4.6 Similarity and transformation

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Presentation transcript:

4.6 Similarity and transformation Warmup: Solve for each variable.

4.6 Similarity and transformation

4.6 Similarity and transformation

4.6 Similarity and transformation Learning Check:

4.6 Similarity and transformation

4.6 Similarity and transformation

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

4.6 Similarity and transformation

4.6 Similarity and transformation

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.

4.6 Similarity and transformation Learning Check:

4.6 Similarity and transformation 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.

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