Geometry Concepts and Angle Relationships

This video tutorial covers unit eight lesson two practice problems, focusing on central and inscribed angles, arc measurements, and solving for angle measures in circles. It explains the differences between central and inscribed angles, demonstrates how to calculate arc measures, and provides methods for finding the intersection of medians in triangles. Additionally, it discusses rules for creating perpendicular lines through rotations.

What is the measure of an inscribed angle if the central angle is 56 degrees?

• 112 degrees

• 14 degrees

• 56 degrees

• 28 degrees

Which of the following is true about a central angle?

• It is unrelated to the intercepted arc.

• It is half the intercepted arc.

• It is equal to the intercepted arc.

• It is twice the intercepted arc.

How is an inscribed angle formed?

• By a diameter

• By two radii

• By two chords with a common endpoint

• By a tangent and a chord

What is the measure of the arc from A to B that does not pass through C if the inscribed angle is 40 degrees?

• 40 degrees

• 180 degrees

• 100 degrees

• 80 degrees

If a diameter cuts the circle in half, what is the measure of the arc it creates?

• 90 degrees

• 360 degrees

• 45 degrees

• 180 degrees

What is the measure of angle X if the intercepted arc is 50 degrees?

• 25 degrees

• 50 degrees

• 100 degrees

• 75 degrees

Which term describes a line segment that goes from edge to edge through the center of a circle?

• Tangent

• Diameter

• Chord

• Radius

What is the point of intersection of the medians in a triangle called?

• Incenter

• Orthocenter

• Circumcenter

• Centroid

How do you find the midpoint of a segment with endpoints (-4, 0) and (12, 0)?

• (4, 0)

• (6, 0)

• (8, 0)

• (0, 0)

Which transformation rule takes a line to a perpendicular line?

• x, y maps to y, -x

• x, y maps to -x, -y

• x, y maps to -y, x

• x, y maps to x, y