Spi.3.1 Use algebra and coordinate geometry to analyze and solve problems about geometric figures (including circles). Check.2.2 Approximate pi from a.

Slides:

Advertisements

Similar presentations

10.1 Tangents to Circles.

Advertisements

Tangent/Radius Theorems

Chapter 12.1 Tangent Lines. Vocabulary Tangent to a circle = a line in the plane of the circle that intersects the circle in exactly one point.

10.5 Tangents & Secants.

Arcs Tangents Angles Sphere Circumference What is Unit 3 about?

Tangents Chapter 10 Section 5. Recall What is a Circle –set of all points in a plane that are equidistant from a given point called a center of the circle.

Section 9-2 Tangents.

10.1 Use Properties of Tangents.  Circle - the set of all points in a plane that are equidistant from a given point.  Center - point in the middle of.

Advanced Geometry Lesson 3 Circles

Tangents to Circles Pg 595. Circle the set of all points equidistant from a given point ▫Center Congruent Circles ▫have the same radius “Circle P” or.

Lesson 6.1 – Properties of Tangent Lines to a Circle

Tangency. Lines of Circles EXAMPLE 1 Identify special segments and lines Tell whether the line, ray, or segment is best described as a radius, chord,

Welcome back. Warm up Use Pythagorean Theorem to find the missing side. Round to the nearest tenths. 8.2 yd 8.3 m 2.2 ft.

9 – 2 Tangent. Tangents and Circles Theorem 9 – 1 If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of.

Tangents Sec: 12.1 Sol: G.11a,b A line is ______________________ to a circle if it intersects the circle in exactly one point. This point.

Circles – Tangent Lines A tangent line touches a circle at exactly one point. In this case, line t is tangent to circle A. t A.

Properties of Tangents of a Circle

Geometry June 8, 2015Geometry 10.1 Tangents to Circles2 Goals  Know properties of circles.  Identify special lines in a circle.  Solve problems with.

6.1 Use Properties of Tangents

Geometry Honors Section 9.2 Tangents to Circles. A line in the plane of a circle may or may not intersect the circle. There are 3 possibilities.

10.1 Tangents to Circles Circle: the set of all points in a plane that are equidistant from a given point. Center: the point from which all points of.

9 th Grade Geometry Lesson 10-5: Tangents. Main Idea Use properties of tangents! Solve problems involving circumscribed polygons New Vocabulary Tangent.

5-Minute Check on Lesson 10-4 Transparency 10-5 Click the mouse button or press the Space Bar to display the answers. Refer to the figure and find each.

Properties of Tangents. EXAMPLE 1 Identify special segments and lines Tell whether the line, ray, or segment is best described as a radius, chord, diameter,

11-1 Tangent Lines Learning Target: I can solve and model problems using tangent lines. Goal 2.03.

Tangent Applications in Circles More Problems Using Pythagorean Theorem.

Tangents. Definition - Tangents Ray BC is tangent to circle A, because the line containing BC intersects the circle in exactly one point. This point is.

EXAMPLE 1 Identify special segments and lines Tell whether the line, ray, or segment is best described as a radius, chord, diameter, secant, or tangent.

Lesson 7.3. If the diameter of a circle is 15 units in length, how long is the circle's radius?(answer in a decimal)

Welcome to Interactive Chalkboard Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc.,

10.1 Tangents to Circles.

10-5 Tangents You used the Pythagorean Theorem to find side lengths of right triangles. Use properties of tangents. Solve problems involving circumscribed.

9-5 Tangents Objectives: To recognize tangents and use properties of tangents.

10.1 Use Properties of Tangents

9-2 Tangents Theorem 9-1 (p. 333)

10.5 Tangents Tangent: a line that shares only one point with a circle and is perpendicular to the radius or diameter at that point. Point of tangency:

Tangents May 29, Properties of Tangents Theorem: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point.

Tangents November 21, Properties of Tangents Theorem: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the.

11.1 Tangent Lines Chapter 11 Circles.

10.1 Tangent Properties to a Circle. POD 1. What measure is needed to find the circumference or area of a circle? 2. Find the radius of a circle with.

Theorem 12-1: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency. Point of tangencyA B O P.

C HAPTER Circles and Circumference 10.2 Angles and Arcs 10.3 Arcs and Chords 10.4 Inscribed Angles 10.5 Tangents 10.6 Secants, Tangents, and Angle.

