"Congruence of Figures" Triangle PPT Courseware 3

Description

"Congruence of Figures" Triangle PPT Courseware 3

Self-study requirements:

1. In mathematics, which transformations do not change the size and shape of graphics?

2. What are the corresponding vertices, corresponding sides, and corresponding angles of congruent shapes, congruent triangles, and congruent triangles?

3. How to express the congruence of triangles and what should be paid attention to when expressing it?

4. What is the key to identifying the corresponding sides and angles of congruent triangles?

Representation of congruent triangles

"Congruent" is represented by the symbol "≌"

Written as: △ABC≌△A′B′C′

When remembering two congruent triangles, usually write the letters representing the corresponding vertices in the corresponding positions.

concept

Two triangles that completely overlap are called congruent triangles.

When two congruent triangles coincide,

Vertices that overlap each other are called corresponding vertices

The edges that overlap each other are called corresponding edges.

Angles that coincide with each other are called corresponding angles

Find patterns for corresponding elements

(1) If there is a common edge, the common edge is the corresponding edge;

(2) If there are common angles, the common angle is the corresponding angle;

(3) If there are opposite vertex angles, the opposite vertex angles are corresponding angles;

(4) The longest side of two congruent triangles is the corresponding side, and the shortest side is the corresponding side;

(5) The largest angle of two congruent triangles is the corresponding angle, and the smallest angle is the corresponding angle;

Properties of congruent triangles

Corresponding sides of congruent triangles are equal and corresponding angles are equal.

∵△ABC≌ △DFE

∴ AB=DF, BC=FE, AC=DE

(Corresponding sides of congruent triangles are equal)

∴ ∠A= ∠D, ∠B= ∠F, ∠C= ∠E

(Corresponding sides of congruent triangles are equal)

1. Fill in the blanks

1. Two figures that can _____ are called congruent shapes;

2. When two congruent triangles overlap, the vertices that overlap each other are called _____; the sides that overlap each other are called _____; the angles that overlap each other are called _____;

3. The corresponding sides of congruent triangles are _____, and the corresponding angles are _____;

4. When two triangles are congruent, the letters representing the corresponding vertices are usually written in _____; for example, △ABC≌ △DFE, the corresponding vertices are _____;

5. When two triangles are congruent, the angle at the corresponding vertex is _____, the side opposite to the corresponding angle is _____, and the angle subtended by the corresponding side is _____.

2. Discussion

The picture below is an equilateral triangle. Can you divide it into two congruent triangles? Divide it into three or four congruent triangles?

3. Find the corresponding sides and angles of a pair of congruent triangles in the following figures.

Find patterns for corresponding elements

(1) If there is a common edge, the common edge is the corresponding edge;

(2) If there are common angles, the common angle is the corresponding angle;

(3) If there are opposite vertex angles, the opposite vertex angles are corresponding angles;

(4) The largest side of two congruent triangles is the corresponding side, and the smallest side is the corresponding side;

(5) The largest angle of two congruent triangles is the corresponding angle, and the smallest angle is the corresponding angle;

main content

1. What are the corresponding vertices, corresponding sides, and corresponding angles of congruent shapes, congruent triangles, and congruent triangles?

2. What should you pay attention to when indicating that triangles are congruent?

3. The key to identifying the corresponding sides and angles of congruent triangles is to correctly identify their corresponding vertices.

4. Pay attention to the application of graphic transformation ideas in mathematics, which helps to correctly and quickly identify congruent triangles from complex graphics.

Keywords: Triangle teaching courseware, congruent teaching courseware of graphics, Beijing Normal University edition seventh grade mathematics volume 2 PPT courseware, seventh grade mathematics slide courseware download, triangle PPT courseware download, congruent PPT courseware download of graphics, .ppt format

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"Congruence of Figures" Triangle PPT Courseware 2:

"Congruence of Figures" Triangle PPT Courseware 2 Definition of Congruent Figures Some of these figures are exactly the same. If you stack them together, they can overlap. Two figures that can overlap are called congruent figures. Congruence in life Application 1: Comment: Put a picture...

"Congruence of Figures" Triangle PPT Courseware:

"Congruence of Figures" Triangle PPT Courseware Learning Objectives: 1. Understand the concept of congruent figures. 2. Be able to identify congruent polygons (triangles) and their corresponding vertices, corresponding angles and corresponding sides. 3. Know the corresponding sides and angles of congruent polygons (triangles)..

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Update Time: 2024-07-29

This template belongs to Mathematics courseware Beijing Normal University seventh grade mathematics volume 2 industry PPT template

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