Circle Geometry: Angles and Chords

This video tutorial explores the interactions between circles and lines, focusing on secants, chords, inscribed angles, intercepted arcs, and tangent lines. It explains how to calculate angles using intercepted arcs and discusses the properties of tangent lines. The video provides formulas for finding angles when secant lines meet inside or outside a circle and highlights the importance of understanding these geometric concepts.

What is the term for a line that intersects a circle at two points?

• Chord

• Radius

• Tangent

• Secant

What do we call the line segment formed between two points on a circle?

• Diameter

• Chord

• Tangent

• Radius

What is created when two chords intersect inside a circle?

• Central angle

• Inscribed angle

• Secant

• Tangent

How do you find the measure of an inscribed angle if you know the intercepted arc?

• Subtract 90 degrees

• Divide by 2

• Add 90 degrees

• Multiply by 2

What is the measure of an inscribed angle if the intercepted arc measures 180 degrees?

• 60 degrees

• 90 degrees

• 45 degrees

• 180 degrees

What is the term for the arc between two points where chords intersect the circle?

• Tangent arc

• Intercepted arc

• Central arc

• Chord arc

If a central angle measures 120 degrees, what is the measure of the inscribed angle?

• 120 degrees

• 60 degrees

• 90 degrees

• 30 degrees

What is the relationship between a central angle and an inscribed angle?

• Central angle is half the inscribed angle

• Central angle is twice the inscribed angle

• They are equal

• Inscribed angle is twice the central angle

What is the measure of an inscribed angle if the central angle is 100 degrees?

• 25 degrees

• 75 degrees

• 100 degrees

• 50 degrees

How do you calculate the inscribed angle when secant lines meet inside the circle?

• Subtract the intercepted arc

• Double the intercepted arc

• Half the sum of intercepted arcs

• Half the difference of intercepted arcs