8.G.3 Transformations Series

Triangle WXY is graphed below. If the triangle is rotated 180° around the origin, what will be the coordinates of X'?

• (-2, -1)

• (-1, 2)

• (2, 1)

• (2, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rectangle LMNO is plotted on the graph. What are the coordinates of the vertices of rectangle L'M'N'O' after the rectangle is rotated 180 degrees about the origin, then moved up 3 units and right 4 units?

• L'(-5, 3), M'(-2, 3), N'(-2, 1), O'(-5, 1)

• L'(−1, 6), M'(2, 6), N'(3, 4), O'(-1, -2)

• L'(6,-1), M'(6, 1), N'(2, −1), O'(3, −1)

• L'(−5, −3), M'(2, −3), N'(2, −1), O'(−1, −5)

Tags

CCSS.8.G.A.3

Rectangle ABCD has vertices at A(1, 2), B(1, 5), C(4, 5), and D(4, 2). The rectangle is reflected across the y-axis and then translated 3 units up. What will be the coordinates of C'?

• (-4, 8)

• (-4, 5)

• (-1, 8)

• (-1, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which transformation describes the change from figure JKLM to figure J'K'L'M'?

• rotation of 90° clockwise about the origin and then left 2 units

• reflection across the y-axis and then down 4 units

• rotation of 180° about the origin and then up 3 units

• translation 5 units up and then reflection across the y-axis

Tags

CCSS.8.G.A.3

Parallelogram PQRS has vertices at P(2, 3), Q(5, 3), R(6, 1), and S(3, 1). After a 180° rotation about the origin, what are the coordinates of S'?

• (-3, 1)

• (3, -1)

• (-3, -1)

• (3, 1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Square WXYZ is rotated 90° counterclockwise about the origin and then translated 4 units down. What will be the coordinates of W' if W is originally at (2, 3)?

• (3, -2)

• (-3, -2)

• (2, -3)

• (-3, 2)

Tags

CCSS.8.G.A.3

Hexagon ABCDEF is reflected across the x-axis and then translated 2 units to the left. If point A is originally at (5, 6), what are the coordinates of A'?

• (3, 6)

• (7, -6)

• (7, 6)

• (3, -6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Figure PQRST is translated 3 units up and then rotated 180° about the origin. If point Q is originally at (-2, -5), what are the coordinates of Q'?

• (-2, -2)

• (2, -2)

• (-2, 2)

• (2, 2)

Tags

CCSS.8.G.A.3

What are the coordinates of the vertices of the triangle after the translation 2 units up?

• (1,2), (3, 5), (-3,0)
• (-1,2), (-3,5), (-3,0)
• (1,2),(-3,5),(-3,0)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In a floor design, a triangle shape is created as shown in the lower left quadrant. The design is transformed by reflecting the triangle over the x-axis. What does the design look like?

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Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5