Task #7: Constructing Triangles with Given Specifications

Follow the steps below to construct triangle ABC.[br][br][icon]https://www.geogebra.org/images/ggb/toolbar/mode_segment.png[/icon]1. Use the grid markings and the segment tool to construct a segment of length 7. (You can check the length of your segment in the menu to the left.)[br][br][icon]/images/ggb/toolbar/mode_anglefixed.png[/icon]2. Use the Angle with a Given Size tool to construct a 42 degree angle at one end of your segment. (Click the left endpoint, then the right endpoint, then type in 42 degrees and select "clockwise." [b]Note: For some reason, this tool works best for me when I type in the degree value, then move my cursor past the degree symbol in that text box.[/b])[br][br][icon]/images/ggb/toolbar/mode_join.png[/icon]3. Construct a line through the right endpoint of the segment and the new point that was created when you constructed the angle.[br][br][icon]https://www.geogebra.org/images/ggb/toolbar/mode_anglefixed.png[/icon]4. Use the Angle with a Given Size tool to construct a 73-degree angle at the opposite end of your segment. (Click the right endpoint, then the left endpoint, then type in 73 degrees and select "counterclockwise.")[br][br][icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon]5. Construct a line through the left endpoint of the segment and the new point that was created by step 4.[br][br][icon]/images/ggb/toolbar/mode_intersect.png[/icon]6. Use the intersect tool to mark the intersection of the two constructed lines, creating a triangle.[br][br][icon]/images/ggb/toolbar/mode_polygon.png[/icon]7. Use the Polygon tool to fill in your triangle. (Click all three vertices, then the original vertex again.)[br][br]8. Answer the question below.
If someone else followed the above instructions to construct a triangle, would their triangle necessarily be congruent to yours? Why or why not?
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