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In this step-by-step guide, learn how to copy an angle using basic geometric tools: a compass and a straightedge. Starting with angle BAC, follow the outlined steps to create a reference line and accurately mark points to replicate the angle. This method involves setting the compass width to measure segments, drawing arcs, and finding intersections to ensure the copied angle QPR is congruent to the original angle CAB. Perfect for students and enthusiasts of geometry.
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Copying an Angle Alissa Morris 4 Hour Honors Geometry
Step 1 Start with angle BAC.
Step 2 Using the straightedge, draw a reference line and place a point P near the left end.
Step 3 Set the compass width to the distance AC, and without adjusting the compass, place it on P and mark an arc across the line. This establishes the point Q.
Step 4 With the compass on point A set its width to the point B.
Step 5 Without changing the compass width, place the compass point on the point P and draw an arc above the line.
Step 6 Place the compass point on C and set its width to the point B.
Step 7 Without changing the compass width, place the compass point on the point Q and draw an arc across the previously drawn arc. The intersection of these two arcs becomes point R.
Step 8 Using the straightedge, draw a line from point P to R where the arcs intersect.
Step 9 The angle QPR is congruent to the angle CAB.