"Exploring the Conditions for Congruence of Triangles" Triangle PPT (Lesson 3)

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"Exploring the Conditions for Congruence of Triangles" Triangle PPT (Lesson 3)

Part One: Learning Objectives

1. Experience the process of exploring the congruence conditions of triangles, and experience the process of using operations and induction to obtain mathematical conclusions.

2. Master the "SAS" condition for congruent triangles.

3. In the process of exploring the congruence conditions of triangles and their applications, be able to think in an organized manner and conduct simple reasoning.

Exploring the conditions for congruence of triangles PPT, part 2: classic examples

[Example 1] The following statement about two triangles being congruent:

① Two triangles with three equal angles are congruent;

② Two triangles with three equal sides are congruent;

③ Two triangles are congruent if they have two angles and the opposite side of one of the angles is equal;

④Two triangles with two equal sides and one angle are congruent.

The correct number is ()

A.1 B.2

C.3 D.4

[Example 2] As shown in the figure, in △ABC and △DAE, ∠BAC=∠DAE, AB=AE, AC=AD, connect BD and CE, try to explain: △ABD≌△AEC.

Exploring the conditions for congruence of triangles PPT, Part 3: Variation practice

1. As shown in the figure, the following four conditions are given, AB=DE, BC=EF, ∠B=∠E, ∠C=∠F. Select any three conditions from them to make △ABC≌△DEF have a total of ()

A.Group 1 B.Group 2

C.3 group D.4 group

2. As shown in the figure, CD=CA, ∠1=∠2, EC=BC, try to explain: △ABC≌△DEC.

Exploring the conditions for congruence of triangles PPT, Part 4: Consolidate training

3. The two congruent triangles below are ()

A.①②　 B.②③ C.③④ D.①④

4. As shown in the figure, in △ABC and △A1B1C1, ∠A=∠A1, AB=A1B1, and which of the following conditions can be added to judge based on "SAS" that △ABC and △A1B1C1 are congruent ()

A.AB=A1C1

B.BC=B1C1

C.AC=A1C1

D.AC=B1C1

5. As shown in the figure, in the quadrilateral ABCD, AB∥CD, AB=CD, points E and F are two points on BD. If you add a condition such that △ABE≌△CDF, the added condition cannot be ()

A.∠1=∠2

B.BE=DF

C.AE=CF

D.∠AEB=∠CFD

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"Exploring the conditions for congruence of triangles" Triangle PPT courseware (Lesson 3):

"Exploring the Conditions for Congruence of Triangles" Triangle PPT Courseware (Lesson 3) Part One: Answering Questions and Answers 1. Complete the textbook and do it. What did you find? What conclusion was reached? Two triangles whose sides and angles are equal are congruent, abbreviated as sides..

"Exploring the Conditions for Congruence of Triangles" Triangle PPT Courseware (Lesson 2):

"Exploring the Conditions for Congruence of Triangles" Triangle PPT Courseware (Lesson 2) Part One: Answering Questions and Answers 1. Complete the textbook and do it. What did you find? What conclusion was reached? Two triangles whose angles and included sides are congruent (angle-side-angle or ASA) 2..

"Exploring the conditions for congruence of triangles" Triangle PPT courseware (Lesson 1):

"Exploring the Conditions for Congruence of Triangles" Triangle PPT Courseware (Lesson 1) Part One: Answering Questions and Answers 1. Complete the textbook and do it. What did you find? What conclusion was reached? Given one or two conditions, the two triangles drawn are not necessarily congruent; given...

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Update Time: 2024-11-03

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