Apply Other Angle Relationships in Circles Section 10.5
Apply Other Angle Relationships in Circles Section 10.5
Apply Other Angle Relationships in Circles Section 10.5
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<strong>Apply</strong> <strong>Other</strong> <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong>March 19, 2013<strong>Section</strong> <strong>10.5</strong>
<strong>Apply</strong> <strong>Other</strong> <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong>March 19, 2013If a tangent and achord <strong>in</strong>tersect ata po<strong>in</strong>t on a circle,then the measureof each angleformed is one halfthe measure of its<strong>in</strong>tercepted arc.<strong>Section</strong> <strong>10.5</strong>
<strong>Apply</strong> <strong>Other</strong> <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong>March 19, 2013L<strong>in</strong>e m is tangent to the circle. F<strong>in</strong>d x or y.<strong>Section</strong> <strong>10.5</strong>
<strong>Apply</strong> <strong>Other</strong> <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong>March 19, 2013<strong>Section</strong> <strong>10.5</strong>
<strong>Apply</strong> <strong>Other</strong> <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong>March 19, 2013If two chords<strong>in</strong>tersect <strong>in</strong>side acircle, then themeasure of eachangle is one half thesum of the measuresof the arcs<strong>in</strong>tercepted by theangle and its verticalangle.<strong>Section</strong> <strong>10.5</strong>
<strong>Apply</strong> <strong>Other</strong> <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong>March 19, 2013F<strong>in</strong>d the value of x.<strong>Section</strong> <strong>10.5</strong>
<strong>Apply</strong> <strong>Other</strong> <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong>March 19, 2013If a tangent and a secant, two tangents, or two secants<strong>in</strong>tersect outside a circle, then the measure of theangle formed is one half the difference of themeasures of the <strong>in</strong>tercepted arcs.<strong>Section</strong> <strong>10.5</strong>
<strong>Apply</strong> <strong>Other</strong> <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong>March 19, 2013F<strong>in</strong>d the value of x.<strong>Section</strong> <strong>10.5</strong>
<strong>Apply</strong> <strong>Other</strong> <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong>March 19, 20131. Solve for 2. Solve for x.<strong>Section</strong> <strong>10.5</strong>
<strong>Apply</strong> <strong>Other</strong> <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong>March 19, 20133. Solve for y. 4. Solve for x.<strong>Section</strong> <strong>10.5</strong>
<strong>Apply</strong> <strong>Other</strong> <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong>March 19, 20137. Solve for x and y.<strong>Section</strong> <strong>10.5</strong>