GEO: 11-2 QC (arcs & chords)

1. Write T for True or F for False for the following 2 statements: A) Congruent arcs have congruent central anglesand congruent central angles have congurentsecants. B) Congruent central angles have congruent chords and congruent chords have congruent arcs. T or F T or F 2. Given central arc BC ≅ arc DE, find the measure of the central angles below in circle A. 4x + 7 5x - 5 m∡BAC = m∡CAE = o o 3. Chords DE and BC are congruent. Find the measure of DE in circle A. 25y 30y - 20 DE = units 4. Angle and Arc Find: Find all the missing angles and arcs using the information given for circle A. 90 ^{o}m∡EAB = arc FEB = arc BF = m∡BAF 5. Angle and Arc Find: Find all the missing angles and arc measures for circle A. 133 ^{o}arc DEF = m∡DAF = m∡BAE = arc BF = 6. Given that EG ≅ DG which of the following statements is true when looking at circle A? G AG ≅ ED AB perpendicular to ED AB ≅ ED arc ED = 90 ^{o}7. Given that EG ≅ DG find the length of chord ED if the radius of the circle = 5 and GB = 1 in circle A. G 1 5 ED = 8. Given that chord ED = 12 and AG = 7, find the radius of the circle and GB to the nearest tenth. G radius= GB = 9. Given that BG = 9 and GA = 5 find the following measures in circle A. 9 5 radius= ED = round to the nearest tenth. 10. Given that BG = 4 and GA = 2 find the following measures in circle A. 4 2 radius= ED = round to the nearest tenth. 11. Tell which statement is true about circle A. m (arc) BC = ½ ∡BAC m (arc) BC = m∡BAC m (arc) BDC = 180 ^{o}m (arc) BDC = 90 ^{o}12. The circle graph describes how a typical college student spends their monthly allowance. Find the measure of arc AB and arc CE. A G B E D arc AB = C arc CE = 13. Given central ∡BAC = 63 ^{o }and arc BC ≅ arc DE, find the measure of the arcs listed below in circle A.63 ^{o}arc DCE = arc DE = arc DB = o o o |

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