Reflection and Translation

A hexagon is reflected over the y-axis and then translated 6 units to the right. If the original vertices of the hexagon were (2, 3), (4, 5), (6, 7), (8, 9), (10, 11), and (12, 13), what are the new coordinates of the vertices?

• (4, 3), (6, 5), (8, 7), (10, 9), (12, 11), (14, 13)

• (10, 3), (12, 5), (14, 7), (16, 9), (18, 11), (20, 13)

• (8, 3), (10, 5), (12, 7), (14, 9), (16, 11), (18, 13)

• (2, 9), (4, 11), (6, 13), (8, 15), (10, 17), (12, 19)

1. Perform a reflection over the x-axis followed by a translation 3 units to the right. What are the coordinates of the point (2, 4) after these transformations?

• (5, -4)

• (1, -1)

• (5, 4)

• (2, 7)

A triangle is reflected over the y-axis and then translated 5 units down. What are the new coordinates of the vertices if the original triangle had vertices at (1, 3), (4, 6), and (2, 2)?

• (1, 2), (4, 6), and (2, 2)

• (1, -3), (-4, -6), and (-2, -2)

• (1, -2), (4, 6), and (2, -2)

• (1, -2), (-4, -6), and (-2, -2)

3. Describe the single transformation that is equivalent to performing a reflection over the line y = -2 followed by a translation 4 units to the left.

• Rotation around the origin

• Reflection over the line y = 2

• Translation 2 units to the right

• Reflection over the line y = 4

If the triangle was reflected across the x-axis and then translated vertically 3 and horizontally -7, what would be the ordered pair for R'?

• (4, -7)

• (-3, -4)

• (-3, -10)

• (-11, 10)

What is the rule?

• reflect across y=2

• reflect across x=2

• translate <2,0>

• translate<0,2>

• (7,8)

• (7,4)

• (-1,-5)

• (-1, 3)

• (-1,7)

Determine how to translate triangle ABC to triangle A'B'C'.

​ (a)   , ​ (b)  

• left 2

• up 9

• right 2

• down 9

Triangle ABC is reflected across the y-axis, followed by a translation 6 units down.

• True

• False

A point is first translated 2 units to the right and then reflected over the y-axis. If the original coordinates of the point were (5, 7), what are the new coordinates?

• (-5, 7)

• (5, -7)

• (7, -7)

• (-7, 7)