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Section 9-2 Tangents
Theorem 9-1 If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.
Point of Tangency
Corollary Tangents to a circle from a common point are congruent P B A
Theorem 9-2 If a line in the plane of a circle is perpendicular to the radius at its outer endpoint, then the line is tangent to the circle.
When each side of a polygon is tangent to a circle, the polygon is said to be circumscribed about the circle and the circle is inscribed in the polygon.
Common tangent A line that is tangent to each of two coplanar circles
Common internal tangent Intersects the segment joining the centers A B
Common external tangent Does not intersect the segment joining the centers. A B
Tangent circles Coplanar circles that are tangent to the same line at the same point
Externally Tangent A B l
Internally Tangent C D l
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.
A chord that goes through the center of a circle diameter.
Constructions Involving Circles Section 7.4. Definitions Concurrent: When three or more lines meet at a single point Circumcenter of a Triangle: The point.
10.1 Tangents to Circles Geometry Mr. Davenport Spring 2010.
Geometry Honors Section 9.1 Segments and Arcs of Circles.
Date: Sec 10-1 Concept: Tangents to Circles Objective: Given a circle, identify parts and properties as measured by a s.g.
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)
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.
Other Angle Relationships in Circles Section 10.4 Goal: - To solve problems using angles formed by tangents, chords and lines that intersect a circle.
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.
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.
Points Lines Planes Circles Polygons Congruency Similarity.
GEOMETRYGEOMETRY Circle Terminology. Radius (or Radii for plural) The segment joining the center of a circle to a point on the circle. Example: OA.
Classifying Angles with Circles Case 1: Vertex is on the circle. a. b.
Bellwork 1) (x+3)(x+7) 2) (2x+4)(x-4) Segment Lengths in Circles.
Section 1.5 Special Points in Triangles. CONCURRENT The point where 3 or more lines intersect.
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.
Objectives: 1.To find the intercepts of a graph 2.To use symmetry as an aid to graphing 3.To write the equation of a circle and graph it 4.To write equations.
Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55.
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.
Honors Geometry Section 5.5 Areas of Regular Polygons.
12.6 Surface Area and Volume of Spheres Geometry.
POINTS, LINES, & RAYS. POINT A point is a location in space that has no length, width, or height. READ: point C WRITE: C C.
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.
1.3 Segments, Rays, Lines and Planes Parts of Lines Segment The part of a line consisting of two endpoints and all the points in between.
Geometry Points, Lines, and Shapes!. Plane plane A flat surface that stretches into infinity.
If parallel lines lie in two distinct planes, the planes must be parallel.
Basics of Geometry 1.4 Intersections 1.5 Segments.
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