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Transformation Quiz

Author:Christopher Rose

Rules

Graph △XYZ with vertices X(2, 3), Y(−3, 2), and Z(−4,−3) and its image after the translation (x, y)→(x, y+2).
Graph the image of the triangle after a reflection over x=4.
Graph the polygon with vertices A(−3,−1), B(2, 2), C(3,−3) and its image after a rotation 90° about the origin.
Graph the quadrilateral with vertices W(−2,−1), X(−1, 3), Y(3, 3), Z(3,−3) and its image after a rotation 180° about the origin.

Symmetry

How many lines of symmetry does the figure have?

Assume all segments in the diagram above are congruent. Determine whether the figure has rotational symmetry.  If so, describe the rotations that map the figure onto itself.

Transformation Recognition

Describe a congruence transformation, with transformation rules, that maps △DEF to △JKL. D(2,−1), E(4, 1), F(1, 2) and J(−2,−4), K(−4,−2), L(−1,−1)

Identify the transformation that is equivalent to reflecting an object in two parallel lines.

Identify the transformation that is equivalent to reflecting an object in two intersecting lines.

Real world

While reading a book you find there's a map to follow the characters' journey. The map is a square that takes up the top half of the page. Taking up the bottom half is a map that zooms in on the plot's current location. This shows that the characters are currently in the top right 1/8 of the first map. If the page has six inches of space dedicated to the maps, how far did the publisher translate the zoomed in map on the page, and what is the scale factor?

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