Math Transformation Images

Choose all possible sequences of transformations that would map figure MATH to figure M'A'T'H'.

• Rotate 180 degrees

• Rotate 90 degrees clockwise, then reflect across the x-axis

• Rotate 90 degrees counter clockwise, then reflect across the y-axis

• Reflect over the line y=x

• None of the above

Choose the statement that accurately describes the relationship between ABCD and EFGH.

• ABCD and EFGH are congruent, but not similar.

• ABCD and EFGH are similar, but not congruent.

• ABCD and EFGH are both congruent and similar.

• ABCD and EFGH are neither congruent, nor similar.

Answer explanation

The figures are similar, because they have congruent corresponding angles and proportional corresponding side lengths.

They are not congruent, because they are not the same size (the corresponding side lengths are not congruent/equal).

Which of the following images shows a rotation of 180^o?

• 
• 
• 
• 

Answer explanation

A 180 degree rotation is half of a full rotation, so it will result in a figure being rotated upside down and in the opposite quadrant of the graph.

Which sequence of transformations will map PQRT to its image P'Q'R'T'?

• A translation, then a reflection over the y-axis.

• A reflection over the x-axis, then a translation.

• A rotation 90^o clockwise, then a reflection over the x-axis.

• A rotation 180^o clockwise, then a reflection over the y-axis.

Which of the following describes the sequence of transformations shown?

• Reflection, then a rotation.

• Rotation, then a translation.

• Reflection across the x-axis, then a reflection across the y-axis.

• Translation, then a rotation.

If you were to reflect ABCD across the y-axis, what would the coordinate of A' be?

• (3, -5)

• (-3, 5)

• (-5, 3)

• (-5, 5)

Are the figures congruent? (What type of transformation is shown?)

• NOT Congruent (dilation)

• NOT Congruent (translation)

• Congruent (dilation)

• Congruent (translation)

The image shows what type of transformation

• Rotation

• Translation

• Reflection

Rotation or Reflection

• Rotation

• Reflection

• translation

The resulting figure after the transformation

• pre-image

• image

• rigid motion

• congruent