Drawing Angles using Protractor
[b]Step 1: [/b]Draw a[b] ray[/b] that will serve as one of the rays (or side)[b] of the angle[/b]. [br][br]In the example below, ray AB is one of the rays of the angle.
[i][b]Step 2[/b][/i]: Place the center of the protractor on the vertex of the angle. [br][br]In the example below, the center of the protractor was placed in point A.
[b][i]Step 3[/i][/b]: Align the baseline of the protractor with one ray (side) of the angle.[br][br]In the example below, the baseline was aligned with side AB.
[size=100][i][b]Step 4[/b][/i]: Match the 0° mark on the appropriate scale of the protractor with the ray (or side) you aligned in step 3.[br][br]In the example below, the 0° mark where the ray is located is on the inner scale.[/size]
[b][i]Step 5[/i][/b]: Starting from the 0° mark, [b]follow the rotation[/b] from the ray positioned in Steps 3 and 4. Identify the measure of the angle to be constructed and [b]mark that point[/b].[br][br]In the example below, the angle to be constructed measures 75°, with the point C indicating its location.
[b][i]Step 6[/i][/b]: Draw [b]a ray[/b] passing through the vertex and the point marked in Step 5.
[b][i]Step 1[/i][/b]: Use a ruler to [b]draw a straight line segment of the given length[/b]. Label the endpoints as A and B.[br][br]In GeoGebra, you can use the [b]Segment with a Given Length tool[/b]. [icon]/images/ggb/toolbar/mode_segmentfixed.png[/icon][br][br]In the example below, the length of the segment is 5 units.
[i][b]Step 2[/b][/i]: Place the center of the protractor on the vertex of the angle. [br][br]In the example below, the center of the protractor was placed in point B, as it is set as the vertex of the angle.
[b][i]Step 3[/i][/b]: Align the baseline of the protractor with one ray (side) of the angle.[br][br]In the example below, the baseline was aligned with side AB.
[i][b]Step 4[/b][/i]: Match the 0° mark on the appropriate scale of the protractor with the ray (or side) you aligned in step 3.[br][br]In the example below, the 0° mark where the ray is located is on the outer scale.
[b][i]Step 5[/i][/b]: Starting from the 0° mark, [b]follow the rotation[/b] from the ray positioned in Steps 3 and 4. Identify the measure of the angle to be constructed and [b]mark that point[/b]. Note that this point is a[i] temporary mark only.[/i] [br][br]In the example below, the angle to be constructed measures 120°, with the point O indicating its location.
[b][i]Step 6[/i][/b]: Align the ruler so that it passes through the vertex and the temporary mark from Step 5. Draw a straight line. [color=#0d0d0d]. Note that this is a [i]temporary line only[/i]. [br][br][/color]In GeoGebra, you can use the [b]Ray[/b] [b]tool[/b]. [icon]/images/ggb/toolbar/mode_ray.png[/icon]
[b][i]Step 7[/i][/b]: On the temporary line in Step 6, [b]draw a straight line considering the given length of the second segment. [br][br][/b]In GeoGebra, utilize the[b] Segment with a Given Length [icon]/images/ggb/toolbar/mode_segmentfixed.png[/icon][/b] tool. Drag the endpoint of the constructed segment to align it with the temporary line from Step 6.[br][br][br]In the example below, the length of the segment is 8 units.
[b][i]Step 8[/i][/b]: Erase the temporary marks.
Draw an 80° angle with side lengths of 4 units and 6 units.