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Congruent chords and arcs worksheet answer key
3) x = 7. 4) x = 3. 8) x = 93˚ 9) x = 3. Answer Key. 1) x = 27˚, AB = ˚ 2) x = 4. 5) x = 40˚ 6) a) AD ≈ BE b) x = 10 c) m arc AD = ˚ d) m arc BD = ˚ 7) x = 7. Vocabulary. Holt McDougal Geometry. Arcs and Chords central angle semicircle arc adjacent arcs minor arc congruent arcs major arc. You can find answers, opinions and more information for congruent chords and arcs worksheet answer key. . Reddit is a social news website where you can find and submit content. x = 5. 4x - 11 = 9. 4x = Divide each side by 4. MN = 4(5) + MN = 20 + MN = 6. Answer. Subtract 2x from each side. Add 11 to each side. Because the chords LM and MN are congruent and they are bisected by the radii, QM = MR. 6x - 11 = 2x + 9. Find MN: MN = 2(MR) MN = 2(2x + 9) MN = 4x + Substitute x = 5. Then, m∠arc XY = m∠arc YZ m∠arc XY = (6x - 20)° In the circle above, m∠arc XY + m∠arc YZ + m∠arc ZX = ° (6x - 20)° + (6x - 20)° + 76° = ° 6x - 20 + 6x - 20 + 76 = Combine the like terms. 12x + 36 = Subtract 36 from each side. Answer: In the diagram above, m∠arc YZ = (6x - 20)° And also, the two chords YZ and XY are congruent. . Congruent, Chords & Arcs Date: Class: Notes Two chords are congruent if and only If: If a diameter or radius is m mcÞ to a chord. -hjsrOs—the choa then it and its —FB and m m HB 2. Theorem Congruent chords have congruent arcs. Several relationships between chords, arcs, and the central angles of a circle are listed below.