Transformations and Congruency

Which statement BEST describes these two triangles?

• They are not congruent because they are different sizes

• They are congruent because they are both triangles

• They are congruent because they are the same shape and size

• They are not congruent because they are different shapes

What does the BLACK symbol represent?

• similar

• equal

• subtract

• congruent

Which statement BEST describes this shape?

• This is an example of a transformation since it is still a triangle.

• This is an example of a transformation because it has changed.

• This is an example of a transformation because this shape has changed by rotating 90 degrees

• This is NOT an example of a transformation

Something that is congruent is the the same shape and _____?

• number

• height

• size

• width

Which set of transformations could be applied to figure A to map it onto A'?

• reflect over y-axis, then translate down 2 units

• reflect over y-axis, then translate down 6 units

• rotate 180º about the origin, then reflect over x-axis

• rotate 90º CW about the origin, then relfect over x-axisfl

Yes. A dilation with center (0,0) and a scale factor of 1/2 maps ABC to ADE.

• Yes. A dilation with center (0,0) and a scale factor of 1/2 maps ABC to ADE.

• Yes. A dilation with center (0,0) and a scale factor of 2 maps ABC to ADE.

• Yes. A translation 2 units up and 4 units right maps ADE to ABC.

• No. ABC is not similar to ADE.

Are the figures congruent?

(What type of transformation is shown?)

• Congruent (rotation)

• Congruent (reflection)

• NOT Congruent (rotation)

• NOT Congruent (reflection)

Determine if the two figures are congruent by using transformations. Explain your reasoning

• congruent; a rotation

• congruent; a reflection followed by translation

• not congruent

• congruent; a reflection

Which statement is true about the transformation?

• The transformation preserves congruency and maintains orientation.

• The transformation preserves congruency and does not maintains orientation.

• The transformation does not preserves congruency but maintains orientation.

• The transformation does not preserves congruency or maintains orientation.

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.