Transformations and Angle Relationships

Lesson 9 covers transformations in geometry, focusing on translation, reflection, and 180-degree rotation. It explains how line segments move during these transformations and introduces the concept of vertical angles formed by intersecting lines.

What are the three main types of transformations discussed in Lesson 9?

• Translation, Shearing, Rotation

• Reflection, Scaling, Rotation

• Scaling, Shearing, Translation

• Translation, Reflection, Rotation

When a line segment is translated along a line, where does it end up?

• At a rotated position

• At the same position

• At a different angle

• At a new position along the line

In a 180-degree rotation, where do points A and B end up relative to the center of rotation?

• At a random position

• At the center of rotation

• On the opposite side at an equal distance

• On the same side of the center

What is the direction of movement for a point during reflection?

• In a circular path around the line of reflection

• At a 45-degree angle to the line of reflection

• Perpendicular to the line of reflection

• Parallel to the line of reflection

How does a point move during a reflection over a line?

• It stays in the same place

• It moves perpendicular to the line

• It moves in a circular path

• It moves parallel to the line

What happens to angles when two lines intersect?

• They remain unchanged

• They form vertical angles

• They disappear

• They become equal

What is the characteristic of vertical angles?

• They are always right angles

• They are always obtuse

• They are always equal

• They are always unequal

During a 180-degree rotation, what happens to the angle of rotation?

• It becomes zero

• It remains the same

• It halves

• It doubles

What is the result of a 180-degree rotation on a line segment?

• The segment remains unchanged

• The segment disappears

• The segment becomes longer

• The segment rotates to the opposite side

What is the relationship between angles on opposite sides of an intersection?

• They are vertical angles

• They are adjacent angles

• They are supplementary

• They are complementary