11-1 Lines that Intersect Circles Quiz
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1 Name: lass: ate: I: 11-1 Lines that Intersect ircles Quiz Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Identify the secant that intersects ñ. a. c. b. l d.. Find the point of tangency and write the equation of the tangent line at this point. a. point of tangency: (3, 0); equation of the tangent line: x = 3 b. point of tangency: (3, 0); equation of the tangent line: y = 3 c. point of tangency: (, 0); equation of the tangent line: x + y = 3 d. point of tangency: (0, 0); equation of the tangent line: y = x + 3 1
2 Name: I: 3. and are tangent to ñp. Find. a. = 11 c. = b. = 1 d. = 10
3 I: 11-1 Lines that Intersect ircles Quiz nswer Section MULTIPLE HOIE 1. NS: secant is a line that intersects a circle at two points. is the secant that intersects ñ. orrect! This is a tangent. secant is a line that intersects the circle at two points. This is a diameter and a chord. secant is a line. This is a radius. secant is a line that intersects the circle at two points. PTS: 1 IF: asic REF: 1ccbefba df-9c7d f0dea OJ: Identifying Lines and Segments That Intersect ircles LO: MTH TOP: 11-1 Lines That Intersect ircles KEY: circle secant OK: OK. NS: tangent is a line in the same plane as a circle that intersects it at exactly one point. The point of tangency is the point where the tangent and a circle intersect. The point of tangency on ñ or ñ is (3, 0). The tangent line is vertical and passes through point (3, 0). Its equation is x = 3. orrect! The tangent line is a line in the same plane as a circle that intersects it at exactly one point. Find the point where the tangent and a circle intersect. Find the point where the tangent and a circle intersect. PTS: 1 IF: verage REF: 1cceb df-9c7d f0dea OJ: Identifying Tangents of ircles ST: NY.NYLES.MTH.05.GEO.G.G.50.b NY.NYLES.MTH.05.GEO.G.G.53.a LO: MTH MTH TOP: 11-1 Lines That Intersect ircles KEY: point of tangency circles OK: OK 1
4 I: 3. NS: = Theorem: If two segments are tangent to a circle from the same exterior point, then the segments are congruent. 3y + 4 = 11y Substitute. 4 = 8y Subtract 3y from both sides. y = 1 ivide both sides by. Ê = 3 1 Ë Á ˆ + 4 Substitute. = 11 Simplify. orrect! Substitute this value for y and solve for segment. heck your algebra. If two segments are tangent to a circle from the same exterior point, then the segments are congruent. PTS: 1 IF: verage REF: 1cd0b df-9c7d f0dea OJ: Using Properties of Tangents ST: NY.NYLES.MTH.05.GEO.G.G.50.a NY.NYLES.MTH.05.GEO.G.G.50.b NY.NYLES.MTH.05.GEO.G.G.53.a LO: MTH TOP: 11-1 Lines That Intersect ircles KEY: tangent segments circles OK: OK
5 Name: lass: ate: I: 11-1 Lines that Intersect ircles Quiz Multiple hoice Identify the choice that best completes the statement or answers the question. 1. and are tangent to ñp. Find. a. = c. = 1 b. = 11 d. = 10. Identify the secant that intersects ñ. a. c. l b. d. 1
6 Name: I: 3. Find the point of tangency and write the equation of the tangent line at this point. a. point of tangency: (0, 0); equation of the tangent line: y = x + 3 b. point of tangency: (, 0); equation of the tangent line: x + y = 3 c. point of tangency: (3, 0); equation of the tangent line: y = 3 d. point of tangency: (3, 0); equation of the tangent line: x = 3
7 I: 11-1 Lines that Intersect ircles Quiz nswer Section MULTIPLE HOIE 1. NS: = Theorem: If two segments are tangent to a circle from the same exterior point, then the segments are congruent. 3y + 4 = 11y Substitute. 4 = 8y Subtract 3y from both sides. y = 1 ivide both sides by. Ê = 3 1 Ë Á ˆ + 4 Substitute. = 11 Simplify. heck your algebra. orrect! Substitute this value for y and solve for segment. If two segments are tangent to a circle from the same exterior point, then the segments are congruent. PTS: 1 IF: verage REF: 1cd0b df-9c7d f0dea OJ: Using Properties of Tangents ST: NY.NYLES.MTH.05.GEO.G.G.50.a NY.NYLES.MTH.05.GEO.G.G.50.b NY.NYLES.MTH.05.GEO.G.G.53.a LO: MTH TOP: 11-1 Lines That Intersect ircles KEY: tangent segments circles OK: OK. NS: secant is a line that intersects a circle at two points. is the secant that intersects ñ. This is a radius. secant is a line that intersects the circle at two points. orrect! This is a tangent. secant is a line that intersects the circle at two points. This is a diameter and a chord. secant is a line. PTS: 1 IF: asic REF: 1ccbefba df-9c7d f0dea OJ: Identifying Lines and Segments That Intersect ircles LO: MTH TOP: 11-1 Lines That Intersect ircles KEY: circle secant OK: OK 1
