FlashKeepers

Math · K-12

Geometric Transformations and Symmetry

Translations, reflections, rotations, and lines of symmetry for middle school geometry.

30 cards · basic cards · AI-written, checked twice. Edit anything.

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What is a translation in geometry?
A movement of a figure in a straight line without rotating or flipping it
When a figure is translated, does its size or shape change?
No, a translation preserves both size and shape
If you translate a triangle 5 units right and 3 units up, how far does each vertex move?
The same distance: 5 units right and 3 units up
A translation shifts a figure in which direction?
In a straight line, in the same direction for every point on the figure
What is a reflection in geometry?
A flip of a figure across a line, creating a mirror image
What is the line across which a figure is reflected called?
The line of reflection
When reflecting a point across a vertical line, which coordinate changes?
The x-coordinate (the horizontal coordinate)
When reflecting a point across a horizontal line, which coordinate changes?
The y-coordinate (the vertical coordinate)
Does a reflection preserve the size and shape of a figure?
Yes, but the figure is flipped
What is a rotation in geometry?
A turn of a figure around a fixed point by a given angle
The fixed point around which a figure rotates is called what?
The center of rotation
How many degrees is a quarter turn rotation?
90 degrees
How many degrees is a half turn rotation?
180 degrees
How many degrees is a full rotation?
360 degrees
What happens to size and shape during a rotation?
They are preserved, the figure does not change size or shape

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