Qingdao Edition Eighth Grade Mathematics Volume 1

Description

"Congruent Triangles" PPT Courseware 4

learning target

1. Understand the concepts of congruent shapes and congruent triangles;

2. Understand the properties of congruent triangles and be able to find the corresponding vertices, corresponding sides, and corresponding angles of congruent triangles;

3. Use the properties of congruent triangles to solve both simple and comprehensive problems;

Preview and try to solve the following questions

1. What are congruent shapes? What are the characteristics of congruent shapes?

2. What are congruent triangles?

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

3. How to represent congruent triangles?

4. What are the properties of congruent triangles?

1: Concept and characteristics of congruent shapes

Concept: Two plane figures that can completely overlap are called congruent shapes

Features: Same shape, equal size

2. Congruent triangles and corresponding vertices, corresponding sides, and corresponding angles

Two triangles that completely overlap are called congruent triangles.

When two congruent triangles completely overlap, the vertices that overlap each other are called corresponding vertices, the sides that overlap each other are called corresponding sides, and the angles that overlap each other are called corresponding angles.

3. Representation method of congruent triangles

"Congruent" uses the symbol "≌"

Described as △ABC≌ △DEF,

Pronounced as △ABC, it is equal to △DEF

When two triangles are congruent, the letters representing the corresponding vertices are usually written in the corresponding positions.

True or False

1) The corresponding sides of congruent triangles are equal and the corresponding angles are equal. ( )

2) Congruent triangles have equal perimeters and equal areas. ( )

3) Triangles with equal areas are congruent triangles. ( )

4) Triangles with equal perimeters are congruent triangles. ( )

Practice in class

1. △ABC≌△FED

⑴Write equal line segments in the figure.

⑵In addition to being equal, do the line segments in the figure have any other relationship? Please communicate with your peers and write it out.

2. As shown in the figure, the rectangle ABCD is folded along AM so that point D falls at point N on BC. If AD=4cm, DM=3cm, ∠DAM=39°, then AN=___cm, NM=___cm, ∠NAB= ___.

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"Determination of Congruent Triangles" PPT courseware 5:

"Determination of Congruent Triangles" PPT Courseware 5 Teaching Objectives In the teaching of this lesson, not only should students learn how to identify congruent triangles with sides, angles, and sides, but more importantly, students should master the method of researching problems and initially Understand the mathematical ideas of classification discussion. From...

"Determination of Congruent Triangles" PPT Courseware 4:

"Determination of Congruent Triangles" PPT Courseware 4 Write the converse of the following proposition. The corresponding sides of congruent triangles are equal, the corresponding angles are equal, the corresponding sides are equal, and the corresponding angles are equal. Conjecture that each triangle has three sides and three angles , if you want to judge two triangles...

"Determination of Congruent Triangles" PPT courseware 3:

"Determination of Congruent Triangles" PPT Courseware 3 Discussion: In the above, according to the given conditions, two triangles with different shapes are drawn. This shows that when the two sides of the two triangles and the opposite angle of one of the sides are equal, , these two triangles are not necessarily congruent, do you think...

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Update Time: 2024-10-01

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