"Sum of Interior Angles Theorem of a Triangle" Proof of Parallel Lines PPT Courseware 2

"Sum of Interior Angles Theorem of a Triangle" Proof of Parallel Lines PPT Courseware 2

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"Sum of Interior Angles Theorem of a Triangle" Proof of Parallel Lines PPT Courseware 2

learning target

1. Use jigsaw puzzle to verify the sum of the interior angles of a triangle.

2. Be able to understand and master the proof process of the sum of interior angles theorem of a triangle.

3. Be able to flexibly apply the triangle interior angle sum theorem to perform simple calculations and reasoning proofs.

Create situations to stimulate interest:

There are three interior angles in a right triangle. Usually, the three brothers are very united. But one day, the second child suddenly became unhappy and lost his temper. He pointed at the eldest child and said: "Why do you have the greatest degree? I want to fight with you too." The same size!" "No!" said the eldest brother: "This is impossible, otherwise, our family will no longer be able to surround it..." "Why?" The second eldest child was puzzled.

Students, do you know the reason?

Theorem: The sum of the three interior angles of a triangle is 180°

discuss

Can there be two right angles in a triangle?

Can a triangle have two obtuse angles?

Can all three interior angles be less than 600?

New knowledge application

(1) In △ABC, ∠A=35°, ∠B=43°, then ∠C=______.

(2) In △ABC, ∠C=90°, ∠B=50°, then ∠A =______.

(3) In △ABC, ∠A=40°, ∠A=2∠B, then ∠C =______.

What did you learn in this lesson? ? ?

1. Theorem of the sum of the interior angles of a triangle: The sum of the three interior angles of a triangle is equal to 180°

2. Through thinking, exploring, and summarizing the theorem of the sum of the interior angles of a triangle, we found that to prove that the sum of the three interior angles of a triangle is equal to 180°, it needs to be converted into: the sum of the interior angles of a straight angle or two straight lines parallel to the same side is equal to 180°.

3. In the theorem proof of the sum of the interior angles of a triangle, the essence of adding auxiliary lines is to move the angles through parallel lines.

Keywords: Proof of parallel lines courseware, sum of interior angles of a triangle theorem courseware, Beijing Normal University edition eighth grade mathematics volume PPT courseware, eighth grade mathematics slide courseware download, proof of parallel lines PPT courseware download, sum of interior angles of a triangle theorem PPT courseware download, .ppt format

For more information about the PPT courseware "Proof of Interior Angles of Triangles and Parallel Lines Theorem", please click on the Proof of Interior Angles of Triangles and Parallel Lines Theorem ppt ppt tag.

"Sum of Interior Angle Theorem of a Triangle" PPT courseware 2:

"The Sum of the Interior Angles of a Triangle Theorem" PPT Courseware 2 Practical Operation Is there any way you can verify it? Can you come up with a way to prove it from the process of joining angles just now? Proof Method 1 The sum of the interior angles of a triangle is equal to 180. Extend BC to D, in △The outside of ABC, with CA as one side, C..

"Sum of Interior Angles Theorem of a Triangle" PPT courseware:

"The Sum of the Interior Angles of a Triangle Theorem" PPT courseware preview check 1. What are the sum of the interior angles of a triangle theorem and its corollaries 1 and 2? 2. What is inference? Can the corollary be used as a theorem? 3. What is an auxiliary line? What lines are usually drawn as auxiliary lines? Question 1 Triangle..

"Proof of the Sum of the Interior Angle Theorem of a Triangle" Proof PPT Courseware 4:

"Proof of the sum of the interior angles of a triangle theorem" Proof PPT courseware 4 [Learning objectives]: 1. Proof of the sum of the interior angles of a triangle theorem. 2. Master the theorem of the sum of the interior angles of a triangle, and initially learn to use auxiliary lines to prove problems [important and difficult points in learning] 1. focus: triangles The sum of interior angles theorem...

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