Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
In plain words: Students use coordinates to describe what dilations, translations, rotations, and reflections do to a figure, like (x, y) → (x + 3, y − 2) for a translation.
Quick picks
- Common mistake
- Mixing up the reflection rules: reflecting (3, 5) across the x-axis gives (3, −5), not (−3, 5).
Example Problems
Point Q' is the image of Q under a translation.
What was the translation?
What was the translation?
Point is the image of under a translation.
What was the translation?
What was the translation?
Point is the image of under a translation.
What was the translation?
What was the translation?
Khan Academy ResourcesTranslations reviewRotations reviewReflections reviewReflect shapesDilations: scale factorDetermine rotations (basic)Rotate points (basic)Dilate trianglesDilate pointsReflect pointsRotate pointsDetermine reflectionsDetermine translationsTranslate shapesDilations and propertiesDetermine rotationsPerforming translationsSide lengths after dilationPerforming rotationsDilations: scale factorPerforming reflections
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