Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Slides:



Advertisements
Similar presentations
Circle Geometry Conjecture: a mathematical statement that appears likely to be true, based on your observations, but has not been proven.
Advertisements

Angles in a Circle Keystone Geometry
Area of Circles with Exercises Geometry Regular Program SY Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
1 Lesson 6.3 Inscribed Angles and their Intercepted Arcs Goal 1 Using Inscribed Angles Goal 2 Using Properties of Inscribed Angles.
Parallelograms Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
Proving that a quadrilateral is a Parallelogram Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007)
Warm up Find the measure of each lettered angle..
Chapter 12.3 Inscribed Angles
Arcs and Angles Continued
11-3 Inscribed Angles Learning Target: I can solve problems using inscribed angles. Goal 2.03.
SECANTS Secant - A line that intersects the circle at two points.
Circle Properties - Ch 6 Chord Central Angles Conjecture If two chords in a circle are congruent, then they determine two central angles that are…....congruent.
12.3 Inscribed Angles An angle whose vertex is on the circle and whose sides are chords of the circle is an inscribed angle. An arc with endpoints on the.
Sect Inscribed Angles Geometry Honors. What and Why What? – Find the measure of inscribed angles and the arcs they intercept. Why? – To use the.
Inscribed angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and.
Geometry Mr. Bower BowerPower.net. What is an inscribed ∠ ?
Tangents to CirclesCircles Secants and Tangents Secant 2 points of intersection Tangent 1 point of intersection Point of Tangency.
Review: Central Angles/Arc Measure. Inscribed Angles Angle formed by 3 points ON THE CIRCLE.
Inscribed Angles. Inscribed Angles and Central Angles A Central angle has a vertex that lies in the center of a circle. A n inscribed angle has a vertex.
Inscribed Angles Inscribed angles have a vertex on the circle and sides contain chords of the circle.
Section 9-5 Inscribed Angles. Inscribed angles An angle whose vertex is on a circle and whose sides contain chords of the circle. A B C D are inscribed.
Lesson 7.4. Conjectures Geo Sketchpad C-68 The measure of an inscribed angle in a circle is half the measure of the arc it intercepts.
Geometry 10.4 Inscribed Angles. Vocabulary Inscribed Angle Intercepted Arc B A C.
Inscribed Angle A measures _____ Arc BC measures _____ Central Angle measures _____.
10.4 Inscribed Angles. Open a new geogebra file 1)Construct a circle A. 2)Place a point C on the circle such that arc BC is a minor arc. 3)Find the measure.
Area of Regular Polygons with exercises Geometry Regular Program SY Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.
Indirect Measurement Geometry Regular Program SY Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
Geometry/Trig 2Name: __________________________ Fill In Notes – 9.4 Chords and Arcs Date: ___________________________ Arcs can be formed by figures other.
CIRCLES 1 Moody Mathematics. VOCABULARY: Identify the name of the object pictured in each frame. VOCABULARY: Identify the name of the object pictured.
Circles. Circle  Is the set of all points in a plane that are equal distance from the center. This circle is called Circle P. P.
Friday-Chapter 6 Quiz 2 on
Objective: Measures of Inscribed Angles & Inscribed Polygons. (3.12.3) Section 10.4.
Topic 12-3 Definition Secant – a line that intersects a circle in two points.
Chapter 7 Circles. Circle – the set of all points in a plane at a given distance from a given point in the plane. Named by the center. Radius – a segment.
Day 1.
Geometry 11-4 Inscribed Angles
Inscribed Angles Geometry 11-3.
Geometry Chapter 10 Section 6
Lesson 10.6 – Secants, Tangents, and Angle Measure
JRLeon Geometry Chapter 6..3 HGHS
Area of Circles with Exercises
Angles in Circles.
8-5 Angles in Circles Welcome everyone!.
Lesson 8-5: Angle Formulas
Arcs and Angles Objective: Students will be able to apply past knowledge to solve problems involving arcs and angles with relationships to circles.
Parallelograms Geometry Regular Program SY Source:
Inscribed Angle Definition: An inscribed angle has its vertex on the circle and its sides are chords. Picture:
Geometry 9.5 Inscribed Angles.
Exercises on Circles Geometry Regular Program SY Source:
Lesson 8-5: Angle Formulas
Module 19: Lesson 1 Central Angles & Inscribed Angles
4.1 Equations of circles Arcs, Inscribed Angles, Central Angles
Arcs and Angles Geometry Regular Program SY Source:
Lesson 8-5: Angle Formulas
MATH THS – Standard Geometry
Lesson 8-5: Angle Formulas
Lesson 8-5: Angle Formulas
Exercises for Area of Polygons
Exercises for Triangles and Quadrilaterals
Lesson 8-5 Angle Formulas.
Angles in Circles.
12.3 Inscribed Angles.
Lesson: 10 – 4 Inscribed Angles
Arcs and Angles Relationships between Arcs and Angles
Lesson 8-5: Angle Formulas
Lesson 8-5: Angle Formulas
Inscribed Angles.
More Angle-Arc Theorems
Lesson 8-5: Angle Formulas
Proving that a quadrilateral is a Parallelogram
Presentation transcript:

Arcs and Angles Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

Arcs and Angles Conjectures:

Arcs and Angles Given a circle with inscribed angle CAB The inscribed angle and the central angle are intercepting the same arc.

Arcs and Angles Given a circle with inscribed angles P and Q The inscribed angles P and Q are intercepting the same arc.

Arcs and Angles Given a circle with angles inscribed in a semi-circle The inscribed angles intercept a semi-circle.

Arcs and Angles a and c are opposite angles. b and d are opposite angles.

Arcs and Angles Given a circle with two parallel secants Minor Arc AD and Minor Arc BC are in the interior of the two lines

Arcs and Angles Conjectures: