Chord and Segment Theorems Circles

Solve for the value of "x" and "y".

• x=91, y=82
• x=81, y=106
• x=106, y=81
• x=86, y=108

Tags

CCSS.HSG.C.A.3

In the diagram, two chords intersect each other inside the circle. Solve for the value of "x"

• 8
• 14
• 10
• 12

Tags

CCSS.HSG.C.A.2

In the diagram, two chords intersect in the interior of the circle, forming a vertex. Solve for the value of "x"

• 95°
• 110°
• 120°
• 115°

Tags

CCSS.HSG.C.A.2

In the diagram, two secants form a vertex outside of a circle. Solve for the measure of ∠2

• 30°
• 35°
• 25°
• 45°

Tags

CCSS.HSG.C.A.2

In the diagram, two chords interest in the interior of the circle. Solve for the value of "x"

• 6
• 8
• 12
• 9

Tags

CCSS.HSG.C.A.2

In the diagram, two tangents to the circle share a common external point. Solve for the value of "x"

• 8
• 9
• 6
• 5

Tags

CCSS.HSG.C.A.2

In the diagram, a tangent and a secant intersect the circle. Solve for the value of "y"

• 20
• 12
• 10
• -40

Tags

CCSS.HSG.C.A.2

In the diagram, a tangent and a secant form a vertex outside of the circle. Solve for the value of "x" 

• 35°
• 45°
• 55°
• 30°

Tags

CCSS.HSG.C.A.2

In the diagram, two tangents intersect the circle, sharing an external point. Solve for the value of "x"

• 6
• 5
• 8
• 10

Tags

CCSS.HSG.C.A.2

In the diagram, a quadrilateral is inscribed in the circle. Solve for the value of "x" and "y"

• x=84, y=98
• x=72, y=104
• x=102, y=68
• x=68, y=102

Tags

CCSS.HSG.C.A.2