Properties of Transformations (Handout & Homework

If a transformation produces an image with the same ​ (a)   and ​ (b)   as the pre-image, the figures are ​ (c)  

• shape
• size
• congruent
• height
• width
• length
• similar

The symbol for congruency is

If a transformation produces an image with ​ (a)   sides and ​ (b)   angles, the figures are ​ (c)   .

• proportional
• congruent
• similar
• nonproportional
• different
• obtuse
• right
• acute

The symbol for similarity is

Describe the transformation represented on Hannah's graph.

• Dilated with scale factor of 2

• Reflected over the y-axis

• Reflected over the x-axis

• Rotated 180 degrees

For Giovanni's graph determine which 2 transformation were preformed.

• Reflection over the x-axis

• Translation 4 units right

• Translation 4 units left

For Andrew's graph, what were 2 transformations that took place in his graph.

• Translation 6 units up

• Dilation by a scale factor of 4

• Translation 6 units left

Which graph(s) represent a pre-image that is congruent to the image.

• Hannah

• Giovanni

• Andrew

Which graph(s) represent a pre-image that is similar to the image.

• Hannah

• Giovanni

• Andrew

Ricardo will transform a triangle contained in quadrant II by reflecting over the x-axis and dilating by a scale factor of 0.5.

Which is not a true statement?

• The image will be in quadrant III.

• The orientation of the vertices will change.

• The orientation of the figure will change.

• The image will be congruent to the pre-image.