Lesson 2 7 Dilations Students will be able

Lesson 2. 7 Dilations Students will be able to dilate shapes

Youtube Notes https: //www. youtube. com/watch? v=m. Wrv. Zd x. Q 0_A (notes) https: //www. youtube. com/watch? v=EYKseg MY 8 M 8 (help with page 1 and 2) https: //www. youtube. com/watch? v=Dh. Z_Z 6 9 zae. E (help with page 3)

Dilations A dilation is a type of dilation transformation that enlarges or reduces a figure but the shape stays the same. Pre-image and Image will be similar, but is not congruent. The dilation is described by a scale factor and a center of factor dilation

Dilations The scale factor k is the ratio of the length of any side in the image to the length of its corresponding side in the pre-image. It describes how much the figure is enlarged or reduced.

Two types of dilations ØEnlargement ØReduction u. The dilation is a enlargement if the reduction if the scale factor is greater than 1. between 0 and 1.

• Enlarge by a scale factor of 2 4, 6 Reduce by a scale factor of ¼ 0. 5, 0. 75 Enlarge by a scale factor of 2. 5 5, 7. 5 Reduce by a scale factor of 0. 5 1, 1. 5

Given the vertices of the triangle, find a dilation by a scale factor of 3. y n A (1, 2) A’ (3, 6) n B (3, 3) B’ (9, 9) n C (1, 3) C’ (3, 9) B’ C’ A’ C A B x

Given the vertices of the rectangle, find a dilation by a scale factor of 2/3. y n A (-6, -3) A’ (-4, -2) n B (-6, 3) B’ (-4, 2) n C (6, 3) C’ (4, 2) B n D (6, -3) D’ (4, -2) B’ A A’ C’ D’ C x D

DILATION SHAPE: A (-2, 0) B (0, -2) C (2, 0) D (2, 4) Color Red Scale factor of 2 Algebraic Representation (x, y) ( ) New Coordinates: A’ ( B’ ( C’ ( D’ ( Color Blue Scale factor of 1/2 (x, y) ( ) ) Scale factor of 3 ) (x, y) ( ) A’’’ ( B’’ ( ) B’’’ ( C’’ ( ) C’’’ ( D”( ) D’’’ ( Color Green Color Pink ) )