Evaluate: Homework and Practice
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1 valuate: Homework and ractice Use the figure for ercises 1 2. Suppose ou use geometr software to construct two chords S and TU that intersect inside a circle at V. Online Homework Hints and Help tra ractice 1. If ou measured V _, VS, TV, and VU _, what would be true about the relationship between their lengths? 2. Suppose ou drag the points around the circle and eamine the changes in the measurements. Would our answer to ercise 1 change? plain. Use the figure for ercises 3. Suppose ou use geometr software to construct two secants and that intersect outside a circle at F. Houghton Mifflin Harcourt ublishing ompan 3. If ou measured F _, F, F, and F _, what would be true about the relationship between their lengths? Find the value of the variable and the length of each chord. F H 10 M 7 G K L. Suppose ou drag F and eamine the changes in the measurements. Would our answer to ercise 3 change? plain. N J Module 1 23 Lesson
2 7. M is the midpoint of _, The diameter of circle O is 13 in. and M = in. a. Find M. M O b. Find. S. epresenting a eal-world roblem broken potter shard found at archaeological dig has a curved edge. Find the diameter of the original plate. (Use the fact that the diameter _ is the perpendicular bisector of chord _.) in. 3 in. 9. ritique easoning student drew a circle and two secant segments. He concluded that if S, then ST. o ou agree with the student s conclusion? Wh or wh not? Find the value of the variable and the length of each secant segment N H J 10 1 M 9 S L T Houghton Mifflin Harcourt ublishing ompan Image redits: vonsteck/ istockhoto.com Module 1 2 Lesson
3 12. Find the value of Find the value of the variable X V W z U 2 X F G H Houghton Mifflin Harcourt ublishing ompan 1. Tangent F and secants and are drawn to circle. etermine whether each of the following relationships is true or false. Select the correct answer for each lettered part. a. = True False b. = True False 2 c. = F True False d. = True False e. = True False f. = F True False 17. Which of these is closest to the length of tangent segment _? S U T 7 Module 1 2 Lesson
4 1. plain the rror elow is a student s work to find the value of. plain the error and find the correct value of. = 2 () = 2 2 = 2 = ± _ 2 = ±2 _ 19. epresent eal-world roblems Molokini is a small, crescent-shaped island 2 1_ 2 miles from the Maui, Hawaii, coast. It is all that remains of an etinct volcano. To approimate the diameter of the mouth of the volcano, a geologist used a diagram like the one shown. The geologist assumed that the mouth of the volcano was a circle. What was the approimate diameter of the volcano s mouth to the nearest ten feet? 110 ft 22. ft 20. Multi-step Find the value of both variables in the figure. 21. _ KL is a tangent segment of circle N and _ KM and _ LM are secants of the circle. Find the value of. F N 2 L 12 K Houghton Mifflin Harcourt ublishing ompan Image redits: M Swiet roductions/flickr/gett Images M Module 1 2 Lesson
5 H.O.T. Focus on Higher Order Thinking 22. Justif easoning rove the hord-hord roduct Theorem Given: hords _ and _ intersect at point. rove: = (Hint: raw _ and _.) 23. Justif easoning _ is a tangent segment of a circle with radius in. lies on the circle, and = in. Make a sketch and find the distance from to the circle. ound to the nearest tenth of an inch. plain our reasoning. 2. Justif easoning The circle in the diagram has radius c. Use this diagram and the hord-hord roduct Theorem to prove the thagorean Theorem. c c b a b c - a Houghton Mifflin Harcourt ublishing ompan 2. ritical Thinking The radius of circle is. =, and _ is a tangent segment. escribe two different methods ou can use to find. Module 1 27 Lesson
6 Lesson erformance Task The figure shows the basic design of a Wankel rotar engine. The triangle is equilateral, with sides measuring 10 inches. n arc on each side of the triangle has as its center the verte on the opposite side of the triangle. In the figure, the arc is an arc of a circle with its center at. a. Use the sketch of the engine. What is the measure of each arc along the side of the triangle? 10 in. b. Use the relationships in an equilateral triangle to find the value of. plain. c. Use the hord-hord roduct Theorem to find the value of. plain. Houghton Mifflin Harcourt ublishing ompan Image redits: dpa/dpa/ orbis Module 1 2 Lesson
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Name Class Date 16.3 Sector rea Essential Question: How do you find the area of a sector of a circle? Explore Derive the Formula for the rea of a Sector sector of a circle is a region bounded by two radii
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Name Class Date 20.2 Connecting Intercepts and Linear Factors Essential Question: How are -intercepts of a quadratic function and its linear factors related? Resource Locker Eplore Connecting Factors and
10.1 circles and circumference 2017 ink.notebook. March 13, Page 91. Page 92. Page 90. Ch 10 Circles Circles and Circumference.
Page 90 Page 91 Page 92 Ch 10 Circles 10.1 Circles and Circumference Lesson Objectives Page 93 Standards Lesson Notes Page 94 10.1 Circles and Circumference Press the tabs to view details. 1 Lesson Objectives
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Skills Practice Skills Practice for Lesson.1 Name Date Meeting Friends The Distance Formula Vocabular Define the term in our own words. 1. Distance Formula Problem Set Archaeologists map the location of