Sequence of Transformations to Justify the Congruence of Figures

Which sequence of transformations will definitely work for triangle ABC to map to XYZ to justify their congruence?

• Translation of triangle ABC by directed line segment CZ. Reflection of triangle A'B'C' over line ZY, then rotate A"B"C" until point A is on point X.

• Translation of triangle ABC by directed line segment AX, then translate by directed line segment BY, then by directed line segment CZ.

• Translation of triangle ABC by directed line segment AX. Then reflect triangle A'B'C' by the angle bisector of angle ZXC'.

What transformations will map triangle TUV onto triangle VST?

• Translate along directed line segment TV.

• Reflection over the line TV.

• Rotation of 180 degrees clockwise about the midpoint of TV.

• Translate along directed line segment TV then rotate 180 degrees about point V.

• Rotation of 180 degrees counterclockwise about the midpoint of TV.

A. Write the coordinates of the image.

B. Describe the transformation precisely.

C. Does the transformation result in a figure that is congruent to the original, similar to the original, both or neither?

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Describe a sequence of transformations that take isosceles trapezoid T to its image T'.

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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

• Reflection across the x-axis, translation down 4 and right 1.

• Rotation 180° about the origin, translation down 1 and right 2.

• Rotation 180° about the origin, translation down 2 and right 2.

• Reflection across the x-axis, down 6 and right 3.

Select the construction that guarentees A' is a reflection of point A across line BC.

• Construction A

• Construction B

• Construction C

• Construction D

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate 90º clockwise around the origin

• Rotate 90º degrees around the origin and then translate right.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90º counter clockwise about the origin.

Describe a sequence of transformations that maps figure A onto figure B.

• translation 4 units right followed by a reflection across the x-axis

• reflection across the x-axis followed by a reflection across the y-axis

• reflection across the y-axis followed by a translation 6 units down

• 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis