Translate Then Reflect

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)

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.

If RQ is rotated 180 degrees about the origin and then translated 1 unit down and 1 unit to the right, what are the endpoints of the resulting image?

• R' (1, -1) Q' (-1, 2)

• R' (2, -2) Q' (0, 1)

• R' (0, 0) Q' (2, -3)

• R' (0, -2) Q' (-3, 1)

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)

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)

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

• Translate Trapezoid 1 to the right 6 units, then translate the resulting down 2 units.

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

• Translate Trapezoid 1 to the right 6 units, then reflect the resulting figure across the x-axis.

• Translate Trapezoid 1 down 2 units, then reflect the resulting figure across the y-axis.

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

• Translate Trapezoid 1 down 2 units, then reflect the resulting figure across the y-axis.

• Translate Trapezoid 1 to the right 2 units, then translate the resulting down 2 units.

• Translate Trapezoid 1 to the right 2 units, then reflect the resulting figure across the x-axis.

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

Determine the image of C after it's first translated by the rule

(x, y) → (x − 3, y + 3)

and is then reflected over the y-axis.

• C"(-2, 2)

• C"(2, 2)

• C"(4, -4)

• C"(-4, 4)

Determine the image of C after it's first translated by the rule

(x, y) → (x − 2, y + 5)

and is then reflected over the y-axis.

• C"(-1, 4)

• C"(1, 4)

• C"(6, -3)

• C"(-3, 6)