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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
Vocabulary Point of Tangency = point where a circle and a tangent intersect
Vocabulary Inscribed in = circle is inscribed in a triangle Circumscribed about = triangle is circumscribed about the circle
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
Example #1 117 X Find X
Theorem 12.2 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
Example #2 Find X X
Theorem 12.3 The two segment tangent to a circle from a point outside the circle are congruent
Example #3 Find the perimeter of the triangle
Example #4 Find Y
Classwork/Homework Due Tuesday Pgs #2,3,8-10, 13-15, 17-19, 25 Due Wednesday Pgs #1,4-7, 11,12, 20, 23
Tangent Properties Objective: Discover properties of tangents.
Other Angle Relationships in Circles Section 10.4 Goal: - To solve problems using angles formed by tangents, chords and lines that intersect a circle.
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.
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)
Classifying Angles with Circles Case 1: Vertex is on the circle. a. b.
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.
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.
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.
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.
GEOMETRYGEOMETRY Circle Terminology. Radius (or Radii for plural) The segment joining the center of a circle to a point on the circle. Example: OA.
Bellwork 1) (x+3)(x+7) 2) (2x+4)(x-4) Segment Lengths in Circles.
10.1 Tangents to Circles Geometry Mr. Davenport Spring 2010.
Date: Sec 10-1 Concept: Tangents to Circles Objective: Given a circle, identify parts and properties as measured by a s.g.
4.6 Medians of a Triangle. Activity 4.6 Intersecting Medians.
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.
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.
Draw six segments that pass through every dot in the figure without taking your pencil off the paper. Session 55.
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.
Bellringer Solve for X. Parallel Lines and Proportional Parts 6-4.
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 Honors Section 9.1 Segments and Arcs of Circles.
GEOMETRYGEOMETRY Circle Terminology Free powerpoints at
1.7 Midpoint and Distance in the Coordinate Plane 9/22/10 You can use formulas to find the midpoint and the length of any segment in the coordinate plane.
Chapter 12 – Surface Area and Volume of Solids Section 12.1– Space Figures and Nets.
Medians and Centroid A median of a triangle is a line segment that is drawn from the _________ to the ___________ of the opposite side. A centroid is the.
Points Lines Planes Circles Polygons Congruency Similarity.
Date: Sec 5-4 Concept: Medians and Altitudes of a Triangle Objective: Given properties of medians and altitudes of triangles, we will solve problems as.
Sec 1-3 Concept: Use Midpoint and Distance Formulas Objective: Given coordinates in a plane, find lengths of segments as measured by a s.g.
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