"How to determine the congruence of triangles" PPT courseware

Description

"How to determine the congruence of triangles" PPT courseware

How many cases are there when two triangles have two sides and one angle that are equal to each other?

Can the two triangles be determined to be congruent in both cases?

Experimentation and inquiry

Determination method 1 Two triangles with equal sides and their included angles are congruent.

This determination method is often abbreviated as "Signal Edge" or "SAS".

Expressed in symbolic language as:

In △ABC and △A′B′C′:

AB=A′B′,∠B=∠B′,BC= B′C′

∴△ABC≌△ A′B′C′ (SAS)

Example 1 As shown in Figure 1-10, it is known that AB=AD, ∠BAC=∠DAC, are △ABC and △ADC congruent? Explain your reasons.

Solution: △ABC and △ADC are congruent. The reason is:

In △ABC and △ADC,

∵ AB=AD,∠BAC=∠DAC, AC=AC;

∴ △ABC≌△ADC (SAS).

Summary

Determination method 1 Two triangles with equal sides and their included angles are congruent.

This determination method is often abbreviated as "Signal Edge" or "SAS".

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"How to Determine Congruence of Triangles" PPT Courseware 4:

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"How to Determine Congruence of Triangles" PPT Courseware 3:

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"How to Determine Congruence of Triangles" PPT Courseware 2:

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Update Time: 2024-11-17

This template belongs to Mathematics courseware Qingdao Edition Eighth Grade Mathematics Volume 1 industry PPT template

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