Dilation Scale Factor Congruency

A transformation is applied to a figure to create a new figure. Which transformation does NOT preserve congruency?

• Translation

• Reflection

• Rotation

• Dilation

Determine a series of transformations that would map polygon ABCD onto polygon A'B'C'D'?

• reflection over the x - axis followed by a dilation centered at the origin with a scale factor of 1/3

• reflection over the x-axis followed by a dilation centered at the origin with a scale factor of 3

• rotation of 90 degrees clockwise followed by a dilation centered at the origin with a scale factor of 1/3

• rotation of 90 degrees clockwise followed by a dilation centered at the origin with a scale factor of 3

Figures A and B are similar.  Which transformation of figure A shows that A and B are similar?

• Translation 3 units up

• Translation 3 units down

• Dilation by a scale factor of 3

• Dilation by a scale factor of 1/3

Select the correct transformation.

• Dilation using scale factor of 2/3 , followed by x-axis reflection

• Y axis reflection followed by dilation with 2/3 as scale factor

• 90 CW rotation followed by dilation with 2/3 as scale factor

• Dilation using scale factor of 2/3 followed by a 180 rotation

Are these two cones similar, congruent or neither

• similar with 3/4 scale factor

• similar with 4/3 scale factor

• congruent

• not similar or congruent

Jashon performed a transformation on a triangle with pre-image coordinates D(-6,0) E(-6,3) and F(-9,9). The coordinates of the image are D'(-2,0) E'(-2,1) and F' (-3,3). He challenges his friend Steve to describe the transformation. What response is correct?

• The pre-image was translated 3 units to the left

• The pre-image was translated 3 units to the right

• The pre-image was dilated by a scale factor of 1/3.

• The pre-image was dilated by a scale factor of 3.

Which of the following transformations results in SIMILAR (not congruent) figures?

• translation

• reflection

• rotation

• dilation

ABC has vertices (9,-3), (3,5) and (5,9) respectively.  Its image A’B’C’ has coordinates (-6,-3),(6,6) and (12,3). Which sequence of transformations can be applied to show the two triangles are similar.

• 270 CCW rotaton, followed by translation 7 left and 1 up, then dilaton using 3/2 as scale factor

• 90 CCW rotaton, followed by translation 7 right and 1 down, then dilaton using 2/3 as scale factor

• Translation 7 left and 1 up, followed by 270 CCW rotation, then dilaton using 3/2 as scale factor

• Translation 7 right and 1 up, followed by 90 CCW rotation, then dilaton using 2/3 as scale factor

What series of transformations occurred?

• Translation Left 2, Dilation by 3

• Translation Left 3, Dilation by 2

• Reflection over y-axis, Dilation by 2

• Reflection over y-axis, Dilation by 1/2

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).