Translations, Reflections & Rotations

Reflect the point (2, -4) over the y-axis.

• (-4, 2)
• (-2, 4)
• (-2, -4)
• (2, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect (6, -3) over the line x-axis.

• (6, 3)
• (-6, -3)
• (-3, 6)
• (3, -6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which algebraic rule will produce a translation that is 5 units to the right?

• (x, y)  --> (  x ,  y + 5)
• (x, y)  --> ( x-5 , y + 5)
• (x, y)  --> ( x-2 , y + 5)
• (x, y)  --> ( x+5 , y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Tags

CCSS.HSG.CO.A.2

Determine how to translate triangle ABC to triangle A'B'C' using the algebraic rule.

• (x, y) --> (x + 2, y - 5)

• (x, y) --> (x + 2, y - 9)

• (x, y) --> (x - 2, y - 9)

• (x, y) --> (x - 2, y + 9)

Tags

CCSS.HSG.CO.A.2

Trapezoid ABCD is translated to trapezoid A'B'C'D'. What algebraic rule describes this transformation?

• (x, y) --> (x + 5, y + 8)

• (x, y) --> (x + 5, y - 8)

• (x, y) --> (x - 8, y + 5)

• (x, y) --> (x - 8, y - 5)

Tags

CCSS.HSG.CO.A.2

Write the rule for this translation:

Slide 5 up and 7 right

• (x, y)---->(x + 5, y + 7)

• (x, y)-----> (x + 7, y + 5)

• (x, y)----> (x - 7, y - 5)

• (x, y)----> (7x, 5y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which answer shows a reflection across the x-axis?

• d
• c
• b
• a

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the x-axis, what will Q' be?

• Q'(4, 2)
• Q'(-4, 2)
• Q'(-4, -2)
• Q'(4, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.

• (-7,-8)
• (8,-7)
• (-8,7)
• (8,7)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5