Dilation and Rotation Concepts

Lesson 8 covers rotation patterns, focusing on 180-degree rotations around a center. It explains how line segments behave when the center of rotation is at the midpoint, not at the midpoint, or off the line segment. The lesson also explores rotating triangles to create patterns, emphasizing the importance of understanding the center of rotation, direction, and degree of rotation. Mistakes in rotation are addressed, leading to discussions on dilations and expanded shapes.

What happens to a line segment when it is rotated 180 degrees around its midpoint?

• It maps to the same line segment.

• It overlaps with another line segment.

• It becomes parallel to the original line segment.

• It maps to a different line segment.

If the center of rotation is not the midpoint of a line segment, what is the result of a 180-degree rotation?

• The line segment becomes shorter.

• The line segment disappears.

• The line segment overlaps with itself.

• The line segment maps to a different line.

When the center of rotation is not on the line segment, what is the result of a 180-degree rotation?

• The line segment maps to a different line.

• The line segment becomes shorter.

• The line segment overlaps with itself.

• The line segment becomes parallel to the original.

What is the degree of rotation used to create patterns with triangles in this lesson?

• 120 degrees

• 90 degrees

• 60 degrees

• 30 degrees

What is essential to know when rotating triangles to create patterns?

• The center of rotation and degree of rotation

• The material of the triangle

• The size of the triangle

• The color of the triangle

What is the result of rotating a triangle 60 degrees multiple times?

• A pattern of triangles

• A single rotated triangle

• A smaller triangle

• A larger triangle

What is the term used for creating an expanded copy of a shape?

• Rotation

• Translation

• Reflection

• Dilation

What concept will be discussed in the next unit following this lesson?

• Symmetry

• Dilation

• Reflection

• Translation

What happens to the image when a triangle is rotated and dilated?

• It disappears.

• It remains the same size.

• It becomes an expanded copy.

• It becomes smaller.

What shape is used as an example to explain dilation in the lesson?

• Triangle

• Hexagon

• Square

• Circle