Section 6.4: Proving Circle Conjectures
In this lesson, you will prove Inscribed Angles conjecture. But how? Let’s use our reasoning strategies to make a plan. By thinking backward, we see that a central angle gives us something to compare an inscribed angle with. If one side of the inscribed angle is a diameter, then we can form a central angle by adding an auxiliary line. But what if the circle’s center is not on the inscribed angle? There are three possible cases.
Let’s break the problem into parts and consider one case at a time.
- The circle’s center is on the inscribed angle.
- The circle’s center is outside the inscribed angle.
- The circle’s center is inside the inscribed angle.
Let’s break the problem into parts and consider one case at a time.
Notes and Powerpoints
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