Transformations: Dilations

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Presentation transcript:

Transformations: Dilations 1/3/2019 Dilations

Dilations Tell me what you already know! 1/3/2019 Dilations

Dilations Dilations video clip 1/3/2019 Dilations

Dilations: Lesson Objectives You will be able to: Describe a dilation; Find the coordinates of a dilated polygon; Graph a polygon and its dilation; and Describe the change in area of a dilated polygon. 1/3/2019 Dilations

Dilations A dilation is a transformation that changes the size but the shape of an object. Every dilation has a fixed point that is called the center of dilation. 1/3/2019 Dilations

Dilations To dilate an polygon: Graph the polygon. Multiply the x and y coordinates of each of the polygon’s vertices by the given scale factor. Graph the new points. Connect the points to form the dilated polygon. 1/3/2019 Dilations

Dilations Example 1: 1/3/2019 Dilations

Dilations Multiply each point’s coordinates by 2: Example 1: Multiply each point’s coordinates by 2: A = (1 x 2, 1 x 2)  A’ = (2, 2) B = (1 x 2, 3 x 2)  B’ = (2, 6) C = (3 x 2, 1 x 2)  C’ = (6, 2) 1/3/2019 Dilations

Dilations Example 1: 1/3/2019 Dilations

Dilations Example 1: 1/3/2019 Dilations

Dilations Your turn: 1/3/2019 Dilations

Dilations Your turn: 1/3/2019 Dilations

Dilations Sunshine State Standards: C.1.3.1: The student understands the basic properties of, and relationships pertaining to two-dimensional regular and irregular geometric shapes. C.2.3.1: The student understands the geometric concepts of symmetry, reflections, congruency, similarity, perpendicularity, parallelism, and transformations, including flips, slides, turns, and enlargements. B.1.3.3: The student understands and describes how the change of a figure in such dimensions as length, width, height or radius affects its other measurements such as perimeter, area, surface area, and volume. 1/3/2019 Dilations

Dilations GeoGebra dynamic worksheets: Dilation of a square Dilation of a circle 1/3/2019 Dilations