Prove Figures Are Congruent With Transformations

How would you prove these figures are congruent?

• Say they are the same shape, same size

• Find a pair of sides that are not the same length

• Describe a sequence of transformations that takes one figure to the other.

• Say that they are the same

Which description PROVES that these figures are congruent?

• You can reflect

• Because they are

• They are the same size

• You can reflect figure A across the y-axis and it will line up with figure A'

Choose the correct sequence of transformations.

• Reflect across the x axis, then translate 2 units up

• Translate 5 units up and 4 units left

• Rotate 90 degrees clockwise about the origin, then translate 6 units up and 1 unit right

• Rotate 180 degrees about the origin.

Choose the correct sequence of transformations.

• Translate 6 units right & then reflect across the x-axis

• Rotate 90 degrees clockwise about the origin

• Rotate then Reflect

• Reflect across the y-axis then reflect across the x-axis

Triangle ABC is congruent to triangle DEF. Which series of transformations maps DEF onto ABC?

• dilation followed by a reflection

• rotation followed by a dilation

• translation followed by a dilation

• rotation followed by a translation

The figures below are congruent. Which series of transformations maps figure ABCD onto EFGH?

• rotation followed by a translation

• rotation followed by a dilation

• reflection followed by a translation

• reflection followed by a rotation

What transformation does NOT preserve congruence?

• dilation

• rotation

• reflection

• translation

Are the figures congruent?

(What type of transformation is shown?)

• Congruent (rotation)

• Congruent (reflection)

• NOT Congruent (rotation)

• NOT Congruent (reflection)

What is a congruent transformation?

• A congruent transformation is a transformation that preserves the shape and size of a figure.

• A congruent transformation is a transformation that changes the shape and size of a figure.

• A congruent transformation is a transformation that only preserves the shape of a figure.

• A congruent transformation is a transformation that only preserves the size of a figure.

Choose the sequence of transformations that includes ALL of the required information. (Read them carefully)

• Rotate then reflect

• Rotate 90 degrees counterclockwise about the origin, then reflect across the x-axis

• Rotate 90 degrees about the origin, then reflect across the x-axis

• Rotate 90 degrees counterclockwise, then reflect across the x-axis