Chapter 7- Congruence and Similarity

Determine if the two figures are congruent by using transformations.

• Yes, they are congruent

• No, they are not congruent

• Yes, they are congruent. A reflection over the horizontal axis.

• reflection

Write a congruence statement.

• angles and sides

• sides

• angles w and x, u and y, s and t. Sides wu and xy, us and yt, sw and tx.

• angles

Determine if the two figures are similar using transformations. (blue to green)

• similar

• dilation

• rotation

• a rotation of 90° followed by a dilation of 2.

Find the value of x in the similar polygons.

• 6ft

• 9ft

• 3ft

• 12ft

A stop sign casts a shadow 8 meters long, while a bush nearby casts a shadow 4.5 meters long. If the stop sign is 3.2 meters high, how tall is the bush?

• 11.3 m

• 1.8 m

• 3.2 m

• 9.5 m

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

• 16.8 mm

• 25.2 mm

• 14.4 mm

• 20.7 mm

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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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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