Exercises: Draw Transformed Figures and Specify Transformation Sequences

Show your work for each problem. When asked to draw a figure, list all image vertices with their coordinates.

Grade 9·21 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-co-a-5

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Fluency Practice

Apply the given transformation to each vertex. List all image coordinates.

Quadrilateral $PQRS$ has vertices $P(0, 0)$ , $Q(4, 0)$ , $R(4, 3)$ , and $S(0, 3)$ . It is translated by vector $(-3, 2)$ .

What are the coordinates of $P'$ , $Q'$ , $R'$ , and $S'$ ?

$P'(-3, 2)$ , $Q'(1, 2)$ , $R'(1, 5)$ , $S'(-3, 5)$

$P'(3, -2)$ , $Q'(7, -2)$ , $R'(7, 1)$ , $S'(3, 1)$

$P'(-3, 2)$ , $Q'(1, 2)$ , $R'(4, 3)$ , $S'(0, 3)$

$P'(-3, 2)$ , $Q'(1, 2)$ , $R'(1, 3)$ , $S'(-3, 3)$