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Similarity!

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  • Are these two triangles similar? If they are, what is the scale factor?
    Yes! F -> G (2) | G -> F ((1/2)
  • Are these two triangles similar? If they are, what is the scale factor?
    Yes! 3 or 1/3
  • Are these two triangles similar? How do you know?
    No! The triangles don't share a common scale factor
  • What is an example of a scale factor that expands a shape?
    x > 1
  • Are these two triangles similar? How do you know?
    No! The triangles don't share a common scale factor
  • Are these rectangles similar? How do you know?
    No! The triangles don't share a common scale factor
  • Find the length of the missing side
    x = 2
  • Are these two triangles similar? If they are, what is the scale factor?
    Yes! 2 or 1/2
  • What is an example of a scale factor that shrinks a shape?
    0 < x < 1
  • What transformation(s) preserve the size/measurements of a figure? Why?
    Translations, reflections, rotation because they're rigid transformations!
  • Find the length of the missing side
    x = 5
  • Do you agree: when dilating a shape, the corresponding angles will change in measurement
    Disagree!
  • Why are these two triangles similar?
    Their corresponding angles are congruent!
  • What is your scale factor from q to p?
    1/3
  • what is your scale factor from l to k?
    2
  • what is your scale factor from d to c?
    1/4
  • True or False: Similar polygons will have congruent corresponding angles AND proportional side lengths
    Yes!
  • What is your scale factor from c to d?
    4!
  • what is your scale factor from k to l?
    1/2
  • Are these two triangles similar? How do you know?
    No! The triangles don't share a common scale factor
  • Are these two triangles similar? If they are, what is the scale factor?
    Yes! 2 or 1/2
  • Are these two triangles similar? If they are, what is the scale factor?
    Yes! From a -> b (1/2) | from b -> a (2)
  • Are these two triangles similar? If they are, what is the scale factor?
    Yes! 3/2 or 2/3
  • What is your scale factor from p to q?
    3