Congruency and Similarity Transformations

Select the signs for x and y that correctly map the preimage (blue) onto the image (red).

• (-x, -y)

• (x, -y)

• (-x, y)

• no reflection

Olivia translated Triangle DEF 4 units vertically to form Triangle GHJ. If Olivia performed the translation correctly, what is the measure of Angle H?

• 17.5°

• 28.0°

• 32.5°

• 43.0°

What transformation shows that the triangles are congruent?

• reflection

• rotation

• translation

• dilation

Triangle ABC was rotated 90 degrees counterclockwise around the origin. Which line segment must be congruent to line segment AB?

• Line segment OH

• Line segment TO

• Line segment TH

• The triangles are congruent to each other.

• The area and perimeter of these triangles are the equal.

What transformation shows that these triangles are congruent?

• reflection

• rotation

• dilation

• translation

SELECT ALL the transformations that result in Congruent Figures!

• Translation

• Dilation

• Rotation

• Reflection

The two triangles are

• not congruent.

• congruent by a translation transformation.

• congruent by a reflection transformation.

• congruent by a rotation transformation.

Diego made the shape on the left, and Elena made the shape on the right. Each shape uses 5 circles. Select all the true statements.

• Elena’s design is a translation of Diego's design.

• Diego’s design is congruent to Elena’s design.

• The smallest circle in Diego's design is congruent to the smallest circle in Elena’s design.

In terms of congruence, (a)   shows that ​ (b)   occurred by manipulating the figures in a manner which demonstrate that (c)   are (d)   .​

• mapping

• rigid motions

• both the corresponding sides and angles

• the same measure

• dialtions

• both dilations and rigid motions

• the verticies

• the corresponding sides

• translating

• identical