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)

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)

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)

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

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)

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)

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)

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)

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.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

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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