Equations Quiz and Tangents

Slides:



Advertisements
Similar presentations
Equation of Tangent line
Advertisements

OBJECTIVES: STUDENTS WILL BE ABLE TO… USE THE RELATIONSHIP BETWEEN A RADIUS AND A TANGENT USE THE RELATIONSHIP BETWEEN 2 TANGENTS FROM ONE POINT FIND THE.
Homework Review. CCGPS Geometry Day 26 ( ) UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3.
THE DERIVATIVE AND THE TANGENT LINE PROBLEM
Ch 11 mini Unit. LearningTarget 11-1 Tangents I can use tangents to a circle to find missing values in figures.
6.1 Use Properties of Tangents
Solving Systems of Equations by Graphing
What is a tangent?  A tangent (Line AB) is a line that intersects the outside of the circle.  The point of tangency (Point P) is where the line intersects.
 The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle.
CIRCLES: TANGENTS. TWO CIRCLES CAN INTERSECT… in two points one point or no points.
Warm – up Session 48. EOCT Review Homework Review.
TISK & 2 MM Lesson 9-5: Tangents Homework: 9-5 problems in packet 2 Monday, February 11, 2013 Agenda
Tangent Applications in Circles More Problems Using Pythagorean Theorem.
Solving Absolute Value Equations. Warm Up With a partner find the absolute value of the following:
Section 3-6: Slopes of Parallel and Perpendicular Lines Goal 2.02: Apply properties, definitions, and theorems of angles and lines to solve problems and.
 One way we can prove that a line is tangent to a circle is to use the converse of the Pythagorean Theorem.
TODAY IN GEOMETRY… Stats on Ch. 8 Test
Chapter 10: Circles 10.1: Tangents to Circles.
Equations of Circles.
Lesson: Introduction to Circles - Tangents, Arcs, & Chords
11.1; chord 22. tangent 23. diameter 24. radius
Geometry 11.5 Solar Eclipses.
Chapter 10: Properties of Circles
Module 19: Lesson 5 Angle Relationships in Circles
Equations of Circles.
Tangent Lines A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point. The point where a circle and.
Lesson 19.2 and 19.3.
Notes Over 10.3 r is the radius radius is 4 units
Concentric and Tangent Circles
Lines that Intersect Circles
Warm-Up #33 3. Find x. 1. What is the perimeter of a regular hexagon if one of the side is 10 inches. 2. Find x X = 36 degrees Perimeter = 60 units X =
Section 10.1 Tangents to Circles.
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.
THE DERIVATIVE AND THE TANGENT LINE PROBLEM
10-5: Tangents.
Circle Centre (a, b) radius r
11.7 Circles in the Coordinate Plane
Equations of Circles.
Homework Answers.
Circles and the Pythagorean Theorem
11.3 – Writing and Graphing Circles
Intersections of Circles and Tangent Segments
Homework Review Tangents
Chapter 10-5 Tangents.
4.1 Equations of circles Arcs, Inscribed Angles, Central Angles
Module 19: Lesson 3 Tangents and Circumscribed Angles
Section 10.4 Other Angle Relationships in Circles
9-2 Tangents Theorem : If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.
Section 10.4 – Other Angle Relationships in Circles
Problem of the Day Question 2 Job 8
Tangents to Circles.
Problem of the Day Solve for y and graph the equation: 4x – 5y = 14 a) State the rate of change b) State the y - intercept.
More Pythagorean Theorem type problems! Yeah!! 
Secant Radius Diameter Chord Tangent
Secant Radius Diameter Chord Tangent
Tangent Lines Skill 48.
Warm-Up Compare and Contrast ∠
More Pythagorean Theorem type problems! Yeah!! 
Secants, Tangents, and Angle Measures
Tangents.
8.4 Tangent Properties A tangent line is a line that meets the circle at exactly one point. The point of tangency.
Essential Question Standard: 21 What are some properties of
Warm Up. What measure is needed to find the circumference or area
12.1 Tangent Lines By Brit Caswell.
Section 10-1 Tangents to Circles.
Chapter 10 Circles.
AGENDA 1.) Agenda and Objectives 2.) Grouping and Definitions
Tangents Solve problems involving circumscribed polygons.
Chapter Equations of Circles.
Geometry Tuesday Discussion/Notes/Guided Practice Turn in:
Presentation transcript:

Equations Quiz and Tangents SOL G.12 By the end of class today, I will be able to solve problems about the equation of a circle and tangents to circles, as evidenced by scoring at least 75% on a class quiz and completing a problem set of problems on these topics. Essential Questions -How does the equation of a circle relate to the graph of that same circle?

Today’s Agenda Homework Review Equations of Circles Quiz Tangents of Circles Exit Ticket

CODE YELLOW Homework Review

CODE YELLOW A Tangent Line intersects a circle at only one point, called the point of tangency. A line is tangent to a circle only if it creates a right angle with the radius of a circle at the point of tangency. To prove a line is tangent, use the Pythagorean Theorem:

CODE YELLOW

CODE YELLOW

CODE YELLOW

CODE GREEN

CODE YELLOW More Tangent Line Properties

CODE YELLOW

CODE YELLOW

CODE YELLOW More Tangent Line Properties

CODE YELLOW

CODE GREEN