Polygon Transformations and Congruent Figures

a transformation that enlarges or reduces a figure by a scale factor

• reflection

• translation

• dilation

• rotation

the original figure before a transformation

• congruent

• similar

• image

• preimage

when a figure can be rotated less than 360 degrees about its center and still look like the original

• rotational symmetry

• scale factor

• center of rotation

• composition of transformations

the ratio of the lengths of two corresponding sides of two similar polygons

• similar

• scale factor

• corresponding parts

• congruence statements

polygons that have the same shape but different sizes

• similar polygons

• dilation

• regular polygon

• congruent polygons

Write a rule for the translation.

•  (x - 1, y  + 2)

•  (x - 2, y  + 1)

•  (x + 2, y  - 1)

• (x + 1, y  -  2)

Reflect Point C over the y-axis:

• (-3, 2)

• (3, 2)

• (-2, 3)

• (3, 0)

Are the two triangles similar? If so, what is the scale factor?

• Yes, 2

• No

• Yes, 1/2

• Yes, 3

What happens to the coordinates when you reflect a polygon over the x-axis?

Which rule describes the action of the coordinates when a figure is dilated by a scale factor of 2?

• (x, y)→(x+2, y+2)

• (x, y)→(2x, 2y)

• (x, y)→(x/2, y/2)

• (x, y)→(x-2, y-2)