Chapter 10 Definitions Chord Tangent Secant Central Angle Inscribed Angle Circumference Radius Diameter Arc Circle Success is dependent on effort. SophoclesSophocles.

Check.4.40 Find angle measures, intercepted arc measures, and segment lengths formed by radii, chords, secants, and tangents intersecting inside and outside.

Spi.4.2 Define, identify, describe, and/or model plane figures using appropriate mathematical symbols (including collinear and non-collinear points, lines,

12.1 Parts of Circles and Tangent Lines Geometry.

10-6 Find Segment Lengths in Circles. Segments of Chords Theorem m n p m n = p q If two chords intersect in the interior of a circle, then the product.

Properties of Tangents

Section 10.5 Notes: Tangents Learning Targets Students will be able to use properties of tangents. Students will be able to solve problems involving.

11.1; chord 22. tangent 23. diameter 24. radius

Tangent Lines Geometry 11-1.

12-1 Tangent Lines.

Lesson 8-3 Tangents Lesson 8-3: Tangents.

Tangents to Circles A line that intersects with a circle at one point is called a tangent to the circle. Tangent line and circle have one point in common.

Lesson 8-3 Tangents.

Geometry CP Mrs. Mongold

10-5: Tangents.

Lesson 8-3 Tangents Lesson 8-3: Tangents.

Section 9-2 Tangents.

Tangents Tangent - A line in the plane of a circle that intersects the circle in exactly one point. Point of Tangency – The point of intersection between.

Chapter 10-5 Tangents.

Warm-Up Given circle O has a radius of 12 in., and PR is a diameter:

Tangents to Circles.

Geometry Section 10.1.

To recognize tangents and use the properties of tangents

Tangents to Circles.

Tangents to Circles Advanced Geometry.

Section 10-1 Tangents to Circles.

Tangents Solve problems involving circumscribed polygons.

Presentation transcript:

Spi.3.1 Use algebra and coordinate geometry to analyze and solve problems about geometric figures (including circles). Check.2.2 Approximate pi from a table of values for the circumference and diameter of circles using various methods (e.g. line of best fit). Check.4.39 Identify lines and line segments associated with circles. Spi.4.8 Solve problems involving area, circumference, area of a sector, and/or arclength of a circle. Spi.4.13 Identify, analyze and/or use basic properties and theorems of circles to solve problems (including those relating right triangles and circles) Tangents

Constructions, page 720 and lab on Page 726

Constructions

10.5 Tangents Action is the foundational key to all success. Pablo Picasso Objective: Identify tangents and solve problems involving circumscribed polygons O R T If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency. Converse: If a line is perpendicular to the radius at its endpoint, then the line is tangent to a circle. D A B C If two segments from the same exterior point are tangent to a circle, then they are congruent. AB  BC

Find Lengths ED is tangent to circle F at point E. Find x. Tangent meets at a right angle x 2 = x = 5

Find Lengths SR is tangent to circle Q at point R. Find y. Tangent meets at a right angle 20 2 = x – 256 = 144 = x 2 X=12 Y = 24

Determine if MN is tangent to circle L Is  LMN a right triangle? LN = LO + ON LN = = = Yes MN is tangent Determine is PQ is tangent to circle R RP = RS + SP = = =  41 No it is not tangent

Find X, assume AD, AC and AB are tangents AB  AC and AC  AD AB  AD reflexive property -2x + 37 = 6x = 8x 4 = x AB = -2(4) + 37 = 29

Circumscribed Polygons

Triangle ADC is circumscribed about circle O. Find the perimeter of ADC if EC = DE + AF DE = 6 FA = 19 BC = EC = = 25 Perimeter = 2(6) + 2(19) + 2(25) = = 100

Circumscribed Polygons Triangle HJK is circumscribed about circle G. Find the perimeter of HJK if NK = JL + 29 JL = 16 HN = 18 MK = NK = = 45 Perimeter = 2(16) + 2(18) + 2(45) = 158

Tangents Summary Practice Assignment: Page 722, even* Honors Page 722, 12 – 24 even* and 30 O R T If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency. Converse: If a line is perpendicular to the radius at its endpoint, then the line is tangent to a circle. D A B C If two segments from the same exterior point are tangent to a circle, then they are congruent. AB  BC