MathIsimple

Geometric Transformations

Master geometric transformations! Learn translations, rotations, reflections, and understand which properties are preserved under rigid motions.

9th Grade
Geometry
~60 min
🎮 Interactive Activity: Translation Explorer

Explore translations of geometric figures!

Original:

Point A(2, 3)

Translation: (3, 2)

↓

Transformed:

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🎮 Interactive Activity: Rotation Finder

Find rotation rules for common angles!

Rotation: 90° counterclockwise about origin

1. Translations

Sliding a Figure

A translation moves every point the same distance in the same direction. It preserves distance, angle measure, and orientation.

Translation Rule: (x, y) → (x + a, y + b)

Example: Translate point (3, 4) by (2, -1)

Solution: (3 + 2, 4 + (-1)) = (5, 3)

Result: Point moves 2 units right and 1 unit down

2. Rotations
3. Reflections
4. Rigid Motions & Properties
Frequently Asked Questions

Practice Time!

Practice Quiz
10
Questions
0
Correct
0%
Score
1
What transformation preserves distance and angle measure?
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2
Translate point (3, 4) by (2, -1)
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3
What is the result of rotating (4, 3) 90° counterclockwise about the origin?
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4
Reflect point (5, -2) across the x-axis
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5
What is a rigid motion?
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6
Rotate (2, 5) 180° about the origin
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7
What properties are preserved under reflection?
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8
Translate triangle with vertices (1,1), (3,1), (2,4) by (2, 3)
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9
What is the result of reflecting (3, -4) across the y-axis?
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10
Which transformation does NOT preserve orientation?
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