question

arc of a circle

answer

a part of a circle between two given endpoints

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central angle

answer

an angle whose vertex is at the center of a circle and whose sides are radii of that circle

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chord

answer

a segment with both endpoints on a circle

question

circle

answer

the set of all points in a plane that are equidistant from a given point

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concentric circles

answer

circles that lie in the same plane and have the same center

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diameter

answer

a chord that passes through the center of the circle

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major arc

answer

an arc whose measure is greater than or equal to 180 degrees

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minor arc

answer

an arc whose measure is less than 180 degrees

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point of tangency

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the point of intersection between a circle and its tangent

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radius

answer

a segment that extends from the center of a circle to any point on the circle

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secant

answer

a line or ray that intersects a circle at exactly two points

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semicircle

answer

an arc whose central angle has sides that intercept the circle at opposite endpoints of a diameter

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similarity transformation

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a composition of rigid, or isometric, transformations with one or more dilations

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tangent to a circle

answer

a line, line segment, or ray that intersects a circle at exactly one point and contains no points inside the circle

question

Warm-up
Use the diagram to complete the statements.
This is circle BLANK (1)
If the distance from A to C is 6 units, then the distance from C to B is BLANK (2) units.
https://media.edgenuity.com/contentengine/frames/5f818e1a-c2be-11e4-9204-bc764e05bde9/8101-09-01-05-03-image1.png

answer

1. C
2. 6

question

Lesson (skipped slide 3 & 7)
Which statement is true?
https://media.edgenuity.com/contentengine/frames/83c0ab94-c2be-11e4-9204-bc764e05bde9/8101-09-01-10-05-image1.png

answer

SR is a secant of circle P.

question

Which circle with center U shows a central angle whose intercepted arc, ZV , measures 58Â°?

answer

B (Z V with 58Â°)
https://media.edgenuity.com/EVresources/8101/8101-09/8101-09-01/8101-09-01-10/8101-09-01-10-10/8101-09-01-10-10-image2.png

question

Which statements are correct? Check all that apply.
https://media.edgenuity.com/contentengine/frames/b76a464e-c2be-11e4-a0d6-bc764e05bde9/8101-09-01-10-12-image1.png

answer

- One major arc is GHE
- Arc FE is a minor arc.
- The measure of FE is 41Â°.

question

In circle P, the measure of âˆ QPS is 15Â° and RQ is a diameter.
Find the arc measures.
1. mQT=
2. mRT=
3. mQTR=
https://media.edgenuity.com/contentengine/frames/c6f5f018-c2be-11e4-b7e4-bc764e05bde9/8101-09-01-10-14-image1.png

answer

1. 120
2. 60
3. 180

question

Assignment
Which circle C shows a chord that is not a diameter?

answer

D
https://media.edgenuity.com/EVresources/8101/8101-09/8101-09-01/8101-09-01-20/8101-09-01-20-01/8101-09-01-20-01-image4.png

question

Identify the parts relating to A.
1. What is FG
2. What is DB
3. What is DH
4. What is AC
https://media.edgenuity.com/contentengine/frames/eb85c35e-c2be-11e4-b7e4-bc764e05bde9/8101-09-01-20-02-image1.png

answer

1. Secant
2. Tangent
3. Secant
4. Radius

question

Circle A has a radius of 6. Which circles are congruent to circle A? Check all that apply.
https://media.edgenuity.com/contentengine/frames/f303784c-c2be-11e4-8e27-bc764e05bde9/8101-09-01-20-03-image1.png

answer

- circle E
- circle F

question

Complete the statements about circle Z.
A central angle, such as angle BLANK (1) of circle Z, is an angle whose vertex is BLANK (2) and whose sides are radii of the circle.
Angle BLANK (3) is not a central angle of circle Z.
The degree measure of an arc is BLANK (4) he degree measure of the central angle that intercepts it.
The measure of TU is BLANK (5) degrees.
https://media.edgenuity.com/contentengine/frames/fa866732-c2be-11e4-b8b9-bc764e05bde9/8101-09-01-20-04-image1.png

answer

1. UZV
2. the center of the circle
3. WSX
4. equal to
5. 79

question

Which statements are correct? Check all that apply.

