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Math · K-12 · School

Geometric Transformations and Symmetry

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

About this set

30 basic cards for K-12 Math. It opens with "What is a translation in geometry?" and "When a figure is translated, does its size or shape change?". Study it alongside the other K-12 sets below.

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What is a translation in geometry?
Show answerA movement of a figure in a straight line without rotating or flipping it
When a figure is translated, does its size or shape change?
Show answerNo, 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?
Show answerThe same distance: 5 units right and 3 units up
A translation shifts a figure in which direction?
Show answerIn a straight line, in the same direction for every point on the figure
What is a reflection in geometry?
Show answerA flip of a figure across a line, creating a mirror image
What is the line across which a figure is reflected called?
Show answerThe line of reflection
When reflecting a point across a vertical line, which coordinate changes?
Show answerThe x-coordinate (the horizontal coordinate)
When reflecting a point across a horizontal line, which coordinate changes?
Show answerThe y-coordinate (the vertical coordinate)
Does a reflection preserve the size and shape of a figure?
Show answerYes, but the figure is flipped
What is a rotation in geometry?
Show answerA turn of a figure around a fixed point by a given angle
The fixed point around which a figure rotates is called what?
Show answerThe center of rotation
How many degrees is a quarter turn rotation?
Show answer90 degrees
How many degrees is a half turn rotation?
Show answer180 degrees
How many degrees is a full rotation?
Show answer360 degrees
What happens to size and shape during a rotation?
Show answerThey are preserved, the figure does not change size or shape

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