"Congruence of Figures" Triangle PPT Download

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"Congruence of Figures" Triangle PPT Download

Part One: Learning Objectives

1. Know the concepts and properties of congruent figures, congruent polygons, and congruent triangles

2. Be able to find the corresponding elements of congruent polygons and congruent triangles, and be able to use the congruence of graphics to solve some simple problems.

Key points and difficulties in learning

Find the corresponding sides and angles of congruent polygons; explore the properties of congruent figures

Apply the properties of congruent graphics to solve practical problems

Congruent PPT of graphics, part 2: introduction of situations

Find a pair of identical shapes in the picture on the right and point out how they differ from the other picture.

think

Some of these shapes are exactly the same. If you stack them together, they will overlap.

Can you find such shapes in the picture respectively?

Definition of congruent figures

Two figures that can completely overlap are called congruent figures.

Congruent PPT of graphics, the third part: text analysis

Judgment of congruent figures

The basic method to determine whether two figures are congruent is to overlap them and see if they can overlap each other. However, in many cases, it is not necessary to overlap two figures to know whether they are congruent.

Characteristics of congruent figures

(1) Can you name examples of congruent shapes in life?

(2) Observe the following two sets of figures. Are they congruent figures?

(3) If two figures are congruent, must their shapes and sizes be the same?

Congruent figures have the same shape and size

Properties of congruent triangles

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

∵△ABC≌ △A‘B’C‘

∴ AB=A’B‘, BC=B’C‘, AC=A’C‘

(Corresponding sides of congruent triangles are equal)

∴ ∠ A= ∠ A’, ∠ B= ∠B‘, ∠ C= ∠C’

(Corresponding angles of congruent triangles are equal)

Congruent PPT of graphics, part 4: practice

The congruent shapes in Figure 1 are ( )

A 2 groups B 3 groups

C 4 groups D 5 groups

As shown in the figure, if △ABC≌△EFC, and CF=3cm, ∠EFC=64°, then BC=_____cm, ∠B=_____.

Can you also find the lengths of which sides and the measures of which angles?

As shown in the figure, it is known that △ABC≌△DCB, and AB=DC, point out the corresponding angles and the other two sets of opposite sides.

Solution: The corresponding angles are ∠A and ∠D, ∠ABC and ∠DCB, ∠ACB and ∠DBC, and the corresponding sides are AC and DB, BC and CB.

Congruent PPT of graphics, part 5: Class summary

1. The concept of congruent graphics

Congruent figures: Two figures that can ________ are called congruent figures

2. Characteristics of congruent graphics

Features: ______ and ______ of congruent figures are the same.

Explanation: (1) If two congruent figures are known in advance, they can be found to be the same size, that is, knowing the area of ​​one figure can determine the area of ​​the other figure. (2) The characteristics of congruent figures can be used as a basis to judge whether two figures are congruent. First, check whether their shapes are the same, and then whether their sizes are equal.

3. Congruent triangles

Definition: Two ______ that can completely overlap are called congruent triangles.

Corresponding vertices: Vertices that can overlap.

Corresponding edges: edges that can overlap.

Corresponding angles: angles that can overlap.

4. Properties of congruent triangles

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

Notation: expressed with "≌", pronounced as "all equal to"

Note: The letters representing the corresponding points should be written in the corresponding positions.

Keywords: Free download of Beijing Normal University edition seventh-grade mathematics PPT courseware volume 2, congruent PPT download of graphics, download of triangle PPT, .PPT format;

For more information about the "Congruence of Triangular Figures" PPT courseware, please click on the Congruence PPT tab of Triangular PPT Figures.

"Congruence of Figures" Triangle PPT courseware download:

"Congruence of Figures" Triangle PPT Courseware Download Part One: Answering Questions and Answers 1. Complete the textbook and do it. What did you find? What conclusion was reached? Draw an angle bisector of a triangle to get two congruent triangles. Draw the three interior angles of the triangle...

"Congruence of Figures" Triangle PPT teaching courseware:

"Congruence of Figures" Triangle PPT Teaching Courseware Part One Content: Learning Objectives 1. Understand the concept of congruent shapes and be able to judge whether two figures are congruent shapes. 2. Understand the concept of congruent triangles and be able to identify congruent triangles Corresponding sides and corresponding angles in . (Difficulty...

"Congruence of Figures" Triangle PPT:

"Congruence of Figures" Triangle PPT Part One Content: Learning Objectives 1. Understand the concepts and characteristics of congruence of figures through examples and be able to identify the congruence of figures. 2. Master the properties that corresponding sides and corresponding angles of congruent triangles are equal and Able to perform simple reasoning and calculations...

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Update Time: 2024-07-02

This template belongs to Mathematics courseware Beijing Normal University Edition Seventh Grade Mathematics Volume 2 industry PPT template

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