Similar Triangles

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Similar Triangles
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Similar Triangles

• Similar triangles have
• Congruent corresponding angles
• Sides that are in a direct ratio

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Triangle Similarity Theorems

• You can conclude that two triangles are similar
  if
• AA two pairs of corresponding angles
  are congruent

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Triangle Similarity Theorems

• You can conclude that two triangles are similar
  if
• SSS all three pairs of sides are in the same
  proportion

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Triangle Similarity Theorems

• You can conclude that two triangles are similar
  if
• SAS two pairs of sides are in the same
• proportion and their included angles
  are congruent

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State whether the figures are always, sometimes,
or never similar. Do they always, sometimes,
or never have the exact same shape?

• 7. two squares
• 9. two rectangles
• 11. two pentagons

• 8. two congruent triangles
• 10. two rhombuses
• 12. two regular octagons

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