Questions and Answers
Which circle C shows a chord that is not a diameter?
What is FG?
secant
What is DB?
tangent
What is DH?
Signup and view all the answers
What is AC?
Signup and view all the answers
Circle A has a radius of 6. Which circles are congruent to circle A? (Select all that apply)
Signup and view all the answers
A central angle, such as angle _____ of circle Z, is an angle whose vertex is _____ and whose sides are radii of the circle.
Signup and view all the answers
Angle _____ is not a central angle of circle Z.
Signup and view all the answers
The degree measure of an arc is _____ the degree measure of the central angle that intercepts it.
Signup and view all the answers
The measure of is _____ degrees.
Signup and view all the answers
Which statements are correct? (Select all that apply)
Signup and view all the answers
MP is a _____ and measures _____ degrees.
Signup and view all the answers
MLN is a _____ and measures _____ degrees.
Signup and view all the answers
What is m if GD is a diameter of circle C?
Signup and view all the answers
How is a tangent different from a chord?
Signup and view all the answers
The value of x is _____.
Signup and view all the answers
The measure of EF is _____ degrees.
Signup and view all the answers
The measure of GH is _____ degrees.
Signup and view all the answers
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? ____
Signup and view all the answers
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
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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.
