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Area and Volume of Similar Shapes (C) WORKSHEET
Suitable for Grades: Geometry, IM 2
CCSS: HSG.SRT.A.1.B, HSG.SRT.A.2
CCSS Description: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
Area and Volume of Similar Shapes (C) WORKSHEET DESCRIPTION
This worksheet is designed to give learners the opportunity to explore the connection between the lengths, areas, and volumes of similar shapes. It looks at the relationship between the length scale factor (LSF), area scale factor (ASF) and the volume scale factor (VSF). It also gives questions involving the ratios of the lengths, areas and volumes of similar shapes. The sections are sturucured to ramp up the difficulty and scaffold the problems to build understanding. The worksheet ends with some exam style problems to solve.
