1 / 12

5-Minute Check on Lesson 10-6

Transparency 10-7. 5-Minute Check on Lesson 10-6. Find x. Assume that any segment that appears to be tangent is tangent . 2. 3. 4.

kmckoy
Download Presentation

5-Minute Check on Lesson 10-6

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Transparency 10-7 5-Minute Check on Lesson 10-6 • Find x. Assume that any segment that appears to be tangent is tangent. • 2. • 3. 4. • 5. What is the measure of XYZ if YZ is tangent to the circle? 70° 125° 110° 35° Standardized Test Practice: A B C D C 250 55 110 125 Click the mouse button or press the Space Bar to display the answers.

  2. Lesson 10-7 Segments inside and outside the Circle

  3. Objectives • Find measures of segments that intersect in the interior of a circle • Find measures of segments that intersect in the exterior of a circle

  4. Circles – Special Segments Two ChordsInside a Circle Two SecantsFrom Outside Point Secant & Tangent From Outside Point J J K K K L L T J N N M M M LJ · JM = NJ · JK JK · JM = JL · JN JT · JT = JK · JM Inside the circle, it’s the pieces of the chordsmultiplied together Outside the circle, it’s the pieces outside multiplied by the whole length

  5. Example 7-1a Find x. Theorem 10.15 Multiply. Divide each side by 8. Answer: 13.5

  6. Example 7-1c Find x. Answer: 12.5

  7. Draw a model using a circle. Let x represent the unknown measure of the equal lengths of the chord BF, which is the length of the organism. Use the products of the lengths of the intersecting chords to find the length of the organism. E x B H x F G Example 7-2a BIOLOGY Biologists often examine organisms under microscopes. The circle represents the field of view under the microscope with a diameter of 2 mm. Determine the length of the organism if it is located 0.25 mm from the bottom of the field of view. Round to the nearest hundredth. Answer: 0.66 mm

  8. Find x if EF10, EH8, and FG24. Example 7-3a Secant Segment Products Substitution Distributive Property Subtract 64 from each side. Divide each side by 8. Answer: 34.5

  9. Find xif and Example 7-3c Answer: 26

  10. Example 7-4a Find x. Assume that segments that appear to be tangent are tangent. Disregard the negative solution. Answer: 8

  11. Example 7-4c Find x. Assume that segments that appear to be tangent are tangent. Answer: 30

  12. Summary & Homework • Summary: • The measure of an angle formed by two secant lines is half the positive difference of its intercepted arcs • The measure of angle formed by a secant and tangent line is half its intercepted arc • Homework: • pg 572 – 573; 8-10; 13-17; 22-24

More Related