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>Angles>How to Construct Supplementary Angles in GeoGebra

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 under View in Menu.
2.: Select Line and draw a line in Graphics View. You should also get two points on your line named $A$ and $B$ .
3.: Select Point on Object and draw a point that is between $A$ and $B$ . This point will get the name $C$ .
4.: Select Point and draw a point outside of the line from the previous step. This point will get the name $D$ .
5.: Select Angle and click
$A$ , $C$ and $D$ ,

in that order. Repeat for the points

$D$ , $C$ and $B$ .
6.: Select Move and drag point $D$ around. You’ll see that the sum of the two angles you drew is always $180$ °.

GeoGebra Instruction 2

Nonadjacent Supplementary Angles

1.

Open Graphics View under

View in

Menu.

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

A

and

B

, where

A

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

C

.

4.

Select Segment

and click

B

and

C

.

5.

Select Parallel line

and click point

A

, then the line segment you drew in the previous step.

6.

Select Perpendicular Line

and click point

C

, 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

D

.

8.

Select Angle

and click the points

C

,

B

, and

A

,

in that order. After the angle is drawn, click the points

$B$ , $A$ , and $D$ ,

in that order.

9.

Select Move

and drag point

C

around while making sure it’s always above the line. You’ll see that the sum of the two angles you drew is always

180

°.

Screenshot of GeoGebra showing two nonadjacent supplementary angles

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