Podcast
Questions and Answers
Which circle C shows a chord that is not a diameter?
Which circle C shows a chord that is not a diameter?
What is FG?
What is FG?
secant
What is DB?
What is DB?
tangent
What is DH?
What is DH?
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What is AC?
What is AC?
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Circle A has a radius of 6. Which circles are congruent to circle A? (Select all that apply)
Circle A has a radius of 6. Which circles are congruent to circle A? (Select all that apply)
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A central angle, such as angle _____ of circle Z, is an angle whose vertex is _____ and whose sides are radii of the circle.
A central angle, such as angle _____ of circle Z, is an angle whose vertex is _____ and whose sides are radii of the circle.
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Angle _____ is not a central angle of circle Z.
Angle _____ is not a central angle of circle Z.
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The degree measure of an arc is _____ the degree measure of the central angle that intercepts it.
The degree measure of an arc is _____ the degree measure of the central angle that intercepts it.
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The measure of is _____ degrees.
The measure of is _____ degrees.
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Which statements are correct? (Select all that apply)
Which statements are correct? (Select all that apply)
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MP is a _____ and measures _____ degrees.
MP is a _____ and measures _____ degrees.
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MLN is a _____ and measures _____ degrees.
MLN is a _____ and measures _____ degrees.
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What is m if GD is a diameter of circle C?
What is m if GD is a diameter of circle C?
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How is a tangent different from a chord?
How is a tangent different from a chord?
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The value of x is _____.
The value of x is _____.
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The measure of EF is _____ degrees.
The measure of EF is _____ degrees.
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The measure of GH is _____ degrees.
The measure of GH is _____ degrees.
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Dilate the smaller circle by a factor of ____. If the circles were not concentric, what additional step would be needed to prove they are similar? ____
Dilate the smaller circle by a factor of ____. If the circles were not concentric, what additional step would be needed to prove they are similar? ____
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Study Notes
Circle Parts and Definitions
- Chord vs. Diameter: A chord in a circle that isn't also a diameter is exemplified by the last circle in a set.
- Parts of Circle A: FG is a secant, DB is a tangent, DH is a secant, and AC is a radius.
Congruency in Circles
- Circle A with a radius of 6 is congruent to Circle E and Circle F.
Central Angles
- A central angle (angle UZV) has its vertex at the center of the circle, while angle WSX is not a central angle.
- The degree measure of an arc is equal to the degree measure of the central angle that intercepts it. For Circle Z, the measure is 79º.
Correct Circle Statements
- A diameter is always a chord.
- A tangent is never a secant.
- A chord can be shorter than a radius, which is always congruent to any other radius in the same circle.
Arcs in Circle J
- In Circle J, MP is a minor arc measuring 152 degrees, and MLN is a major arc measuring 298 degrees.
Measure of Angles
- GD is a diameter in Circle C, with the measure m equaling 231º.
Tangent vs. Chord
- A tangent touches the circle at only one point, while a chord intersects at two points; the chord exists entirely within the circle, whereas the tangent is external, except at the tangent point.
Diameter Measurements in Circle D
- For diameter EH in Circle D, solving the equations (10x + 8)° and (11x)° gives x = 5, with EF measuring 58 degrees and GH measuring 55 degrees.
Concentric Circles
- Concentric circles with center G and radii 5 and 11 prove similarity by dilating the smaller circle by a factor of 11/5. If not concentric, translating one circle to the same center is necessary to demonstrate similarity.
Studying That Suits You
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Description
Test your understanding of circles with these flashcards. This quiz covers chords, secants, tangents, and congruent circles, providing key definitions and identification of parts. Perfect for reinforcing your knowledge in geometry.
