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Rotation of Triangle DFG and Symmetry Analysis

In this quiz, we will explore the transformation of triangle DFG, with vertices at D(-2, 4), F(-3, 1), and G(-1, 2), using a 180-degree rotation around the origin. The task is to calculate the coordinates of the new vertices D', F', and G' after the rotation. Additionally, we will analyze the figures on the board for rotational symmetry, determining if they possess such symmetry and identifying the angle of rotation if they do. If a figure lacks symmetry, an explanation is required. For further assistance, please consult Mr. Maisell.

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Rotation of Triangle DFG and Symmetry Analysis

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  1. Objective 9-10 Quiz • ∆DFG has vertices D(-2, 4), F(-3, 1), and G(-1,2). Find the vertices of the image ∆D’F’G’ after a rotation of 180 O around the origin. • Judging from appearance, tell whether each figure on the board has rotational symmetry. If so, what is the angle of rotation? If not, explain. (See Mr. Maisells for these two problems.)

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