M2 8.1-8.2 Notes - Weebly

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8.1 Dilations Objective: Today we will identify & perform dilations and we will solve real-life problems involving scale factors & dilations. Warm-up: COPY the Vocab. 1. DILATION : a DILATION is a transformation in which a figure is ENLARGED or reduced with respect to a fixed point C & by a factor of k. 2. CENTER of DILATION : the fixed point C in which a dilation is performed with respect to is called the CENTER OF DILATION. 3. SCALE FACTOR : the SCALE FACTOR k of a dilation is the RATIO of the lengths of the corresponding sides of the IMAGE and the PREIMAGE. 4. ENLARGEMENT : when the scale factor >1, the dilation is an ENLARGEMENT. 5. REDUCTION : when the scale factor 0< <1, the dilation is a REDUCTION.

Transcript of M2 8.1-8.2 Notes - Weebly

8.1 Dilations

Objective: Today we will identify & perform dilations and we will solve real-life problems involving scale factors & dilations.

Warm-up: COPY the Vocab.

1. DILATION : a DILATION is a transformation in which a figure is ENLARGED or reduced with respect to a fixed point C & by a factor of k.

2. CENTER of DILATION : the fixed point C in which a dilation is performed with respect to is called the CENTER OF DILATION.

3. SCALE FACTOR : the SCALE FACTOR k of a dilation is the RATIO of the lengths of the corresponding sides of the IMAGE and the PREIMAGE.

4. ENLARGEMENT : when the scale factor 𝒌 > 1, the dilation is an ENLARGEMENT.

5. REDUCTION : when the scale factor 0 < 𝒌 < 1, the dilation is a REDUCTION.

Checkpoint: Graph the polygon & its image after a dilation with the given scale factor k.

𝑨(−𝟓, −𝟏𝟎), 𝑩(−𝟏𝟎, 𝟏𝟓), 𝑪(𝟎, 𝟓); 𝒌 = −𝟏/𝟓

8.1 Similarity & Transformations

Objective: Today we will perform similarity transformations, describe similarity transformations, & PROVE that figures are similar.

Checkpoint: COPY the Vocab.