Translate and Reflect a Figure

What is the algebraic representation for reflecting a figure over the x-axis?

• (x, y) --> (x, -y)

• (x, y) --> (-x, -y)

• (x, y) --> (-x, y)

• (x, y) --> (y, -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Given: A(-5,-1), L(-3, -2) and T(-3,2). First translate 6 units right and 3 units down. Then reflect the image over the y-axis. What are the coordinates for A''B''C''?

• A''(1, -4) L''(-3, -5) T''(-3, -1)

• A''(-1, -4) L''(-3, -5) T''(-3, -1)

• A''(-1, 4) L''(-3, -5) T''(-3, 1)

• A''(1, -4) L''(3, -5) T''(3, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What would the coordinates be for Q(4,1) after a translation 3 units left and 4 units down, then a reflection over the x-axis?

• (1, -3)

• (-1, -3)

• (1, 3)

• (-1, 3)

Tags

CCSS.8.G.A.3

What would be the coordinates for C'' if C(-1, -4) was rotated 180° to create C', then C' was reflected over the line y=-x?

• (1, 4)

• (4, 1)

• (-4, -1)

• (-1, -4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Quadrilateral QRST is rotated 180° about the origin, resulting in quadrilateral Q'R'S'T' as seen in the figure.
Which series of transformations would have the same result as the above transformation

• reflection across the x-axis and then a reflection across the y-axis

• translation 8 units to the left and then a reflection across the y-axis

• 90° clockwise rotation about the origin and then a reflection across the x-axis

• translation 8 units to the right and then a 90° clockwise rotation about the origin.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A(-5, -1) L(-3, -2) T(-3, 2)
Rotate triangle ALT 180° clockwise about the origin, then reflect over the line x=1.

• A'' (5, 1) L''(3, 2) T''(3, -2)

• A'' (3, 1) L''(1, 2) T''(1, -2)

• A'' (5, -1)
  L''(3, -2)
  T''(3, 2)

• A'' (-3, 1)
  L''(-1, 2)
  T''(-1,-2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right

• Translated 5 units down and 1 to the right

• Translated 8 units down and 5 units to the right

• Translated 5 units down and 4 units to the right

Tags

CCSS.HSG.CO.A.2

What sequence of transformations will get you from shape 1 to shape 3 in two steps?

• Reflection, then Translation

• Translation, then Rotation

• Reflection, then Rotation

• Rotation, then Translation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

• a reflection followed by a rotation

• a reflection followed by a translation

• a translation followed by a rotation

• a translation followed by a reflection

Tags

CCSS.8.G.A.3

Which of the following describes the sequence of transformations shown?

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

• Rotate -90 degrees around the origin and then translate down.

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

• Translate up and then rotate 90 degrees about the origin.

Tags

CCSS.8.G.A.3