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11-1 Tangent Lines Tangent/Radius Theorems Two Tangents Theorem
Vocabulary Tangent to a circle Point of tangency A line in the same plane of a circle that intersects the circle in exactly one point. The point where a circle and a tangent intersect.
Theorem 11-1 If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency. P O A B
#1 Finding Angle Measures is tangent to. Find the value of x. D O xoxo E 38 o
Theorem 11-2 If a line in the plane of a circle is perpendicular to a radius at its endpoint on the circle, then the line is tangent to the circle. P O A B
#2 Finding a Tangent A belt fits tightly around two circular pulleys. Find the distance between the centers of the pulleys. P O 4 cm 3 cm 15 cm x 7 cm 3 cm 15 cm
#3 Finding a Tangent If NL = 4, LM = 7, and NM = 8, is tangent to a at L? N L M 4 7 8
Vocabulary Inscribed in Circumscribed about All vertices of a figure lie on the circle. When a circle is inscribed in a figure.
Theorem 11-3 The two segments tangent to a circle from a point outside the circle are congruent. A O B C
#4 Circles Inscribed in Polygons Circle O is inscribed in Triangle PQR. Triangle PQR has a perimeter of 88 cm. Find QY. P O Q R X Z Y 17 cm 15 cm 17 cm x x
Tangent Properties Objective: Discover properties of tangents.
Section 10.1 Circles Notes What is a CIRCLE? A CIRCLE is the set of all points in a plane equidistant from a given point.
Circles Chapter Tangents to Circles Circle: the set of all points in a plane that are equidistant from a given point. Center: the given point.
A chord that goes through the center of a circle diameter.
FeatureLesson Geometry Lesson Main (For help, go to Lesson 1-7.) Lesson an angle bisector 2. a perpendicular bisector of a side 3. Draw GH Construct.
Other Angle Relationships in Circles Section 10.4 Goal: - To solve problems using angles formed by tangents, chords and lines that intersect a circle.
Classifying Angles with Circles Case 1: Vertex is on the circle. a. b.
1.Circle Notes A circle is the set of all points in a plane at a given distance from a given point Circles (Part 1)
Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55.
Area of Polygons and Circles Chapter Angle Measures in Polygons The sum of the measures of the interior angles of a polygon depends on the number.
GEOMETRYGEOMETRY Circle Terminology. Radius (or Radii for plural) The segment joining the center of a circle to a point on the circle. Example: OA.
5.3 Bisectors in a Triangle When three or more lines intersect at one point, they are concurrent. –The point at which they intersect is the point of concurrency.
1.Quiz Review a)Is this polygon convex or concave? How do you know? b)Give three names for the polygon. c)What is happening When you assume? d)Draw an.
Constructions Involving Circles Section 7.4. Definitions Concurrent: When three or more lines meet at a single point Circumcenter of a Triangle: The point.
Line A straight path that goes on forever in both directions; it is named by any two points on the line. ZY ZY or YZ.
10.1 Tangents to Circles Geometry Mr. Davenport Spring 2010.
Points Lines Planes Circles Polygons Congruency Similarity.
GEOMETRYGEOMETRY Circle Terminology Free powerpoints at
Geometry Points, Lines, and Shapes!. Plane plane A flat surface that stretches into infinity.
Geometry Honors Section 9.1 Segments and Arcs of Circles.
1 Unit 3 Angles and Parallel Lines. 2 Transversal Definition: A line that intersects two or more lines in a plane at different points is called a transversal.
1 G.2a Angles and Parallel Lines. 2 Transversal Definition: A line that intersects two or more lines in a plane at different points is called a transversal.
Date: Sec 10-1 Concept: Tangents to Circles Objective: Given a circle, identify parts and properties as measured by a s.g.
Section 1.5 Special Points in Triangles. CONCURRENT The point where 3 or more lines intersect.
MODULE I VOCABULARY PART II. FIGURE IT OUT! The first new term we will discuss is distance. Distance a measurement of the length of how far something.
Radius- Is the edge to the middle of the circle. Diameter- It goes throw the whole center of the circle.
3.1 Identify Pairs of Lines and Angles. Parallel Lines Coplanar Do not intersect Segments and rays are parallel if they lie on parallel lines. A D C.
. . CONSTRUCTION OF A RIGHT TRIANGLE IF THE ONE ANGLE OF A TRIANGLE IS 90,IT IS CALLED RIGHT TRIANGLE.
Chapter 12 – Surface Area and Volume of Solids Section 12.1– Space Figures and Nets.
Geometry Jeopardy. Solids Polygons Lines & Angles Figures in Motion Volume, Area & Perimeter $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200.
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