Detailed steps to verify that the sum of the interior angles of a triangle is 180° using Geometry Sketchpad

php editor Strawberry will introduce you to the detailed steps of Geometric Sketchpad to verify that the sum of the interior angles of a triangle is 180°. How to prove that the sum of the interior angles of a triangle is 180° is a common problem for many beginners. By following the steps below, we can clearly understand and prove this important geometric property.

1. Create a new file, select the [Line Segment] tool, and draw a line segment in the workspace.

2. Move the mouse to coincide with one endpoint of the line segment, then press and move to draw the second side.

3. Use the [Line Segment] tool to click on one endpoint of the third side, release it and move the mouse to the other endpoint to click.

4. Use the [Text] tool to click on each vertex to get △ABC as shown in the picture.

(2) Measure the degrees of three angles

1. Click the [Select] tool in the toolbox.

2. Click points A, B, and C in sequence, which selects ∠ABC (note that the vertex of the angle is selected in the middle).

3. Click the menu [Measurement] - [Angle] to measure the degree of ∠ABC (note: the format is a little different from the commonly used one).

4. Use the same method to measure the degrees of ∠BCA and ∠CAB.

(3) Use the calculator to find the sum of interior angles

1. Click the menu [Data] - [Calculate? ] to bring up the calculator.

2. Click [m∠ABC=? ], [calculator number], [m∠BCA=? 】,【 】,【m∠CAB=? ], and finally click [OK].

Note: The calculator should be as shown in the picture before clicking OK.

3. Finally, as shown in the figure, you can use the [Select] tool to drag the vertices of the triangle to dynamically demonstrate that the sum of the interior angles is 180°.

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