9.7 Dilations.

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Notes Dilations.

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Presentation transcript:

9.7 Dilations

POD EF AC Scale Factor If ABC ~ DEF, ﬁnd each value.

Investigate Dilations Page 617 Individually, you are going to complete… Step 1 Step 2 Step 3 Draw Conclusions 1-6

Vocab Scalar multiplication – the process of multiplying each element of a matrix by a real number or scalar. Dilation – a transformation in which the original figure and its image are similar. Reduction – a dilation that has a scale factor that lies between 0 and 1. Enlargement – a dilation that has a scale factor greater than 1.

Identify Dilations Find the scale factor of the dilation. Then, tell whether the dilation is a reduction or an enlargement.

Identify Dilations Find the scale factor of the dilation. Then, tell whether the dilation is a reduction or an enlargement.

Scalar Multiplication Simplify the product… 3 You try…

Use scalar multiplication in a dilation The vertices of a quadrilateral KLMN are K(–8, 12), L(–4, 12), M(–4, 4), and N(–8, 4). Use scalar multiplication to find the image of KLMN after a dilation with its center at the origin and a scale factor of 1/4. . Graph KLMN and its image.

Find the image of a composition The vertices of  ABC are A(–3. 2), B(–1, 3), and C(–1, 2). Find the image of ABC after the given composition. Translation: (x, y)  (x + 3, y – 1) Dilation: centered at the origin with a scale factor of 3