Alternate Interior Angles and Transformations

This lesson focuses on alternate interior angles, explaining their congruency when formed by parallel lines and a transversal. It demonstrates this through a single transformation, specifically a 180-degree rotation around a midpoint. The lesson also explores what happens when lines are not parallel, showing that angles are not congruent in such cases. The key takeaway is that alternate interior angles are congruent only when the lines are parallel.

What is the term used for the line that crosses two parallel lines?

• Bisector

• Perpendicular

• Transversal

• Diagonal

Which transformation can demonstrate that two alternate interior angles are congruent?

• Dilation

• Rotation

• Reflection

• Translation

What is the result of a 180-degree rotation around the midpoint of a transversal?

• The angles become supplementary

• The angles become complementary

• The angles become equal to 90 degrees

• The angles remain congruent

What must be true for alternate interior angles to be congruent?

• The lines must be parallel

• The lines must be perpendicular

• The lines must be intersecting

• The lines must be skew

What happens to alternate interior angles when the lines are not parallel?

• They are not congruent

• They become supplementary

• They remain congruent

• They become complementary

How does rotating line K affect the angle size when it is moved closer to line T?

• The angle becomes larger

• The angle becomes smaller

• The angle remains the same

• The angle becomes a right angle

What is the effect of a 180-degree rotation on the sides of the angles?

• The sides become perpendicular

• The sides become intersecting

• The sides become skew

• The sides remain parallel

What is necessary for alternate interior angles to be equal?

• The lines must be intersecting

• The lines must be skew

• The lines must be perpendicular

• The lines must be parallel

What happens to the angle size when line K is rotated away from line T?

• The angle remains the same

• The angle becomes a right angle

• The angle becomes larger

• The angle becomes smaller

What is the essence of the lesson on alternate interior angles?

• They are always complementary

• They are equal when lines are parallel

• They are equal when lines are skew

• They are always supplementary