Double Prime Transformation Similar and Congruent

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 clockwise rotation of 90 degrees followed by a translation

• congruent; a reflection followed by a translation

• congruent; translation

• not congruent

Write congruence statements comparing the corresponding parts in the congruent figures shown.

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Determine if the two figures are similar by using transformations.

• Similar; a reflection and a dilation map one figure onto the other

• Similar; a translation and a dilation map one figure onto the other

• Similar; a rotation and a dilation map one figure onto the other

• The figures are not similar

Find the value of x in the similar polygons above

• 3 ft

• 9 ft

• 15 ft

• 6 ft

The two triangles shown in the figure are similar. Find the distance d across the river.

• 81 meters

• 18 meters

• 16 meters

• 25 meters

Write a proportion comparing the rise to the run for each of the similar slope triangles and find the numeric value.

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The figures shown are similar. Find the perimeter of the second figure.

• 53.3 in.

• 30 in.

• 48 in.

• 32 in.

What does similar mean?

• resembling without being identical

• the exact same

• slightly the same

• congruent

What does congruent mean?

• the same number of sides

• identical in form

• different from each other

• same size

The figures shown are similar. Find the perimeter of the second figure.

• 18 cm

• 25 cm

• 20 cm

• 16 cm