Geometry: Exploring Transformations

Objectives

• Students will identify the coordinates of a shape that has been translated.
• Students will identify the coordinates of a shape that has been reflected.
• Students will determine the original coordinates of a translated figure given its current coordinates and the directed distance of translation.

Vocabulary

• pre-image
• image
• transformation
• translation
• reflection

About the Lesson

This lesson involves translating and reflecting shapes in the coordinate plane. As a result, students will:

• Translate a shape horizontally and vertically by grabbing and moving points along a line.
• Determine the coordinates of the image given the amount of translation.
• Reflect a shape over the x-axis and the y-axis by moving points along a line.
• Determine the coordinates of the image given the direction of reflection.
• Determine the difference between a reflection and a translation.