Transformations and Symmetry: Geometry Quiz for Grade 8

A triangle has vertices at A(2, 3), B(4, 5), and C(6, 3). If the triangle is reflected over the y-axis, what are the coordinates of the image triangle A'B'C'?

• A'(-2, -3), B'(-4, -5), C'(-6, -3)

• A'(-2, 3), B'(-4, 5), C'(-6, 3)

• A'(-2, 3), B'(-4, 5), C'(-6, 5)

• A'(-2, 5), B'(-4, 3), C'(-6, 5)

A rectangle has corners at (1, 1), (1, 4), (5, 1), and (5, 4). If the rectangle is translated 3 units to the right and 2 units up, what are the coordinates of the new corners?

• [(4, 3), (4, 6), (8, 3), (8, 6)]

• [(3, 3), (3, 6), (7, 3), (7, 6)]

• [(4, 3), (4, 5), (8, 3), (8, 5)]

• [(1, 1), (1, 4), (5, 1), (5, 4)]

A square is rotated 90 degrees clockwise around the origin. If one vertex of the square is at (2, 2), what are the coordinates of this vertex after the rotation?

• (0, 2)

• (2, 2)

• (2, -2)

• (-2, 2)

A point P(3, -2) is dilated from the origin by a scale factor of 2. What are the coordinates of the image point P'?

• (6, -4)

• (4, -3)

• (6, 2)

• (3, -4)

A pentagon has vertices at (0, 0), (2, 0), (3, 2), (1, 3), and (0, 2). If the pentagon is reflected over the line y = x, what are the coordinates of the reflected pentagon?

• [(0, 0), (0, 2), (2, 3), (3, 1), (2, 0)]

• [(2, 0), (3, 2), (1, 1), (0, 3), (0, 2)]

• [(1, 0), (2, 2), (3, 3), (0, 1), (0, 0)]

• [(0, 0), (2, 3), (3, 1), (1, 2), (0, 1)]

A triangle with vertices at (1, 1), (1, 4), and (4, 1) is rotated 180 degrees around the point (1, 1). What are the coordinates of the new vertices?

• (1, 1), (4, 4), (1, 4)

• (1, 1), (4, 1), (1, 2)

• (1, 1), (2, 1), (1, 3)

• [(1, 1), (1, -2), (-2, 1)]

A shape is translated 5 units left and 3 units down. If the original coordinates of a point are (6, 4), what are the coordinates of the image point after the translation?

• (6, 1)

• (1, 1)

• (11, 7)

• (1, 4)

A circle with center at (2, 3) and radius 4 is reflected over the line y = 3. What are the coordinates of the center of the reflected circle?

• (2, 7)

• (2, 3)

• (2, 1)

• (6, 3)

A rectangle is symmetric about the line y = 2. If one vertex is at (3, 1), what are the coordinates of the vertex that is symmetric to it?

• (3, 0)

• (4, 1)

• (3, 3)

• (3, 4)

A quadrilateral has vertices at (0, 0), (2, 0), (2, 2), and (0, 2). If it is rotated 270 degrees counterclockwise about the origin, what are the coordinates of the new vertices?

• (0, 0), (2, 0), (2, 2), (0, 2)

• (0, 0), (2, 2), (0, -2), (2, -2)

• (0, 0), (0, 2), (2, 2), (2, 0)

• [(0, 0), (0, -2), (2, -2), (2, 0)]