Exploring Adjacent and Vertical Angles

This video tutorial covers lesson 7.1 on adjacent and vertical angles. It begins with an introduction to the key vocabulary terms, followed by detailed explanations and examples of adjacent and vertical angles. The lesson includes practice problems to help students identify and differentiate between these types of angles. The video concludes with a summary and final notes, ensuring students have a comprehensive understanding of the concepts discussed.

What is the main characteristic of adjacent angles?

• They are formed by parallel lines.

• They are always equal.

• They share a common side and vertex.

• They are always right angles.

Which of the following pairs of angles are adjacent?

• Angles 3 and 1

• Angles 2 and 4

• Angles 1 and 3

• Angles 1 and 2

What are vertical angles?

• Angles that are adjacent to each other.

• Angles that are always 90 degrees.

• Angles that are opposite each other and congruent.

• Angles that share a common side.

If angle 1 is 130 degrees, what is the measure of its vertical angle?

• 130 degrees

• 180 degrees

• 50 degrees

• 90 degrees

How should you name adjacent angles?

• Start with the inner point, go to the outer point, and back in.

• Start with the outer point, go to the inner point, and back out.

• Name them in any order.

• Start with the vertex and name the sides.

Which of the following pairs are vertical angles?

• Angle ABF and Angle DBC

• Angle ABF and Angle ABC

• Angle ABF and Angle FBC

• Angle DBC and Angle FBC

Identify a pair of adjacent angles from the following:

• Angle VWX and Angle YWZ

• Angle VWX and Angle XWY

• Angle VWX and Angle VWY

• Angle VWX and Angle ZWV

Which of the following pairs are vertical angles?

• Angle VWX and Angle XWY

• Angle ZWY and Angle VWX

• Angle VWX and Angle VWY

• Angle VWX and Angle ZWV

If two angles are adjacent and one is 31 degrees, what is the measure of the other angle if they form a right angle?

• 90 degrees

• 59 degrees

• 45 degrees

• 31 degrees

If two angles are vertical and one is 90 degrees, what is the measure of the other angle?

• 90 degrees

• 45 degrees

• 180 degrees

• 60 degrees