Congruent Figures and Transformations

Tell whether the two figures are congruent.

• Yes, same size and same shape

• No, same shape but different sizes

• No, different size and different shapes

Congruent geometric figures have the:

• Same size

• Sides Equal

• Same Size and Same Shape

• Angles Equal

Is the picture being reflected in the y-axis or x-axis?

• y-axis

• x-axis

What is this picture an example of?

• Translation

• Reflection

• Rotation

• Dilation

Tell whether the two figures are congruent.

• Yes, same size and same shape

• Yes, same shape and proportional size

• No, different size and different shapes

• No, same shape but different sizes

Are the figures congruent?

(What type of transformation is shown?)

• Congruent (rotation)

• Congruent (reflection)

• NOT Congruent (rotation)

• NOT Congruent (reflection)

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

Which series of transformations shows that the figures are congruent?

• Reflect figure a over the y-axis, then rotate 90° around the origin.

• Reflect figure a over the y-axis, then reflect over the x-axis.

• Translate figure a 6 units right, followed by a reflection in the x-axis.

• Rotate figure a 180° around the origin, then reflect it over the x-axis.

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 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.