Congruent Figures and Transformations

to slide or move a figure

• Translation

• Reflection

• Rotation

• Dilation

Are the figures congruent?

(What type of transformation is shown?)

• NOT Congruent (dilation)

• NOT Congruent (translation)

• Congruent (dilation)

• Congruent (translation)

Describe the transformation:

(x, y) -> (x-1, y+1)

• Translation 1 unit to the left & 1 unit down

• Translation 1 unit to the left & 1 unit up

• Translation 1 unit to the right & 1 unit down

• Translation 1 unit to the right & 1 unit up

Describe the transformation:

(x, y) -> (x, y-10)

• Translation 10 units to the left

• Translation 10 units up

• Translation 10 units to the right

• Translation 10 units down

Describe the transformation:

(x, y) -> (x, -y)

• reflection across the x-axis

• reflection across the y-axis

• rotation 90 degrees clockwise

• rotation 90 degrees counterclockwise

Describe the transformation:

(x, y) -> (-y, x)

• reflection across the x-axis

• reflection across the y-axis

• rotation 90 degrees clockwise

• rotation 90 degrees counterclockwise

Describe the transformation:

(x, y) -> (x, 2y)

• Horizontal translations 2 units to the right

• Vertical translation 2 units up

• Horizontal stretch 2 times as wide

• Vertical stretch 2 times as tall

Are these figures congruent?

• yes

• no

Write a congruence statement for the triangles.

Determine if the two figures are congruent by using transformations. If so, explain the transformation or transformations that map the first figure onto the second figure.

• congruent; a counterclockwise rotation of 90° followed by a translation

• congruent; reflection

• congruent; translation

• not congruent