They need to learn about dilations because nothing is perfect on the first try. In this lesson, students learn about dilations and how they are used to make shapes bigger or smaller in the coordinate plane. Transformation: A passage from one figure or expression to another as a correspondence or mapping of one space on another or on the same space.Īctive Engagement, Explicit Instruction W:.Stretch: To make something wider or longer in geometry, a dilation.Slope: The angle of inclination for a straight line, the tangent of the angle that the line makes with the positive x-axis.Shrink: To become smaller in size in geometry, a dilation with a scale factor Scale Factor: The multiple by which a geometric object is enlarged or reduced scale factors >1 enlarge the linear dimensions of the object and scale factors A polygon is concave if it is not convex. A polygon is convex if each interior angle is less than or equal to 180 degrees. Polygon: A closed-plane figure consisting of points called vertices and segments called sides, which have no common point except for end points.Perpendicular Lines: Two lines are perpendicular to each other if, in a plane, the slope of one of the lines is the negative reciprocal of the other two straight lines that intersect such that they form a pair of equal adjacent angles.Only one line can be drawn parallel to a given line through a given point not on the line. Parallel Lines: Equidistant, apart if two lines are cut by a transversal, and the sum of the interior angles on one side of the transversal is less than a straight angle, the two lines will meet if produced, and will meet on that side of the transversal.Dilation: A linear transformation that enlarges or shrinks objects by a scale factor that is the same in all directions.
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