Identifying Transformations in Everyday Shapes

A triangle is reflected over the y-axis. If the original triangle has vertices at (2, 3), (4, 5), and (3, 1), what are the coordinates of the reflected triangle?

• The coordinates of the reflected triangle are [(-2, 3), (-4, 5), (-3, 1)]

• (2, -3), (4, -5), (3, -1)

• (2, 3), (4, 5), (3, 1)

• (-2, 5), (-4, 3), (-3, 1)

A rectangle is rotated 90 degrees clockwise around the origin. If the rectangle has vertices at (1, 2), (1, 4), (3, 4), and (3, 2), what are the new coordinates of the rectangle after the rotation?

• [(2, 1), (4, 1), (4, 3), (2, 3)]

• [(1, -2), (1, -4), (3, -4), (3, -2)]

• [(2, -1), (4, -1), (4, -3), (2, -3)]

• [(1, 2), (1, 4), (3, 4), (3, 2)]

A square is translated 5 units to the right and 3 units up. If the original square has vertices at (1, 1), (1, 3), (3, 3), and (3, 1), what are the coordinates of the translated square?

• The coordinates of the translated square are (6, 4), (6, 6), (8, 6), (8, 4).

• (4, 4), (4, 6), (6, 6), (6, 4)

• (6, 1), (6, 3), (8, 3), (8, 1)

• (1, 1), (1, 3), (3, 3), (3, 1)

A pentagon is dilated by a scale factor of 2 from the origin. If one vertex of the pentagon is at (2, 3), what will be the new coordinates of that vertex after dilation?

• (2, 3)

• (6, 9)

• (1, 1)

• (4, 6)

A figure is reflected over the line y = x. If a point on the figure is at (4, 6), what are the coordinates of the point after the reflection?

• (4, 6)

• (2, 4)

• (6, 8)

• (6, 4)

A trapezoid is translated left by 4 units and down by 2 units. If the trapezoid has vertices at (5, 5), (7, 5), (6, 3), and (4, 3), what are the coordinates of the trapezoid after the translation?

• [(1, 3), (3, 3), (2, 1), (0, 1)]

• [(1, 7), (3, 7), (2, 5), (0, 5)]

• [(5, 5), (7, 5), (6, 3), (4, 3)]

• [(2, 3), (4, 3), (3, 1), (1, 1)]

A circle is dilated with a center at (0, 0) and a scale factor of 0.5. If a point on the circle is at (6, 8), what are the new coordinates of that point after dilation?

• (3, 4)

• (4, 6)

• (5, 7)

• (2, 3)

A rectangle is reflected over the line y = -x. If the rectangle has vertices at (2, 3) and (4, 3), what are the coordinates of the vertices after the reflection?

• [(-3, -2), (-4, -2), (-3, -4), (-4, -4)]

• (4, 3)

• (-2, -4)

• (2, 3)

• (-4, -2)

A triangle is rotated 180 degrees around the point (1, 1). If the triangle has vertices at (3, 4), (5, 4), and (4, 2), what are the new coordinates of the triangle after the rotation?

• [[0,0],[2,0],[1,-2]]

• [[-1,-1],[-3,-1],[-2,1]]

• [[2,3],[4,3],[3,5]]

• [[-1,-2],[-3,-2],[-2,0]]

A hexagon is translated 2 units left and 3 units down. If one vertex of the hexagon is at (4, 5), what will be the coordinates of that vertex after the translation?

• (4, 2)

• (6, 5)

• (1, 3)

• (2, 2)