Exploring Angles and Their Relationships

Mr. Cassidy introduces a lesson on angles and parallel lines, emphasizing the importance of a growth mindset and learning from mistakes. The lesson covers key concepts such as supplementary and vertical angles, parallel lines, and transversals. Students learn to identify and measure different types of angles formed by parallel lines and transversals, including interior, exterior, and corresponding angles. The lesson concludes with a reflection on the learning objectives.

Which of the following is NOT one of the core beliefs mentioned by Mr. Cassidy?

• Growth mindset matters

• Mistakes make the brain grow

• Effort is most important

• Speed is more important than accuracy

What is the measurement of an angle formed by two intersecting lines called?

• Chord

• Arc

• Degree

• Radius

If one angle is 75 degrees, what is the measure of its supplementary angle?

• 85 degrees

• 105 degrees

• 115 degrees

• 95 degrees

What are vertical angles?

• Angles that are directly across from each other

• Angles that are next to each other

• Angles that add up to 90 degrees

• Angles that are on the same side of a transversal

If angle 1 is 75 degrees, what is the measure of angle 3, its vertical angle?

• 75 degrees

• 105 degrees

• 45 degrees

• 135 degrees

What is a transversal?

• A line that bisects an angle

• A line that intersects two parallel lines

• A line that is parallel to another line

• A line that forms a right angle

Which angles are formed on the outside of parallel lines?

• Interior angles

• Supplementary angles

• Exterior angles

• Vertical angles

What are alternate interior angles?

• Angles that are directly across from each other

• Angles that add up to 180 degrees

• Angles on opposite sides of the transversal but inside the parallel lines

• Angles on the same side of the transversal

If angle 3 is 115 degrees, what is the measure of angle 2, its vertical angle?

• 65 degrees

• 115 degrees

• 105 degrees

• 75 degrees

If angle 8 is 45 degrees, what is the measure of angle 6, its alternate interior angle?

• 135 degrees

• 75 degrees

• 45 degrees

• 105 degrees