Dilations & Scale Factor
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All transformations in this test are Dilations. What is a Dilation? Dilations red or blue enlarge or shrink dog or cat Dilations are changes caused by scale factors. Dilated by a scale factor of 4 -->means •4 2 4 3 •4 8 16 Dilated by scale factor of ⅓----> means multiply by ⅓. Note: Multiplying by ⅓ is the same as dividing by 3. 24 18 21 • ⅓ 8 6 pre-image (2,6) Dilate a point by a scale factor of 5. x5 x5 multiply the x by 5 multiply the y by 5 (10, image ) (4,-7) pre-image Dilate by a scale factor of ( image , 3 ) (-9,-7) pre-image Dilate by a scale factor of ( image 4 , ) (8,10) Dilate by a scale factor of pre-image ( 1/2 image , ) Dilate by a scale factor of (20,36) pre-image ( 1/4 image , ) Dilate by a scale factor of (8,-2) pre-image ( 6 image , ) Dilate by a scale factor of (24,42) pre-image ( 1/6 image , ) (-4,-7) pre-image Dilate by a scale factor of ( image , 2 ) Dilate by a scale factor of (-15,30) pre-image ( 1/5 image , ) 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 B' A' C' ( ( ( , , , A ) ) ) B C Dilate by k = 2 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Dilate by k =1/2 B' A' C' ( ( ( , , , ) ) ) B A C 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 B' A' C' ( ( ( , , , B ) ) ) A Dilate by k = 3 C  3 in D F E 9 in D' F' Find the scale factor: (reduce) PRE IMAGE E' = 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 PRE IMAGE Find the scale factor: (reduce) = T V V' T' R' S' R S Find the scale factor: Δ PSU is a dilation of Δ RST. 8 ½ 16 2 16 { R 8 P 8 S U T  Translation Rotation Reflection Dilation Identify transformation that maps ▲DOG to ▲D'O'G'. x-axis y-axis origin ΔD'O'G' is a reflection of ΔDOG. What is the line of reflection? Reflection Dilation Translation Rotation Identify the transformation that maps ΔD'O'G' to ΔD''O''G''. Identify the scale factor of the dilation of D'OG' to D''O''G''. ½ 2 ¼ 4 |
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