Exploring Inscribed Angles in Geometry

The video tutorial covers inscribed angles, explaining their relationship with arcs and central angles. It discusses properties such as right angles formed by diameters and congruence of angles intercepting the same arc. The tutorial includes practice problems, solving for angles and arcs, and more complex problems involving inscribed angles. It concludes with solving equations for variables related to angles and arcs.

Where is the vertex of an inscribed angle located?

• Outside the circle

• Anywhere inside the circle

• In the center of the circle

• On the circle

What is the measure of an inscribed angle that intercepts a diameter?

• 180 degrees

• 90 degrees

• 45 degrees

• 360 degrees

If two inscribed angles intercept the same arc, they are:

• Adjacent

• Congruent

• Complementary

• Supplementary

To find the measure of an inscribed angle given the arc, you should:

• Multiply the arc by 2

• Subtract the arc from 180

• Divide the arc by 2

• Add 90 to the arc

What is the measure of an arc if the inscribed angle is 47 degrees?

• 188 degrees

• 23.5 degrees

• 47 degrees

• 94 degrees

How do you find the missing arc when given parts of a circle?

• Divide the given arcs by 2

• Add the given arcs and subtract from 180

• Add the given arcs and subtract from 360

• Multiply the given arcs by 2

If an angle measures 82 degrees, what is the measure of its intercepted arc?

• 41 degrees

• None of the above

• 82 degrees

• 164 degrees

Solve for x: 8x - 9 = 1/2(158)

• x = 10

• x = 13

• x = 11

• x = 12

If the angle is 67 and the arc is 2(67), what is the value of x when 2x + 58 = 134?

• x = 19

• x = 20

• x = 21

• x = 18

What should you do if you're confused about setting up equations for inscribed angles and arcs?

• Guess the answer

• Skip the question

• Ask the teacher for help

• Use a calculator for random calculations