Circle Unit

Question 1

Defien Circle

Answer 1

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

Question 2

Define radius

Answer 2

The distance from the center to any point on the circle

Question 3

How do you name a circle?

Answer 3

Using the symbol for circle followed by the center

Question 4

Define chord

Answer 4

A line segment with both endpoints on the circle.

Question 5

What do you call the longest possible chord?

Answer 5

The diameter

Question 6

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

Answer 6

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

Question 7

Define secant

Answer 7

A line, ray, or segment that contains a chord

Question 8

What are two concentric circles?

Answer 8

Two circles with the same center

Question 9

What are 2 congruent circles?

Answer 9

2 circles with congruent radii

Question 10

Define tangent.

Answer 10

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

Question 11

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

Answer 11

They are perpendicular.

Question 12

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

Answer 12

They are congruent.

Question 13

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

Answer 13

It bisects the angle made by the tangents and the radii

Question 14

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

Answer 14

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

Question 15

Two tangent circles have what in common?

Answer 15

The point of tangency

Question 16

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

Answer 16

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.

Question 17

What is the definition of an inscribed circle?

Answer 17

A circle inside a circumscribed polygon

Question 18

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

Answer 18

They are all tangents

Question 19

What is the definition of a circumscribed circle?

Answer 19

A circle with an inscribed polygon

Question 20

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

Answer 20

They are all chords

Question 21

How are arcs measured?

Answer 21

In degrees

Question 22

What are 2 congruent arcs?

Answer 22

Two arcs with the same measure

Question 23

What are the 3 types of arcs?

Answer 23

Minor arc, semicircle, major arc

Question 24

How do we name arcs?

Answer 24

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

Question 25

Semicircle & major arc

Answer 25

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

Question 26

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

Answer 26

A diameter

Question 27

What is a central angle?

Answer 27

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

Question 28

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

Answer 28

They have the same measure

Question 29

Congruent chords will also make what?

Answer 29

Congruent arcs

Question 30

What is an inscribed angle?

Answer 30

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

Question 31

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

Answer 31

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

Question 32

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

Answer 32

The opposite angles are supplementary.

Question 33

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

Answer 33

It is a right angle.

Question 34

What is true about the arcs between two parallel segments?

Answer 34

They are congruent.

Question 35

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

Answer 35

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

Question 36

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

Answer 36

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

Question 37

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

Answer 37

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