Mrs.D Math · 8th Grade

SLIDE
RIDER

Properties of Translations · Geometry
🔄 Translation
➡️ Slide
📌 Preimage → Image
➡️ Slide Right
⬇️ Slide Down
🗺️ Same Shape
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📚 Properties of Translations

What Is a Translation?

A translation slides every point of a figure the same distance in the same direction. The shape does not turn, flip, or resize — the image is congruent to the preimage.

➡
Right / Left changes the x-coordinate. Right adds, left subtracts.
right 3: x → x + 3
⬆
Up / Down changes the y-coordinate. Up adds, down subtracts.
down 2: y → y − 2

Finding the Image Point

Add the slide amounts to the coordinates.

✓
(2, 3) translated right 4, down 2 → (2+4, 3−2) = (6, 1)
✓
Rule notation: (x, y) → (x + 4, y − 2)

How to Play

🔍
What Was the Translation — Every question shows A and A′ on a graph. Easy: pick the words (like “3 units right, 2 units up”). Medium: pick the rule with the words. Hard: pick the rule in (x, y) form.
📌
What Is the Image — Easy: tap the image point on the graph. Medium & Hard: a mix of graph tapping and coordinate choices.
🎗
Mixed — All question types together!
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