Answer:
Explanation:
a) To construct two points and the line that goes through these two points:
Select the "Point" tool and create two points on the GeoGebra canvas.
Then, select the "Line" tool and click on the first point, followed by the second point. This will create a line passing through the two points.
b) To construct a segment and extend it indefinitely in both directions:
Select the "Segment" tool and create a segment on the GeoGebra canvas.
To extend the segment indefinitely in both directions, select the "Arrow" tool and click on both endpoints of the segment. This will extend the segment infinitely in both directions.
c) To construct a circle with a given center and radius:
Select the "Circle" tool and click on the center point of the circle.
Then, click on a second point that lies on the circumference of the circle. This will create a circle with the given center and radius.
d) To construct two right angles and show that their measures are congruent:
Select the "Perpendicular Line" tool and draw a line segment.
Then, select the "Perpendicular Line" tool again and click on a point on the line segment. This will create a perpendicular line.
Repeat the above steps to create another perpendicular line at a different point on the original line segment.
Use the "Angle" tool to measure the angles formed by the perpendicular lines. The measures of the right angles should be equal.
e) To construct a line parallel to a given line through a point not on the line:
Select the "Line" tool and draw a line on the GeoGebra canvas.
Then, select the "Parallel Line" tool and click on the given line.
Finally, click on the point not on the line. This will create a line parallel to the given line and passing through the selected point.
Please note that you can use these instructions to perform the constructions in GeoGebra yourself and observe the results on your own device.