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Here are 2 circles with centers and .
Based on the diagram, decide whether each statement is true. Be prepared to share your reasoning.
Use straightedge and compass moves to build your own pattern, using the circle and radius as a place to start. As you make your pattern, record each move on a separate sheet of blank paper. Use precise vocabulary so someone could make a perfect copy without seeing the original. Include instructions about how to shade or color your pattern.
Use the following straightedge and compass moves to create a line parallel to the given line that goes through point :
We can use straightedge and compass moves to construct interesting patterns. What if someone else wants to make the same pattern? We need to communicate how to reproduce the pattern precisely. Compare these sets of instructions:
It is important to label points and segments, such as point or segment , to communicate precisely.
These are instructions to construct a line parallel to a given line. We say that two lines are parallel if they don’t intersect. We also say that two segments are parallel if they extend into parallel lines.
Two lines that never intersect are called parallel. Line segments can also be parallel if they extend into parallel lines.
This figure shows two parallel line segments.