Arcs and Chords | MathHelp.com @yourteachermathhelp

Uploaded January 2016 | Updated September 2026, 2 weeks ago

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This lesson covers arcs and chords. Students learn the following theorems related to arcs and chords. In the same circle or congruent circles, if two arcs are congruent, then their chords are congruent. If a diameter is perpendicular to a chord, then it bisects the chord and its arc. In the same circle or congruent circles, if two chords are the same distance from the center of a circle, then the chords are congruent. Students are then asked to solve problems related to these theorems using Algebra.

$Adding Mixed Numbers | MathHelp.com Need a custom math course? Visit http://www.MathHelp.com. This lesson covers adding mixed numbers. Students learn to add mixed numbers by first adding the fractions, then adding the whole numbers. For example, to add 4 2/5 + 7 4/5, first add 2/5 + 4/5 to get 6/5, then add 4 + 7 to get 11. So 4 2/5 + 7 4/5 = 11 6/5. Notice, however, that the answer, 11 6/5, contains an improper fraction, 6/5, which is the same as 1 1/5, so 11 6/5 can be rewritten as 11 + 1 1/5, which simplifies to 12 1/5. So 4 2/5 + 7 4/5 = 12 1/5. Note that some of the problems in this lesson also require the student to find a common denominator for the fractions. For example, 5 1/4 + 6 3/8.$

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