Geometric Transformations: Point notation

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

• (x, y) --> (x - 9, y + 3)
• (x, y) --> (x + 9, y - 3)
• (x, y) --> (x + 3, y - 9)
• (x, y) --> (9x, 3y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The dashed figure is the image of the solid figure.  What is the Algebraic Notation for the Translation?

• (x, y) --> (x - 7, y + 4)
• (x, y) --> (x + 7, y - 4)
• (x, y) --> (x + 4, y - 7)
• (x, y) --> (7x, 4y)

Tags

CCSS.HSG.CO.A.2

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the arrow notation rule for rotation 90° clockwise about the origin?

• (x, y) --> (y, -x)

• (x, y) --> (-x, -y)

• (x, y) --> (-y, x)

• (x, y) --> (y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the arrow notation rule for rotation 180° counter clockwise about the origin?

• (x, y) --> (y, -x)

• (x, y) --> (-x, -y)

• (x, y) --> (-y, x)

• (x, y) --> (y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the arrow notation rule for rotation 270° clockwise about the origin?

• (x, y) --> (y, -x)

• (x, y) --> (-x, -y)

• (x, y) --> (-y, x)

• (x, y) --> (y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If P is translated such that P(-3, 4) → P’(4, 0), what is the point notation for the translation?

• (x, y) → (x + 7, y – 4)

• (x, y) →(x – 7, y + 4)

• (x, y) →(x – 4, y + 7)

• (x, y) →(x + 4, y + 7)

If quadrilateral TUVW is reflected across the line y=x to become quadrilateral T’U’V’W’, what will be the coordinates of U’?

• U (3, 4) →U’(3, -4)

• U (3, 4) →U’(-3, 4)

• U (3, 4) →U’(4, 3)

• U (3, 4) →U’(-4, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which is the correct coordinate notation if every point is translated 2 units left and 9 units up.

• (x, y) → (x – 2, y + 9)

• (x, y) → (x + 9, y + 2)

• (x, y) → (x + 2, y – 9)

• (x, y) → (x + 9, y – 2)

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