"Exploring the Conditions for Congruence of Triangles" Triangle PPT Courseware 2

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"Exploring the Conditions for Congruence of Triangles" Triangle PPT Courseware 2

review:

1.What is a triangle?

A graphic formed by connecting three line segments end to end;

2.What are congruent triangles? What are the properties of congruent triangles?

Triangles that can overlap completely.

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

think about it

To draw a triangle that is congruent with the triangle drawn by Xiao Ming, how many conditions related to the size of the sides or angles are needed?

When drawing a triangle with only one condition (one side or one angle), will the triangles we draw must be congruent?

Give it a try

Two conditions?

Draw a triangle according to the two conditions given below, and compare with other students!

(1) One angle of the triangle is 30° and one side is 6cm;

(2) The two sides of the triangle are 4cm and 6cm respectively;

(3)The two angles of the triangle are 30° and 60° respectively.

In-class links

1. Are two right triangles with two equal acute angles congruent? Why?

2. Known: As shown in the figure, AB=CD, AD=BC, E and F are two points on BD, and AE=CF, DE=BF. How many pairs of congruent triangles are there in the figure? Give reasons.

3. Known: As shown in the figure, AB=CD, AD=BC. Are ∠A and ∠C equal? Why?

What did you learn in this lesson?

1. Determination of congruence of triangles:

Two triangles with three corresponding equal sides are congruent ("side-side-side" or "SSS")

2. Triangles are stable.

Give it a try

1. As shown in the figure, AB=CD, AC=BD, are △ABC and △DCB congruent? Try to explain why.

Solution: △ABC≌△DCB

In △ABC and △DCB

AB=CD

AC=DB

BC = CB

So △ABC ≌ △DCB ( )

2. As shown in the figure, D and F are two points on the line segment BC, AB=EC, AF=ED. To make △ABF≌△ECD, the condition BF=CD or BD=CF is also required.

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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: 2024-10-13

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

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