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4.6 Similarity and transformation

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Presentation on theme: "4.6 Similarity and transformation"— Presentation transcript:

1 4.6 Similarity and transformation
Warmup: Solve for each variable.

2 4.6 Similarity and transformation

3 4.6 Similarity and transformation

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Learning Check:

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In-Class Activity: Complete exercises 3 – 6 on page 219.  Graph each transformation.  Check answer key and turn in when you're finish.

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10 4.6 Similarity and transformation
Recall that square ABCD is similar to square EFGH iff there is a similarity transformation that maps one onto the other.   A translation maps point A onto point E.   Then a dilation centered at point E with a scale factor of k=2 maps point B to point F, point C to point G, and point D to point H.   Angle measures are preserved in all transformations.  A similarity transformations maps square ABCD to square EFGH therefore they are similar.

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Learning Check:

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Learning Check: Triangle KLJ is similar to triangle NPM iff there is a similarity transformation that maps one onto the other.  A translation maps point L onto point P.  A dilation centered at point P with a scale factor of k = v/t maps point K to point N and point J to point M.  Triangle KLJ is mapped to triangle NPM by a similarity transformation therefore they're similar.

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In-Class Activity: Complete the exercises 9-14 on pg 219.  Check answer key and turn in when you're finished.


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