Congruent and Similar Figures Transformations

All angles in similar figures are congruent.  

• True

• False

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

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

Are these two shapes congruent or not congruent?

• congruent

• not congruent

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 preimage above is rotated 90^o counterclockwise. How do the side lengths in the preimage compare to the side lengths in the image?

• Some of the side lengths increase in measure and other side lengths decrease in measure.

• The measures of the side lengths double.

• The measures of the side lengths decrease by one third.

• The measures of the side lengths are the same.

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

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

State what type of images these are:

• congruent

• neither

• similar

Which answer shows a reflection across the x-axis?

• d

• c

• b

• a