Exploring Parallel Lines and Transversals

Miss Curly teaches about parallel lines cut by a transversal, covering types of angles such as interior, exterior, alternate, corresponding, and vertical angles. She explains how these angles relate to each other and provides problem-solving examples to find missing angles and solve for variables. The lesson emphasizes understanding angle relationships and using them to solve geometry problems.

What are parallel lines?

• Lines that intersect at a right angle

• Lines that cross each other at any angle

• Lines that never intersect

• Lines that are perpendicular to each other

What is a transversal?

• A line that intersects two or more lines at different points

• A line that intersects another line at a right angle

• A line parallel to one of two lines it intersects

• A line that divides an angle into two equal parts

What are alternate interior angles?

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

• Angles on the same side of the transversal and outside the parallel lines

• Angles that add up to 180 degrees

• Angles that are adjacent to each other

What are corresponding angles?

• Angles that are supplementary

• Both A and B

• Angles that are equal in measure

• Angles in the same position on the parallel lines

What are vertical angles?

• Angles that are on the same side of the transversal

• Angles that add up to 180 degrees

• Angles that are adjacent and share a common side

• Angles that share a common vertex and are opposite each other

If angle 1 is 130 degrees, what is angle 2 if they are linear pairs?

• 100 degrees

• 50 degrees

• 130 degrees

• 180 degrees

If angle 4 is 115 degrees, what is angle 5, given they are alternate interior angles?

• 180 degrees

• 115 degrees

• 65 degrees

• None of the above

Given angle 1 is 5x and angle 7 is 2x + 5, find x if they are exterior angles.

• 25

• 20

• 30

• 15

If angle 3 is 3x and angle 5 is 4x + 75, find x given they are interior angles on the same side of the transversal.

• 15

• 25

• 10

• 20

What is the measure of angle 2 if angle 3 is 45 degrees and they are vertical angles?

• 135 degrees

• 45 degrees

• 90 degrees

• 180 degrees