Transformations Translations Reflections Rotations

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

How would you translate point P to P'?

• Translate 2 units to the right and  8 units down

• Translate 3 units down and 2 units to the right

• Translate 4 units down and 4 units to the left

• Translate 8 units to the right and 2 units down

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

What is the algebraic representation for the transformation shown?

• (x, y) ---> (x - 8, y + 3)

• (x, y) ---> (x - 4, y + 9)

• (x, y) ---> (x + 8, y - 3)

• (x, y) ---> (x + 4, y - 9)

Tags

CCSS.HSG.CO.A.2

Reflect (6, -3) over the x-axis. What are the new coordinates of that point after the reflection?

• (6, 3)

• (-6, -3)

• (-3, 6)

• (3, -6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect the point (2, -4) over the y-axis. What are the new coordinates of that point after the reflection?

• (-4, 2)

• (-2, 4)

• (-2, -4)

• (2, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Where will A' be located if triangle ABC is reflected using the rule (x, y) --> (-x, y) ?

• (2,1)

• (1,-2)

• (-1,2)

• (-1, -2)

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

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

• (3, 5)

• (-3, -5)

• (-5, 3)

• (5, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A triangle with points A(2, 3), B(2, -1), and C(4, 2) is rotated 90° clockwise. What algebraic rule describes this transformation?

• ( x, y ) → ( y, -x )

• ( x, y ) → ( -x, -y )

• ( x, y) → ( x, y )

• ( x, y ) → ( -y, x )

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5