Circles, Angles and Segments

An angle is a(n) ______ if the vertex is on a circle and the sides of the angle are chords of the circle.

• right angle

• central angle

• inscribed angle

• intercepted angle

A(n) _____ to a circle is a line, ray or segment in the plane of the circle that intersects the circle in exactly one point.

• tangent
• secant
• radius
• arc

A ____ is a line, ray, or segment that intersects a circle at two points.

• Tangent
• Secant
• Radius
• Arc

Tell whether AB is tangent to ΘC . Explain your reasoning.

• Yes, $\Delta ABC$ is a right triangle, so the radius is perpendicular to AB

• Yes, AB is perpendicular to the circle

• No, $\Delta ABC$ is a right triangle, so the radius is perpendicular to AB

• No, $\Delta ABC$ is not a right triangle, so the radius is not perpendicular to AB

Tags

CCSS.HSG.C.B.5

What is the measure of angle 1?

Tags

CCSS.HSG.C.A.2

What is the measure of angle 2?

Tags

CCSS.HSG.C.A.2

What is the value of y?

Tags

CCSS.HSG.C.A.2

Find the $m\angle B$ if the measure of arc $AB=120\degree$ and the  $m\angle A=42\degree.$    

•  $18\degree$  

•  $60\degree$  

•  $78\degree$  

•  $156\degree$  

Tags

CCSS.HSG.C.A.2

Verify that a circle can be circumscribed about the quadrilateral.

• Yes, a quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary and the missing angle is 88

• Yes, a quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary and the missing angle is 68

• No, a quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary and the missing angle is 68

• No, a quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary and the missing angle is 88

Tags

CCSS.2.G.A.1