Shared Flashcard Set

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Geom circles
words
14
Mathematics
10th Grade
04/25/2013

Additional Mathematics Flashcards

 


 

Cards

Term
Central Angle 1. How does it look? 2. What is the degree of the arc? 3. What is it?
Definition

1.

 [image]

2. The arc degree is the same as the central angle.

3. An angle w/ vertex on center and sides that are radii

Term
Inscribed angle 1. What is it? 2. How does it look? 3. What is the degree of the arc?
Definition

1. An angle whose vertex lies on the circle

2.

 [image]

3. The arc is twice the size of the inscribed angle

Term
Tangent 1. what is it? 2. What is the point of tangency? 3. What degree is it?
Definition

1. A line that intersects a circle once and lies on the plane of a circle

2. It is the one point that the tangent touches the circle

3. 90 degrees

 

[image]

 

Term

Secant 1. What is it?

Chord 1. What is it?

diameter 1. What is it?

Radius 1. What is it?

Definition

1. A line that contains a chord and intersects a circle at two points

 

 

1. A segments with endpoints on a circle

 

 

1. A chord that contains the center of a circle and also the longest chord

 

1. A segment from a point on the circle to its center

 

 

[image]

Term
Semicircle 1. What is it? 2. How do you name it? Minor arc 1. What is it? 2. How do you name it? Major arc 1.what is it? 2. How do you name it?
Definition
1. Half of a circle 2. with 3 points on the circle 1. An arc less than 180 degrees 2. with 2 points on the circle 1. An arc that is more than 180. 2. With 3 points on a circle
Term

Arc Length Formula

Area of a sector Formula

Definition

m/360*2pi(r) length

m/360*pi(r)^2 area

Term
What is the standard equation of a circle?
Definition
(x-h)^2+(y-k)^2=r^2 where the center of the circle is (h,k)
Term
A quadrilateral that is inscribed inside of a circle will have (complementary/supplementary) opposite angles?
Definition

supplementary

 

[image]

Term
How do you find and inside angle?
Definition

x+y/2

 

[image]

Term
How do you find and outside angle?
Definition

x-y/2

 

[image]

Term
How do you find the length of segments of in an inside angle?
Definition

a*b=c*d

 

[image]

Term
How do you find the segments of an outside angle?
Definition

(w+x)w=(y+z)y

 

[image]

Term
To find the y intercept, you make x=0 and to find the x intercept you make y=0
Definition
Term

1. If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.

 

2. Two segments tangent to a circle from a point outside the circle are congruent.

 

3. The line through an external point and the center of a circle bisects the angle formed by two tangent segments.

 

4. Congruent central angles have congruent arcs and congruent chords.

 

5. Congruent chords are equidistant from the center of a circle.

 

6. in a circle, a radius that is perpendicular to a chord bisects the chord and its arcs

Definition

1.

 [image]

2.

[image]

3.

[image]

4. no need for picture

5. no need for picture

6. no need for picture

 

 

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