Geometric Transformations Review

If P is translated such that P(-3, 4) → P’(4, 0), what is the coordinate 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)

Tags

CCSS.HSG.CO.A.2

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

If V (-3, 7) is rotated 270°, what are the coordinates of B’?

• V’(-7, 3)

• V’(7, -3)

• V’(3, -7)

• V’(7, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following sets of points would be three of the vertices of the pentagon below reflected across the y-axis?

• (5, -6), (4, -1), (3, -5)

• (-5, 6), (-4, 1), (-3, 5)

• (6,5), (1, 4), (5, 3)

• (-5, -6), (-4, -1), (-3, -5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If figure WXYZ is rotated 270°counterclockwise around the origin, which figure would it produce?

• ABCD

• EFGH

• JKLM

• WXYZ

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

ΔMHS has coordinates, M(-1, 6), H(-4, 4), and S(1, 3). The triangle is translated (x,y)→(x + 6, y – 1) and then reflected about the y-axis. What are the coordinates of M’?

• M'(5, 5)

• M'(-5, -5)

• M'(-5, 5)

• M'(5, -5)

Tags

CCSS.8.G.A.3

Determine the image of Polygon ABCD after a dilation of ½ with center at (0, 0), then reflect across the x-axis

• A"(2.5, 1) B"(3.5, -0.5) C"(1.5, -2) D"(-1, -1.5)

• A"(2.5, -1) B"(3.5, 0.5) C"(1.5, 2) D"(-1, 1.5)

• A"(1, 2.5) B"(-0.5, 3.5) C"(-2, 1.5) D"(-1.5, -1)

• A"(5, 2) B"(7, -1) C"(3, -4) D"(-2, -3)

Tags

CCSS.8.G.A.3

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation
• 90^o counter clockwise rotation
• Reflection across the y-axis
• Reflection across the x-axis

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?

• (-5, 5)
• (-3, -5)
• (-5, 3)
• (-3, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)

Tags

CCSS.8.G.A.3