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'.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.

Tags

CCSS.8.G.A.3

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?

Tags

CCSS.HSG.CO.A.2

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

• 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.

Tags

CCSS.8.G.A.3

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

• Construction A

• Construction B

• Construction C

• Construction D

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Tags

CCSS.8.G.A.3

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.

Tags

CCSS.8.G.A.3

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

Tags

CCSS.8.G.A.3