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PRACTICE WITH PARALLEL AND PERPENDICULAR LINES

Instructions

Background On the GeoGebra page, there are three lines (red, blue, green) and three drag points (A,B,C). Use the MOVE Toolbar Imagetool to move the drag points as you try to construct the following  challenges. In your responses to the questions with each Challenge:  Use color to identify the lines: red, blue, or green.  Use the notation ADC and BEC to identify the angles. Challenge 1 Organize the lines so that the red and blue lines are parallel. How can you prove that they are parallel? Challenge 2 Organize the lines so that the green line is perpendicular to the red line but the green line is not  perpendicular to the blue line. How can you prove your construction is correct? Challenge 3 Organize the lines so that the green line is perpendicular to the red line and the green line is also  perpendicular to the blue line. How can you prove your construction is correct? What can you say about the red and blue line?