Intersecting Secants and Tangents: Arc and Angle Measures

What do you call a line that intersects a circle in two points?

• tangent

• cosecant

• secant

• cotangent

WS and XR are?

• two intersecting secants             

• two tangents

• two lines

• two chords

If an inscribed angle of a circle intercepts a semicircle, then the angle is?

• acute

• obtuse

•  reflex  

• right

An angle whose vertex is on the circle and whose sides are chords of the circle.

• adjacent arcs

• diameter

• Inscribed angle

• arc

An arc that is larger than the semicircle.

• semicircle

• circle

• major arc

• adjacent arcs.

What is the value of x?

• x = 160

• x = 40

• x = 80

• x = 360

What is being represented in the image?

• Tangent

• Concentric Circles

• Exterior Angle

• Secant

Find the value of x.

• 45

• 10

• 20

• 90

Can you derive the relationship between the angles formed by two secants intersecting inside a circle?

• The angle formed by two secants intersecting inside a circle is equal to half the sum of the measures of the intercepted arcs.

• The angle formed by two secants is equal to the difference of the intercepted arcs.

• The angle formed by two secants is equal to the sum of the intercepted arcs.

• The angle formed by two secants is equal to the average of the measures of the intercepted arcs.

What is the measure of angle ABC?

• 90

• 180

• 45

• 80