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Special Segments in a Circle Worksheet  Form

Special Segments in a Circle Worksheet Form

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Instructions and help about special segments in circles worksheet answers

let's now look at how segments and circles relate to each other and specifically how the lengths of segments play out inside circles and the first situation I want to look at is one where we have two chords intersecting in a circle so I'm going to draw two cores intersecting in this circle and they're just in two intersecting in a random location and each chord is split into two parts and I'm going to call those parts a and B for the first chord and C and D for the second chord and it turns out that the product of the parts are equal for the two different chords and here's why that happens I'm going to go ahead and add a couple of segments to create two triangles and it turns out that these two triangles are similar and here's why first of all this vertical pair of angles are congruent also these two angles are congruent to each other because they sweep out or intercept the same arc and then finally these two angles are congruent to each other because they also sweep out a common arc

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