ConceptStep · learning platform for computer science

Geometric transformations

Mathematics — first biennium · Lesson

Biennium · Common core

Geometric transformations

Translations, reflections and rotations move figures while preserving distances and angles; coordinates change according to precise rules.

Key idea
Formula matematica
Similar example
Formula matematica

Prerequisites: Coordinates and quadrilaterals

Goal: Recognize translations, reflections and rotations and apply coordinate rules.

What you need to know before the exercises

In this lesson: Recognize translations, reflections and rotations and apply coordinate rules.

How to proceed: Compare the coordinate rule with the basic models: a translation adds one fixed vector; a reflection changes a sign; a rotation swaps coordinates with controlled signs.

You can already assume: Coordinates and quadrilaterals.

Try it now

Recognize the transformation from its coordinate rule.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

Compare the coordinate rule with the basic models: a translation adds one fixed vector; a reflection changes a sign; a rotation swaps coordinates with controlled signs.

Data / situation: P(0,-3) is transformed by (x,y)→(−y,x).

Your competency map

What you need to know for Geometric transformations

ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.

Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

GUIDED LEARNING PATHS

Want to choose the next skill to develop?