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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3

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)

Tags

CCSS.8.G.A.3

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.HSG.CO.A.2

What is the rule?

• reflect across y=2

• reflect across x=2

• translate <2,0>

• translate<0,2>

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

• (7,8)

• (7,4)

• (-1,-5)

• (-1, 3)

• (-1,7)

Tags

CCSS.HSG.CO.A.2

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

​ (a)   , ​ (b)  

• left 2

• up 9

• right 2

• down 9

Tags

CCSS.HSG.CO.A.2

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

• True

• False

Tags

CCSS.8.G.A.3

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5