answer

- A diameter is always a chord.
- A tangent is never a secant.
- A chord can be shorter than a radius of the same circle.
- A radius is always congruent to another radius of the same circle.

question

NL and MK are diameters of circle J.
Complete the statements about circle J.
MP is a BLANK (1) and measures BLANK (2) degrees.
MLN is a BLANK (3) and measures BLANK (4) degrees.
https://media.edgenuity.com/contentengine/frames/0bde1e44-c2bf-11e4-a0d6-bc764e05bde9/8101-09-01-20-06-image1.png

answer

1. minor arc
2. 152
3. major arc
4. 298

question

GD is a diameter of circle C.
What is mGEB?
https://media.edgenuity.com/contentengine/frames/127f23ce-c2bf-11e4-879b-bc764e05bde9/8101-09-01-20-07-image1.png

answer

231Â°

question

How is a tangent different from a chord? Explain.

answer

Sample Response: A tangent intersects a circle at only one point, while a chord intersects the circle at two points. Also, a chord is contained within a circle, but a tangent is outside the circle, except for the point of tangency, which lies on the circle.

question

EH is a diameter of D. The measure of is (10x + 8)Â° and the measure of GH is (11x)Â°.
Determine the values.
1. The value of x is .
2. The measure of EF is degrees.
3. The measure of GH is degrees.
https://media.edgenuity.com/contentengine/frames/25977e7a-c2bf-11e4-8e27-bc764e05bde9/8101-09-01-20-09-image1.png

answer

1. 5
2. 58
3. 55

question

Concentric circles with center G have radii 5 and 11 as shown.
Which would prove that the circles are similar?
Dilate the smaller circle by a factor of BLANK (1)
If the circles were not concentric, what additional step would be needed to prove they are similar?
BLANK (2) one of the circles so that the circles have the same center.
https://media.edgenuity.com/contentengine/frames/2e6f6fe4-c2bf-11e4-b8b9-bc764e05bde9/8101-09-01-20-10-image1.png

answer

1. 11/5
2. translate

question

Quiz
Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown.
Which steps would prove the circles similar?
https://media.edgenuity.com/evresources/8101/8101-09/8101-09-01/8101-09-01-assessment/8101-09-01-27.PNG

answer

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

question

In circle O, AE and FC are diameters. Arc ED measures 17Â°.
What is the measure of EFC?
https://media.edgenuity.com/evresources/8101/8101-09/8101-09-01/8101-09-01-assessment/8101-09-01-17.png

answer

253Â°

question

What does CDE describe?
https://media.edgenuity.com/evresources/8101/8101-09/8101-09-01/8101-09-01-assessment/8101-09-01-03.png

answer

a major arc

question

Which is true regarding chords and diameters of circles?

answer

Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.

question

In circle D, which is a secant?
https://media.edgenuity.com/evresources/8101/8101-09/8101-09-01/8101-09-01-assessment/8101-09-01-01.png

answer

GH

question

In circle O, SU is a diameter.
What is mST?
https://media.edgenuity.com/evresources/8101/8101-09/8101-09-01/8101-09-01-assessment/8101-09-01-26.png

answer

130Â°

question

How are the semicircle and the diameter of a circle related?

answer

The degree measure of the diameter and the degree measure of the semicircle are the same.

question

Which equation can be used to find the measure of EHG?
https://media.edgenuity.com/evresources/8101/8101-09/8101-09-01/8101-09-01-assessment/8101-09-01-15.png

answer

mEHG + 80 + 35 = 360

question

In circle D, which is tangent to the circle?
https://media.edgenuity.com/evresources/8101/8101-09/8101-09-01/8101-09-01-assessment/8101-09-01-02.png

answer

AB

question

In circle O, AC and BE are diameters. The measure of arc DC is 50Â°.
What is the measure of EBC?
https://media.edgenuity.com/evresources/8101/8101-09/8101-09-01/8101-09-01-assessment/8101-09-01-19.png

answer

220Â°