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How to Construct Supplementary Angles in GeoGebra
You can easily create and display supplementary angles using GeoGebra
.
GeoGebra
Instruction 1
Adjacent Supplementary Angles
- 1.
- Open
Graphics View
underView
inMenu
. - 2.
- Select
Line
and draw a line in
Graphics View
. You should also get two points on your line named and . - 3.
- Select
Point on Object
and draw a point that is between and . This point will get the name .
- 4.
- Select
Point
and draw a point outside of the line from the previous step. This point will get the name .
- 5.
- Select
Angle
and click
, and ,
in that order. Repeat for the points
, and .
- 6.
- Select
Move
and drag point around. You’ll see that the sum of the two angles you drew is always .
GeoGebra
Instruction 2
Nonadjacent Supplementary Angles
- 1.
- Open
Graphics View
underView
inMenu
. - 2.
- Select
Line
. Click two points in the plane in
Graphics View
, but be sure to click the leftmost point first. You should get a line with two points named and , where is the leftmost point of the two. - 3.
- Select
Point
and draw a point above the line from the previous step. This point will be given the name .
- 4.
- Select
Segment
and click and .
- 5.
- Select
Parallel line
and click point , then the line segment you drew in the previous step.
- 6.
- Select
Perpendicular Line
and click point , then the parallel line you drew in the previous step.
- 7.
- Select
Intersect
and click the lines from Steps 5 and 6. This point should get the name .
- 8.
- Select
Angle
and click the points
, , and ,
in that order. After the angle is drawn, click the points
, , and ,
in that order.
- 9.
- Select
Move
and drag point around while making sure it’s always above the line. You’ll see that the sum of the two angles you drew is always .