Algebraic Representations of Transformations

Triangle ABC is dilated about the origin to form A’B’C’.  If point A is located at ( 10, 12) and point A’ is located at  ( 2, 2.4)  then what scale factor was used to create this dilation?

• .2
• 5
• .5
• 2

Tags

CCSS.8.G.A.3

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)
• (-10, 2)
• (-4, -5)
• (-1, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rectangle ABCD is dilated about the origin. Point C is at (9,12) and point C' is at (3,4). Find the scale factor of the dilation.

• 5

• 1/3

• 3

• 1/2

A(1,3) is the point of a triangle. What would the coordinate be after a 90° counterclockwise rotation ?

• A'(-3,1)

• A'(-1,3)

• A'(3,-1)

• A'(1,-3)

The triangle above undergoes a translation of (x+4, y-3), what are the new coordinates?

• (1,-1), (6,-1), (6,3)

• (-6,3), (-1,3), (-1,7)

• (1,-4), (6,-4), (6,0)

• (-3,-4), (2,-4), (2,0)

Triangle ABC has the coordinates A(0,0), B(3,0), C(0,-3), what are the coordinates after a 180 rotation?

• A'(0,0), B'(-3,0), C'(0,3)

• A'(0,0), B'(-3,0), C'(0,-3)

• A'(0,0), B'(0,-3), C'(-3,0)

• A'(-0,-0), B'(-0,-3), C'(-0,3)

What are the coordinates of the triangle above after a reflection across the x-axis?

• A'(-2,-1), B'(1,-2), C'(-2,-4)

• A'(-2,-1), B'(-1,-2), C'(-2,-4)

• A'(-1,2), B'(2,1) C'(2,4)

• A'(1,-2), B'(-2,-1), C'(-2,-4)

What're the coordinates of point A(2,-3) after a reflection across the x-axis and y-axis?

• x-axis: (2,3) y-axis:(2,3)

• x-axis: (-2,-3) y-axis:(2,3)

• x-axis: (2,3) y-axis:(-2,3)

• x-axis: (2,3) y-axis:(-2,-3)

A triangle went through a dilation going from A(4,6) to A'(14,21), what was the scale factor used?

• 3.75

• 3.5

• 3

• 3 2/2

What was the translation on the figure?

• (x,y) --> (x+6, y-3)

• (x,y) --> (x-6, y-3)

• (x,y) --> (x-3, y+6)

• (x,y) --> (x-6, y+3)