GeoGebra
You can use GeoGebra to draw angles. There are two methods you can use: The first method is to specify three points or two lines that define the angle. The second method is to specify the desired size of the angle.
GeoGebra Instruction 1
Angle Formed by Three Points or Two Lines
- 1.
- Open
Algebra ViewandGraphics Viewunder
Viewin
Menu. - 2.
- If you wish to find the angle between two lines, draw those lines now.
- 3.
- Select the
Angle
tool in Toolbar. - 4.
- Draw the angle in
Graphics Vieweither by clicking on three points inGraphics Viewor clicking on the two lines from Step 2. Recall that angles are drawn counterclockwise. - 5.
- The size of the angle will be displayed in
Algebra View. Notice that the sides of the angle have the same length. If you want to see the sides from the vertex to the endpoints, use theSegment
tool to draw the segments between the points so that they will be visible. Feel free to experiment drawing angles with different sizes.
GeoGebra Instruction 2
Angle with Given Size
- 1.
- Open
Algebra ViewandGraphics Viewin under Viewin Menu. - 2.
- Click
Point
in the Toolbar. - 3.
- Click where you want the vertex (top) of the angle to be. A point will be made there.
- 4.
- Then click on a point where you want one of the rays of the angle to go through.
- 5.
- Click
Angle with Given Size
in Toolbarby first clicking tool number 8, then tool number 2 in the drop-down list. - 6.
- Click the point from Step 4 first, then click the point from Step 3.
- 7.
- A box will now appear. Enter how large the angle should be in the text field.
If you want your angle to go clockwise, select the box below the text field.
Click
OK. - 8.
- If you want to draw the rays of the angle, then click
Segment by first clicking tool number 3, then tool number 2. Select the vertex and one of the other points. Repeat once more for the other point.
Example 1
Draw angles with sizes of , , and in GeoGebra.
Here, you choose the Angle with Given Size tool because it can precisely draw the angles you desire. You therefore follow Item 8 and type in the size of each angle.
