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honors geometry > Circle Unit > Flashcards

Circle Unit Flashcards

1
Q

Defien Circle

A

The set of all points a fixed distance from a given center point.

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2
Q

Define radius

A

The distance from the center to any point on the circle

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3
Q

How do you name a circle?

A

Using the symbol for circle followed by the center

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4
Q

Define chord

A

A line segment with both endpoints on the circle.

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5
Q

What do you call the longest possible chord?

A

The diameter

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6
Q

What is the relationship between the length of the radius and the diameter?

A

The length of the radius is half the length of the diameter. The length of the diameter is twice the length of the radius.

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7
Q

Define secant

A

A line, ray, or segment that contains a chord

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8
Q

What are two concentric circles?

A

Two circles with the same center

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9
Q

What are 2 congruent circles?

A

2 circles with congruent radii

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10
Q

Define tangent.

A

A line, ray, or segment that intersects a circle at only 1 point.

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11
Q

What is the relationship between a tangent and the radius at the point of tangency?

A

They are perpendicular.

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12
Q

What is true about two tangent segments from the same external point?

A

They are congruent.

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13
Q

What is true about the segment from the center to that same external point from which 2 tangent segments are made?

A

It bisects the angle made by the tangents and the radii

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14
Q

How can you tell if a tangent segment between 2 circles is internal or external?

A

It is internal if it intersects the segment that connects the centers of the 2 circles. Otherwise it is external

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15
Q

Two tangent circles have what in common?

A

The point of tangency

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16
Q

What is the difference between two circles that are internally tangent and two that are externally tangent?

A

If 2 circles are internally tangent, one circle is contained within the other except for the point of tangency. If they are externally tangent, the 2 circles are outside each other except for the point of tangency.

17
Q

What is the definition of an inscribed circle?

A

A circle inside a circumscribed polygon

18
Q

What is significant about the sides of a polygon that is circumscribed?

A

They are all tangents

19
Q

What is the definition of a circumscribed circle?

A

A circle with an inscribed polygon

20
Q

What is significant about the sides of a polygon that is inscribed?

A

They are all chords

21
Q

How are arcs measured?

A

In degrees

22
Q

What are 2 congruent arcs?

A

Two arcs with the same measure

23
Q

What are the 3 types of arcs?

A

Minor arc, semicircle, major arc

24
Q

How do we name arcs?

A

Minor arc - The 2 endpoints with the arc symbol above it

25
Q

Semicircle & major arc

A

The 2 endpoints with one other point that the arc goes through in the middle, with the arc symbol above it.

26
Q

The endpoints of a semicircle are also the endpoints of what?

A

A diameter

27
Q

What is a central angle?

A

An angle with vertex at the center and with sides that are radii

28
Q

What is the rule about the measure of a central angle and its intercepted arc?

A

They have the same measure

29
Q

Congruent chords will also make what?

A

Congruent arcs

30
Q

What is an inscribed angle?

A

An angle with vertex on the circle and sides made by chords

31
Q

What is the rule between an inscribed angle and its intercepted arc?

A

The measure of the angle is half the measure of its intercepted arc.

32
Q

If a quadrilateral is inscribed in a circle, then what is true about its angles?

A

The opposite angles are supplementary.

33
Q

If an inscribed angle intercepts a semicircle, what is true?

A

It is a right angle.

34
Q

What is true about the arcs between two parallel segments?

A

They are congruent.

35
Q

What is the rule for the angle formed by two chords that intersect inside a circle, in relation to its intercepted arcs?

A

The measure of the angle equals the measure of the big arc plus the measure of the little arc, divided by 2

36
Q

What is the rule about the angles formed by a tangent and chord that intersect on a circle, in relation to its intercepted arcs?

A

The measure of the angle is half the measure of its intercepted arc.

37
Q

What is the rule for the angle formed by two secants/tangents that intersect outside a circle, in relation to its intercepted arcs?

A

The measure of the angle equals the measure of the big arc minus the measure of the little arc, divided by 2

honors geometry (12 decks)

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