8 I: 3. NS: tangent is a line in the same plane as a circle that intersects it at exactly one point. The point of tangency is the point where the tangent and a circle intersect. The point of tangency on ñ or ñ is (3, 0). The tangent line is vertical and passes through point (3, 0). Its equation is x = 3. Find the point where the tangent and a circle intersect. Find the point where the tangent and a circle intersect. The tangent line is a line in the same plane as a circle that intersects it at exactly one point. orrect! PTS: 1 IF: verage REF: 1cceb df-9c7d f0dea OJ: Identifying Tangents of ircles ST: NY.NYLES.MTH.05.GEO.G.G.50.b NY.NYLES.MTH.05.GEO.G.G.53.a LO: MTH MTH TOP: 11-1 Lines That Intersect ircles KEY: point of tangency circles OK: OK
9 Name: lass: ate: I: 11-1 Lines that Intersect ircles Quiz Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Identify the secant that intersects ñ. a. c. b. d. l. Find the point of tangency and write the equation of the tangent line at this point. a. point of tangency: (, 0); equation of the tangent line: x + y = 3 b. point of tangency: (0, 0); equation of the tangent line: y = x + 3 c. point of tangency: (3, 0); equation of the tangent line: y = 3 d. point of tangency: (3, 0); equation of the tangent line: x = 3 1
10 Name: I: 3. and are tangent to ñp. Find. a. = 1 c. = b. = 10 d. = 11
11 I: 11-1 Lines that Intersect ircles Quiz nswer Section MULTIPLE HOIE 1. NS: secant is a line that intersects a circle at two points. is the secant that intersects ñ. orrect! This is a diameter and a chord. secant is a line. This is a radius. secant is a line that intersects the circle at two points. This is a tangent. secant is a line that intersects the circle at two points. PTS: 1 IF: asic REF: 1ccbefba df-9c7d f0dea OJ: Identifying Lines and Segments That Intersect ircles LO: MTH TOP: 11-1 Lines That Intersect ircles KEY: circle secant OK: OK. NS: tangent is a line in the same plane as a circle that intersects it at exactly one point. The point of tangency is the point where the tangent and a circle intersect. The point of tangency on ñ or ñ is (3, 0). The tangent line is vertical and passes through point (3, 0). Its equation is x = 3. Find the point where the tangent and a circle intersect. Find the point where the tangent and a circle intersect. The tangent line is a line in the same plane as a circle that intersects it at exactly one point. orrect! PTS: 1 IF: verage REF: 1cceb df-9c7d f0dea OJ: Identifying Tangents of ircles ST: NY.NYLES.MTH.05.GEO.G.G.50.b NY.NYLES.MTH.05.GEO.G.G.53.a LO: MTH MTH TOP: 11-1 Lines That Intersect ircles KEY: point of tangency circles OK: OK 1
12 I: 3. NS: = Theorem: If two segments are tangent to a circle from the same exterior point, then the segments are congruent. 3y + 4 = 11y Substitute. 4 = 8y Subtract 3y from both sides. y = 1 ivide both sides by. Ê = 3 1 Ë Á ˆ + 4 Substitute. = 11 Simplify. Substitute this value for y and solve for segment. If two segments are tangent to a circle from the same exterior point, then the segments are congruent. heck your algebra. orrect! PTS: 1 IF: verage REF: 1cd0b df-9c7d f0dea OJ: Using Properties of Tangents ST: NY.NYLES.MTH.05.GEO.G.G.50.a NY.NYLES.MTH.05.GEO.G.G.50.b NY.NYLES.MTH.05.GEO.G.G.53.a LO: MTH TOP: 11-1 Lines That Intersect ircles KEY: tangent segments circles OK: OK
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