Geometry Quiz

Is Figure 1 similar to Figure 2? Explain

For 2 and 3, use the diagram shown. Graph ΔP'Q'R', the image of ΔPQR by a dilation with center (0, 0), a scale factor 2, and a reflection across the y-axis.

Is ΔSTU similar to ΔPQR? Explain.

ΔDEF ≈ ΔABC. What is the sequence of transformations that maps ΔABC to ΔDEF?

Select all the sets of transformations that result in the same image when performed in any order.

• translation, dilation with center (0, 0)

• two translations

• vertical translation, reflection over the y-axis

• reflection over the y-axis, dilation with center (2, 2)

• two reflections over the x-axis

Which of the following transformations does not change the orientation of an image?

• Reflection over the x-axis

• Rotation by 180 degrees

• Translation

• Dilation with center (0, 0)

Identify the sequence of transformations that will map figure A onto figure B.

• Translation followed by a reflection over the y-axis

• Rotation of 90 degrees clockwise

• Dilation with center (1, 1) followed by translation

• Reflection over the x-axis followed by rotation of 180 degrees

Which set of transformations is commutative, meaning the order of operations does not affect the final image?

• Rotation of 90 degrees and reflection over the x-axis

• Two rotations of 90 degrees

• Translation and rotation of 180 degrees

• Dilation with center (0, 0) and reflection over the y-axis