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Understanding Congruent and Similar Figures in Geometry

Learn the difference between congruent and similar figures in geometry, including motions like translation, reflection, and rotation. Discover how symmetry plays a role in identifying congruent shapes.

darius-padilla
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Understanding Congruent and Similar Figures in Geometry

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  1. GEOMETRY SLIDESHOW 2:

  2. CONGRUENTFigures are the same SIZE and SHAPE Congruent NOT Congruent NOT Congruent not same size not same shape

  3. Which figures are congruent?

  4. Did you get the following pairs? • A and G • D and I • E and J • C and H • Remember: Shapes can be congruent even if one of them • has been rotated (as in A and G) or reflected (as in C and H).

  5. SIMILAR Figures have the same shape, but not size. Similar Similar Similar

  6. SIMILAR Figures have the same shape, but not size.

  7. MOTIONS:There are 3 different ways to move a plane figure: *SLIDE*FLIP*TURN

  8. *SLIDE – Translation*FLIP – Reflection*TURN - Rotation

  9. SLIDE: TRANSLATION • Moves a figure in a straight direction

  10. FLIP: REFLECTION • gives a mirror image of a figure

  11. TURN: ROTATION • moves a figure about a point

  12. A slide or translation…

  13. A slideor translation… moves a figure in a straight direction L L

  14. A flip or reflection…

  15. A flipor reflection… gives a figure its mirror image L L

  16. A turnor rotation…

  17. A turnor rotation… moves a figure about a point L L

  18. SYMMETRYA rectangle is a symmetric figure because it can be folded into 2 congruent halves that fit on top of each other.Each of your folds lie along a line of symmetry. The rectangle has two lines of symmetry.

  19. SYMMETRYThis W has only one line of symmetry. W

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