Translate Reflect And Rotate

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.

Which of the following describes the sequence of transformations shown?

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

• Rotate 90 degrees cw 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 ccw about the origin.

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)

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)

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.

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC≅ΔDEF

• Reflect △ABC across the x-axis, then translate it right 1

• Reflect △ABC across the y-axis, then translate it right 1

• Reflect △ABC across the x-axis, then translate it left 1

• Reflect △ABC across the y-axis, then translate it left 1

Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent

• Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.

• Translate Trapezoid 1 to the right 4 units, then reflect the resulting figure across the x-axis.

• Translate Trapezoid 1 to the right 4 units, then translate the resulting figure down 4 units.

• Translate Trapezoid 1 down 4 units, then reflect the resulting figure across the x-axis.

Plot A(4,1) B(5,4) C(1,2). Reflect it over the x-axis, then translate it 3 units left. What are the coordinates of A'B'C'?

• A' (-1, -1) B' (-2, -4) C' (2, -2)

• A' (4, -4) B' (5, -7) C' (1, -5)

• A' (-7, 1) B' (-8, 4) C' (-4, 2)

• A' (1, -1) B' (2, -4) C' (-2, -2)

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

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)