Similar Transformations

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.

• rotation

• translation

• dilation

• reflection

Choose the best term for the description.

After the transformation is performed, the prime image is the same shape, but different in size to the pre-image.

• Congruent

• Similar

• Scale Factor

• Prime Image

Which series of transformations shows that rectangle A is similar to rectangle B?

• Rotate rectangle A 180° about the origin, dilate it by a scale factor of two, and reflect it across the x-axis.

• Rotate rectangle A 180° about the point (-1, -1), dilate it by a scale factor of two, and reflect it across the y-axis.

• Rotate rectangle A 180° about the point (-1, -1), dilate it by a scale factor of two, and translate it one unit up and five units to the left.

• Rotate rectangle A 180° about the origin, dilate it by a scale factor of two, and translate it five units to the left.

Describe the transformation that occurred.

• Dilation

• Refection

• Translation

• Rotation

Determine two similarity transformations that would map triangle 1 onto triangle 2.

• Rotated across the y-axis 180 degrees around the origin and then dilated from the origin by a scale factor of 3

• Rotated 90 degrees clockwise or counterclockwise across the x-axis and then dilated from the origin by a scale factor of 4

• Reflected across the line, y=-x, and then dilated from the origin by a scale factor of 1/4

• Rotated 180 degrees around the origin and then dilated from the origin by a scale factor of 4

Determine if the two figures are similar by using transformations.

• similar; a reflection and a dilation map one figure onto the other.

• similar; a rotation and a dilation map one figure onto the other.

• similar; a translation and a dilation map one figure onto the other.

• The figures are not similar.

Determine two similarity transformations that would map triangle 1 onto triangle 2.

• Reflected across the y-axis and then dilated from the origin by a scale factor of 2

• Reflected across the x-axis and then dilated from the origin by a scale factor of 1/2

• Reflected across the y-axis and then dilated from the origin by a scale factor of 1/2

• Rotated across the y-axis and then dilated from the origin by a scale factor of 2

Quad OBCD is similar to Quad OHTE because:

• Quad OBCD can be reflected over the x axis and then rotated 90 degrees

• Quad OBCD can be reflected over the x-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 1/2.