Inscribed angle

Inscribed angles

Day 1

Vocab:

• Inscribed angle: When two lines connect one point on the surface of a circle with two other points on that circle

• Intercepted arc: an arc formed when one or two different chords or line segments cut across a circle

The Inscribed angle Theorem:

The measure of the inscribed angle is HALF the measure of the intercepted arc

Exploration:

What pattern/relationship do you notice between the two angles and the intercepted arc and when comparing the measure of the two angles in each circle????

Inscribed angles:

The measure of the inscribed angle is half the angle of the central angle (remember that central angles and intercepted arcs have the same measure).

Multiple Choice

What is the measure of the INTERCEPTED ARC?

• 72°

• 36°

• 30°

• 180°

Multiple Choice

What is the measure of the INSCRIBED ANGLE?

• 62°

• 124°

• 31°

• 180°

Multiple Choice

What is the measure of the INSCRIBED ANGLE?

• 324°

• 162°

• 81°

• 51°

Multiple Choice

What is the measure of the INSCRIBED ANGLE?

• 30°

• 50°

• 100°

• 60°

Multiple Choice

What is the value of x?

• 5

• -5

• -15

• -20

Multiple Choice

What is the value of x?

• 23

• 95

• 190

• 120