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Common Core Standard HSG-CO.A.2 Questions

Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).

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Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.2
Name the four types of transformations.
Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.2
Señor Domínguez made the following conjecture: "Any transformation of triangle LMN on a coordinate grid results in a congruent image."

Which transformation represents a counterexample to this statement?
  1. Triangle LMN is relfected over the line y = -5.
  2. Triangle LMN is translated 4 units left and 2 units down.
  3. Triangle LMN is rotated 90° counterclockwise about the origin.
  4. Triangle LMN is dilated with a scale factor of 2 about the origin.
Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.2
How is the transformation between the two graphs best described?
Graph - Linear Function y=-xGraph - Linear Function y=x
  1. Translation
  2. Rotation
  3. Reflection
  4. Reflection or rotation
Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.2
How is the transformation between the two graphs best described?
Graph - Linear Function y=1/2x Graph - Linear Function y=2x
  1. translation
  2. rotation
  3. reflection
  4. reflection and rotation
Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.2
A translation is best described as
  1. sliding.
  2. flipping.
  3. spinning.
  4. warping.

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