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Congruent vs Similar vs Proportional

Congruent vs Similar vs Proportional. Congruent: Similar: Proportional:. Corresponding parts. If two polygons are congruent, then their corresponding parts are congruent. For example: Since QRS = HGJ That means. Are these congruent or similar or neither?. 10 cm. 10 cm. x cm.

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Congruent vs Similar vs Proportional

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  1. Congruent vsSimilarvsProportional • Congruent: • Similar: • Proportional:

  2. Corresponding parts If two polygons are congruent, then their corresponding parts are congruent. For example: Since QRS = HGJ That means

  3. Are these congruent or similar or neither? 10 cm 10 cm x cm 10 cm

  4. Similar Triangles Triangles are similar if: 1. All angles are congruent 2. Corresponding sides are proportional Symbol: ABC ~ DEF Example: E B 80° 80° 2 2 6 6 50° 50° A C 5 50° 50° D F 15

  5. Corresponding Sides B • Sides that match ABC ~ XBY AC corresponds to ____ AB corresponds to _____ BY corresponds to _____ X Y A C

  6. Are the triangles similar? E No, ¾ is not proportional to ½ B 4 3 A 1 C D F 2

  7. Are the triangles similar? Why or why not? 2 1.5

  8. If ABC ~ DEF, find x E B 9 40.5 A 11 C F D x

  9. Other Polygons Can Be Similar Too*They still must have congruent angles and sides must be proportional B F C G 2 5 H E A D 16 If the two figures are similar, what is the measure of side EH?

  10. You try!

  11. Which polygons are always similar? (hint: they always have congruent angles and they will always have proportional sides) • Rhombuses • Squares • Triangles • Pentagons

  12. You Try If the two figures are similar, what is the value of x? 52 8 x 71.5 • 11 • 5.81 • 464.75 • 14

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