Theorem 2: The two diagonals of a rectangle are equal.

Corollary of the property theorem: The midline of the hypotenuse of a right triangle is equal to half the length of the hypotenuse.

Rectangular PPT, part 2: practice

1. The length of the short side of the rectangle is 3cm, and the obtuse angle formed by the two diagonals is 120°, then its diagonal length is _______.

2. It is known that the diagonal length of the rectangle is 4cm and the length of one side is ______cm,

Then the area of ​​the rectangle is ________.

3. True or False Questions

(1). A rectangle is a parallelogram ( )

(2). The two diagonals of the rectangle divide the rectangle into four isosceles triangles with equal areas ( )

Rectangular PPT, the third part: theorem verification

Determination theorem of rectangle: A quadrilateral with three right angles is a rectangle

Known: In quadrilateral ABCD, ∠A＝∠B＝∠C＝90°

Prove: Quadrilateral ABCD is a rectangle.

Prove: ∵∠A＝∠B＝90°

∴∠A＋∠B＝180°

∴AD∥BC

Similarly: AB∥CD

∴ Quadrilateral ABCD is a parallelogram

∵∠A＝90°

∴ Quadrilateral ABCD is a rectangle

Rectangular PPT, Part 4: Practice

1. Among the following conditions, which one cannot determine that quadrilateral ABCD is a rectangle ( ).

A． AB∥CD, AB=CD, AC=BD

B. ∠A=∠B=∠D=90°

C． AB=BC, AD=CD, and ∠C=90°

D． AB=CD, AD=BC, ∠A=90°

2. The quadrilateral that can be enclosed by the bisectors of the interior angles of a parallelogram is ( )

A.Trapezoid

B. Rectangle

C. Square

D. Not a parallelogram

3. Which of the following statements is wrong ( )

A. A parallelogram with one right angle is a rectangle.

B. The four corners of a rectangle are all right angles, and the diagonals are equal

C. A parallelogram with equal diagonals is a rectangle

D. A quadrilateral with two right angles is a rectangle

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for eighth grade volume 2, rectangular PPT download, .PPT format;

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Update Time: 2024-07-05

This template belongs to Mathematics courseware Hebei Education Edition Eighth Grade Mathematics Volume 2 industry PPT template

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