Sequence of Transformations

What is the sequence of transformations for the image given? 

• Reflect over the x-axis (x, -y), then translate left 6 (x-6, y)

• Reflect over the x-axis (x, -y), then translate right 6 (x+6, y)

• Reflect over the y-axis (-x, y), then translate right 4 and down 6 (x+4, y-6)

• Translate down 6 and to the right 6 (x+6, y-6)

A family moves a table from one part of a room to another part. The graph shows where the table began and to where it is moved. The coordinates of the table before the​ move, EFGH, are ​E(6​,4​), ​F(8​,4​), G(8​,8​), and ​H(6​,8​). The coordinates of the table after the​ move, MNOP, are M(0​,0​), ​N(0​,2​), O(−4​,2​), and ​P(−4​,0​). Describe the sequence of rigid motions. Let each unit represent 1 ft. Which of the following is the description of how the table changes​ places?

• A rotation 90º counter-clockwise about the origin, then translated 6 ft to the left and 4 ft down.

• A rotation 90º clockwise about the origin, then translated 4ft to the left and 6 ft up.

• A rotation 90º clockwise about the origin, then translated 6 ft to the right and 4 ft up.

• A rotation 90º counter-clockwise about the origin, then translated 4 ft to the right and 6 ft down.

Which figure is the image of Figure T after a reflection across the​ x-axis and a translation 3 units​ right?

• Figure U

• Figure V

• Figure X

• Figure W

What combined transformations took the red to the green?

• A translation followed by a reflection.

• A rotation followed by a translation.

• A reflection followed by a translation.

• A reflection followed by a rotation.

Map ΔQRS to ΔQ′R′S′ with a reflection across the​ y-axis followed by a translation of

6 units down.

• 
• 
• 
• 

Which figure can be transformed into Figure Z after a rotation 90° counter-clockwise about the​ origin, and then a translation 9 units right and 3 units down.

• Figure X

• Figure U

• Figure W

• Figure Y

Which sequence of transformations will map trapezoid A to its image A'?

• Reflection, then a translation

• Rotation, then a translation

• Reflection, then a rotation

• Rotation, then a dilation

Which sequence of transformations occurred to pentagon QRSTU to form its image Q"R"S"T"U"?

• Translation, then a reflection over the y-axis.

• Reflection over the x-axis, then a translation.

• Rotation, then a reflection over the y-axis.

• Reflection over the y-axis, then a translation.

Which sequence of transformations maps the red parallelogram to the green parallelogram?

• A translation, then a reflection.

• A rotation, then a translation.

• A reflection, then a translation.

• A reflection, then a rotation.

Which sequence of transformations could map triangle ABC to triangle A"B"C"?

• A dilation, then a rotation.

• A translation, then a reflection.

• A rotation, then a translation.

• A reflection, then a rotation.