Discovering Geometry Chapter 3

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Lesson 6.1: Tangent Properties
Self-evaluation Score
Identify congruent circles, concentric circles, a radius, a chord, a
diameter, a tangent, a central angle, a minor arc, a major arc, and a
semicircle
State the Tangent Conjecture. (p. 311)
Apply the Tangent Conjecture to a problem.
Define a secant.
State the Tangent Segments Conjecture. (p. 312)
Apply the Tangent Segments Conjecture to a problem.
Identify an intercepted arc and internally or externally tangent circles. (p.
313)
Lesson 6.2: Chord Properties
Self-evaluation Score
Identify a central angle and an inscribed angle.
State the Chord Central Angles Conjecture. (p. 318)
Apply the Chord Central Angles Conjecture.
State the Chord Arcs Conjecture. (p. 318)
Apply the Chord Arcs Conjecture to a problem.
State the Perpendicular to a Chord Conjecture. (p. 319)
Apply the Perpendicular to a Chord Conjecture to a problem.
State the Chord Distance to a Center Conjecture. (p. 319)
Apply the Chord Distance to a Center Conjecture to a problem.
State the Perpendicular Bisector of a Chord Conjecture. (p. 320)
Apply the Perpendicular Bisector of a Chord Conjecture to a problem.
State the Intersecting Tangents Conjecture (p. 322, problem 23, miniinvestigation)
Apply the Intersecting Tangents Conjecture.
Lesson 6.3: Arcs and Angles
State the Inscribed Angle Conjecture. (p. 324)
Apply the Inscribed Angle Conjecture to a problem.
State the Inscribed Angles Intercepting the Same Arc Conjecture. (p.
325)
Apply the Inscribed Angles Intercepting the Same Arc Conjecture to a
problem.
State the Angles Inscribed in a Semicircle Conjecture. (p. 325).
Apply the Angles Inscribed in a Semicircle Conjecture to a problem.
Define a cyclic quadrilateral. (p. 326)
State the Cyclic Quadrilateral Conjecture. (p. 326)
Apply the Cyclic Quadrilateral Conjecture to a problem.
Define a secant.
State the Parallel Lines Intercepted Arcs Conjecture. (p. 326)
Apply the Parallel Lines Intercepted Arcs Conjecture to a problem.
Self-evaluation Score
Lesson 6.4: Proving Circle Conjectures
Self-evaluation Score
Understand the three cases for proving the Inscribed Angle Conjecture
where:
1. The circle’s center is on the inscribed angle
2. The circle’s center is outside the inscribed angle
3. The circle’s center is inside the inscribed angle.
State the Tangent-Chord Conjecture. (p. 333, problem 8, miniinvestigation)
Apply the Tangent-Chord Conjecture to a problem.
Lesson 6.5: The Circumference/Diameter Ratio
Self-evaluation Score
Define the circumference and diameter of a circle along with pi.
State the Circumference Conjecture. (p. 336)
Apply the Circumference Conjecture to a problem.
State the Intersecting Chords Conjecture. (p. 339, problem 16, miniinvestigation.)
Apply the Intersecting Chords Conjecture to a problem.
Lesson 6.6: Around the World
Self-evaluation Score
State the Intersecting Secants Conjecture. (p. 343, problem 9, miniinvestigation.)
Apply the Intersecting Secants Conjecture to a problem.
Lesson 6.7: Arc Length
Self-evaluation Score
State the Arc Length Conjecture. (p. 350)
Apply the Arc Length Conjecture to a problem.
Intersecting Lines Through a Circle (p. 355 – 356)
State the Intersecting Secants Conjecture. (p. 356)
Apply the Intersecting Secants Conjecture to a problem.
State the Intersecting Chords Conjecture. (p. 356)
Apply the Intersecting Chords Conjecture to a problem.
State the Tangent-Secant Conjecture. (p. 358)
Apply the Tangent-Secant Conjecture to a problem.
State the Intersecting Tangents Conjecture. (p. 358)
Apply the Intersecting Tangents Conjecture to a problem.
State the Tangent-Chord Conjecture. (p. 358)
Apply the Tangent-Chord Conjecture to a problem.
Using Algebra Skills 6: Solving Systems of Linear Equations (pp. 345 –
347)
Find the coordinates of the circumcenter of a triangle.
Find the equation for the perpendicular bisector of a line.
Find the coordinates of the circumcenter of a triangle.
TOTAL SCORE: What score do you think you need in order to pass the Chapter 6 Test?
Self-evaluation Score