Move a Point by a Translation Vector
A translation adds the same horizontal and vertical displacements to every point.
About 20 minutes, plus any extended practice
Open lesson 1Rigid Transformations and Their Order
Translations, reflections and rotations preserve distances and angle measures. Coordinate rules describe these moves exactly, and a sequence of moves must be applied in its stated order to determine the final image.
Before you begin
- Read signed coordinates; add signed numbers; recognize x-axis, y-axis and origin.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Reflect across the Vertical Axis
Reflection across the y-axis negates a point’s horizontal coordinate and leaves its vertical coordinate unchanged.
About 20 minutes, plus any extended practice
Open lesson 2Rotate a Quarter Turn Counterclockwise
A ninety-degree counterclockwise rotation around the origin sends (x,y) to (−y,x).
About 20 minutes, plus any extended practice
Open lesson 3Apply a Reflection before a Translation
Composing transformations means applying each move to the result of the previous one.
About 20 minutes, plus any extended practice
Open lesson 4Review and transfer
After the lessons, try 4 new review cases and a practical task. Each answer has an explanation and a link back to the related lesson.
Open the unit reviewGuest answers are temporary. Keep your own paper or document; this unit does not certify completion or record a school grade.
Topic references
- California CCSS mathematics topic reference: topic reference — Rigid Transformations and Their Order
These references informed the topic selection. They do not certify complete standards alignment.