Paragraph Proofs - mdk12
Paragraph Proofs - mdk12
Paragraph Proofs - mdk12
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<strong>Paragraph</strong> <strong>Proofs</strong> (Continued)<br />
5. Angles inscribed in a semicircle are right angles.<br />
Given:<br />
∠ B is inscribed in circle O<br />
B<br />
Prove:<br />
ABC is a semicircle<br />
∠ B is a right angle<br />
A<br />
.<br />
O<br />
.<br />
D<br />
C<br />
6. If a quadrilateral is inscribed in a circle, then the opposite angles are supplementary.<br />
Given: Quadrilateral ABCD is<br />
inscribed in circle O<br />
Prove:<br />
∠ A is supplementary to ∠ C<br />
∠ B is supplementary to ∠ D<br />
A<br />
B<br />
C<br />
.<br />
O<br />
.<br />
D<br />
B<br />
7. Parallel lines intercept congruent arcs on a circle.<br />
Given:<br />
AB<br />
CD<br />
A<br />
Prove: AC ≅ BD<br />
(Hint: Draw segment AD)<br />
C<br />
D<br />
Lesson Plan: Different Methods of Proof<br />
Page 2