Congruent
| If one shape can become another using Turns, Flips and/or Slides, then the two shapes are called Congruent: |
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After any of those transformations (turn, flip or slide), the shape still has the same size, area, angles and line lengths. |
Examples
These shapes are all Congruent:
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| Rotated |
Reflected and Moved |
Reflected and Rotated |
Congruent or Similar?
The two shapes need to be the same size to be congruent. (If you need to resize one shape to make it the same as the other, the shapes are Similar)
| If you ... |
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Then the shapes are ... |
| ... only Rotate, Reflect and/or Translate |
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Congruent
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| ... need to Resize |
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Similar
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Congruent? Why such a funny word that basically means "equal"? Probably because they would only be "equal" if laid on top of each other. Anyway it comes from Latin congruere, "to agree". So the shapes "agree" |
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