Angle Relationships

Question 1

Central angle AOB and inscribed angle ACB intercept the same arc. Concave polygon AOBC is formed.

Revolt · Accepted Answer

✔ always; The sides of central angles will be congruent.: always; The sides of inscribed angles will be congruent.: sometimes

Question 2

always✔ sometimesnever

Revolt · Accepted Answer

✔ sometimes

Question 3

25✔ 5098212

Revolt · Accepted Answer

✔ 50; The measure of arc AB is °.: 50; The measure of angle AOB is °.: 50; The measure of angle BDA is °.: 25

Question 4

25✔ 5057X 155

Revolt · Accepted Answer

✔ 50

Question 5

✔ 255057155

Revolt · Accepted Answer

✔ 25

Question 6

Question 117390

Revolt · Accepted Answer

The measure of arc LM is °.: 116; The measure of angle MBL is °.: 58; The measure of angle MNL is °.: 64

Question 7

What is the perimeter of kite ACBO?

Revolt · Accepted Answer

62 units

Question 8

Central angle AOB and inscribed angle ACB intercept the same arc. Concave polygon AOBC is formed.

Revolt · Accepted Answer

The sides of central angles will be congruent.: always; The sides of inscribed angles will be congruent.: sometimes

Question 9

Which statements are true regarding the relationships between central, inscribed, and circumscribed angles of a circle? Check all that apply.A circumscribed angle is created by two intersecting tangent segments.A central angle is created by two intersecting chords that are not a diameter.The measure of a central angle will be twice the measure of an inscribed angle that intercepts the same arc.The measure of a central angle will be half the measure of an inscribed angle that intercepts the same arc.The measures of a central angle and circumscribed angle that intercept the same arc will sum to 90°.The measure of a central angle will be equal to the measure of an inscribed angle when the arc intercepted by the inscribed angle is twice as large as the arc intercepted by the central angle.

Revolt · Accepted Answer

A circumscribed angle is created by two intersecting tangent segments.; The measure of a central angle will be twice the measure of an inscribed angle that intercepts the same arc.; The measure of a central angle will be equal to the measure of an inscribed angle when the arc intercepted by the inscribed angle is twice as large as the arc intercepted by the central angle.

Angle Relationships Answers

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