The Four Transformations in Math

This video tutorial covers the four main transformations in mathematics: translation, rotation, reflection, and enlargement. Each transformation is explained in detail, including how to describe them using specific parameters. Translation involves moving a shape without rotating or resizing it, described by horizontal and vertical shifts. Rotation requires an angle, direction, and center point. Reflection is defined by a mirror line, and enlargement involves a scale factor and center of enlargement. The video concludes with practice questions to reinforce learning.

What are the two details needed to describe a translation of a shape?

• The angle and direction of movement

• The change in position horizontally and vertically

• The equation of the line of reflection

• The scale factor and center of enlargement

When describing a rotation, which of the following is NOT required?

• The angle of rotation

• The direction of rotation

• The scale factor

• The center of rotation

What is the key detail needed to describe a reflection?

• The scale factor

• The center of rotation

• The angle of rotation

• The equation of the line of reflection

How do you determine the scale factor in an enlargement?

• By using the equation of the line of reflection

• By measuring the angle of rotation

• By comparing the lengths of corresponding sides of the new and old shapes

• By finding the center of rotation

What is the method to find the center of enlargement?

• By calculating the change in position horizontally and vertically

• By measuring the angle of rotation

• By drawing lines from corresponding vertices of the new and old shapes until they intersect

• By using tracing paper to find the center of rotation