Alice starts with circle Q and a point R not on the circle. She wants to construct a line through R that is tangent to circle Q. She completes the following steps.
1. Draw segment RQ, where Q is the center of circle Q.
2. Find the midpoint, S, of segment RQ.
3. Draw circle S with a radius of RS.
4. Label a point T, where circle S intersects circle Q.
5. Draw line RT.
6. Draw segment QT.
Drag statements about Alice’s construction to show whether they are true, false, or if the truth of the statement cannot be determined.
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