Transformations and Properties of Shapes

This lesson covers the three main types of geometric transformations: translations, rotations, and reflections. It explains how each transformation works, using examples and visual aids. Translations involve moving an image in a consistent direction and distance, rotations involve turning an image around a center point, and reflections involve flipping an image over a line. The lesson also touches on related concepts like prisms and measuring angles with a compass or grid paper.

What are the three types of moves discussed in this lesson?

• Translations, Rotations, Dilations

• Rotations, Reflections, Dilations

• Reflections, Dilations, Translations

• Translations, Rotations, Reflections

In a translation, how do the points of an image move?

• In a circular path

• In opposite directions

• In the same direction and distance

• In different directions and distances

Which transformation involves moving every point of an image the same distance and direction?

• Dilation

• Translation

• Reflection

• Rotation

What geometric shape is formed by the connection of corresponding sides in a right prism?

• Rectangle

• Triangle

• Hexagon

• Circle

What is the center of rotation in a rotation?

• A point around which the image rotates

• A line over which the image reflects

• A point where the image starts

• A line along which the image translates

How can you measure the angle of rotation?

• Using a calculator

• Using a protractor

• Using a compass or grid paper

• Using a ruler

What is the angle of rotation when a side of a square rotates to its diagonal?

• 60 degrees

• 90 degrees

• 30 degrees

• 45 degrees

What is a line of reflection?

• A line where the image starts

• A line along which the image rotates

• A line over which the image passes to the other side

• A line that divides the image into two

In a reflection, how do points move in relation to the line of reflection?

• To the opposite side

• In a circular path

• In a straight line

• To the same side

What happens to an image after it reflects over a line?

• It rotates around the line

• It ends up in the same position on the opposite side

• It moves to a different position on the same side

• It stays in the same position