Understanding Transformations in Geometry

The lesson introduces transformations in geometry, focusing on altering images using mathematical rules. It covers four main types: translation, rotation, reflection, and dilation. Through exercises, students explore these transformations, understanding them as functions that map points in the plane. The concept of rigid motion is introduced, emphasizing transformations that preserve shape and size. The lesson concludes with a summary of key points and a preview of future topics.

What is the primary focus of the lesson on transformations?

• Learning about calculus

• Understanding algebraic equations

• Exploring transformations in geometry

• Studying historical mathematicians

Which of the following is NOT a type of transformation discussed in the lesson?

• Dilation

• Reflection

• Integration

• Translation

In Exercise 1, what transformation is described when the image of the dog is made smaller?

• Translation

• Dilation

• Rotation

• Reflection

What is the technical term for flipping an image across a line?

• Reflection

• Rotation

• Dilation

• Translation

How is a transformation defined in terms of functions?

• A transformation is a graph

• A transformation is a line

• A transformation is a function that assigns a point to another point

• A transformation is a number

What is the result of applying a transformation rule to a point in the coordinate plane?

• A new line

• A new point

• A new number

• A new graph

What does the term 'rigid motion' refer to in transformations?

• A transformation that preserves the shape and size of an object

• A transformation that changes the shape of an object

• A transformation that changes the size of an object

• A transformation that only changes the color of an object

In Exercise 4, what type of transformation is applied to triangle ABC?

• Translation

• Rotation

• Reflection

• Dilation