Geometry: Angles and Lengths

This video tutorial covers key concepts related to circles, focusing on inscribed angles and intersecting chords. It explains the properties of inscribed angles, such as being half the measure of the intercepted arc, and demonstrates how to solve problems involving these angles. The tutorial also explores the relationships between intersecting chords and how to calculate segment lengths using proportionality. Through a series of examples, viewers learn to apply these concepts to solve geometry problems effectively.

What is an inscribed angle in a circle?

• An angle formed by two tangents

• An angle formed by two chords meeting at a point on the circle

• An angle formed by two radii

• An angle formed by a tangent and a chord

What is the relationship between an inscribed angle and the arc it intercepts?

• The inscribed angle is unrelated to the arc

• The inscribed angle is half the arc

• The inscribed angle is twice the arc

• The inscribed angle is equal to the arc

What is the basic formula for intersecting chords in a circle?

• The difference of the segments is equal

• The ratio of the segments is equal

• The product of the segments is equal

• The sum of the segments is equal

If an inscribed angle intercepts an arc greater than 180 degrees, what type of angle is it?

• Obtuse

• Right

• Acute

• Straight

How do you calculate the measure of an inscribed angle if the arc is 200 degrees?

• 200 degrees

• 50 degrees

• 90 degrees

• 100 degrees

What is the measure of an angle if it opens up to an arc of 106 degrees?

• 106 degrees

• 26.5 degrees

• 53 degrees

• 212 degrees

How do you find the measure of angle WXY if the arc is 90 degrees?

• 60 degrees

• 90 degrees

• 180 degrees

• 45 degrees

What is the length of X if 3x equals 28.8?

• 9.6

• 8.6

• 10.6

• 7.6

If RS is 15 and ST is 8, what is the length of WH?

• 22

• 25

• 18

• 20

What is the length of X if 3x equals 60?

• 30

• 25

• 20

• 15