Rigid Transformations Assessment

Identify the type of rigid transformation: A shape is moved to the right by 3 units and up by 5 units.

• Reflection

• Translation

• Rotation

• Dilation

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Apply a translation to the shape T(x+3, y-4) on the grid: Triangle ABC with vertices A(1, 2), B(4, 2), and C(3, 5).

• Triangle A'B'C' with vertices A'(2, -3), B'(5, -3), and C'(4, 2)

• Triangle A'B'C' with vertices A'(4, -2), B'(7, -2), and C'(6, 1)

• Triangle A'B'C' with vertices A'(3, -4), B'(6, -4), and C'(5, 1)

• Triangle A'B'C' with vertices A'(1, -6), B'(4, -6), and C'(3, -1)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Apply a 90-degree clockwise rotation to the shape on the grid: Rectangle WXYZ with vertices W(1, 1), X(4, 1), Y(4, 4), and Z(1, 4).

• Z'(4, 4), W'(1, 4), X'(1, 1), Y'(4, 1)

• Z'(1, 1), W'(4, 1), X'(4, 4), Y'(1, 4)

• Z'(1, 4), W'(1, 1), X'(4, 1), Y'(4, 4)

• Z'(4, 1), W'(4, 4), X'(1, 4), Y'(1, 1)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Apply a reflection over the x-axis to the shape on the grid: Quadrilateral PQRS with vertices P(2, 3), Q(5, 3), R(5, 6), and S(2, 6).

• P(2, -3), Q(-5, 3), R(-5, -6), S(2, -6)

• P(2, -3), Q(5, 3), R(-5, 6), S(2, 6)

• P(2, -3), Q(5, -3), R(5, -6), S(2, -6)

• P(2, 3), Q(5, -3), R(5, 6), S(2, -6)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

Describe the properties of a rigid transformation.

• Involves stretching and shrinking

• Preserves distances and angles between points

• Preserves shapes but not sizes

• Changes distances and angles between points

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Transform the shape on the grid using the following sequence: translate 2 units to the right, then reflect over the y-axis: Pentagon UVWXY with vertices U(1, 1), V(4, 1), W(5, 3), X(3, 5), and Y(2, 3).

• Pentagon U'V'W'X'Y' with vertices U'(-1, 1), V'(-4, 1), W'(-5, -3), X'(-3, -5), and Y'(-2, -3)

• Pentagon U'V'W'X'Y' with vertices U'(-1, -1), V'(-4, -1), W'(-5, -3), X'(-3, -5), and Y'(-2, -3)

• Pentagon U'V'W'X'Y' with vertices U'(-1, 1), V'(-4, 1), W'(-5, 3), X'(-3, 5), and Y'(-2, 3)

• Pentagon U'V'W'X'Y' with vertices U'(1, -1), V'(4, -1), W'(5, -3), X'(3, -5), and Y'(2, -3)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

Identify the type of rigid transformation: A shape is moved down by 4 units and left by 2 units.

• Translation

• Dilation

• Reflection

• Rotation

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Apply a translation to the shape (-5, 3) on the grid: Hexagon LMNOPQ with vertices L(1, 2), M(4, 2), N(5, 5), O(3, 7), P(0, 5), and Q(-1, 3).

• Hexagon L'M'N'O'P'Q' with vertices L'(-4, 5), M'(-1, 5), N'(0, 8), O'(-2, 10), P'(-5, 8), and Q'(-6, 6)

• Hexagon L'M'N'O'P'Q' with vertices L'(1, 2), M'(4, 2), N'(5, 5), O'(3, 7), P'(0, 5), and Q'(-1, 3)

• Hexagon L'M'N'O'P'Q' with vertices L'(1, 5), M'(4, 5), N'(5, 8), O'(3, 10), P'(0, 8), and Q'(-1, 6)

• Hexagon L'M'N'O'P'Q' with vertices L'(-5, 3), M'(-2, 3), N'(-1, 6), O'(-3, 8), P'(-6, 6), and Q'(-7, 4)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Apply a 180-degree rotation to the shape on the grid: Trapezoid EFGH with vertices E(2, 2), F(5, 2), G(6, 5), and H(1, 5).

• E'(-2, -2), F'(-5, -2), G'(-6, -5), H'(-1, -5)

• E'(2, 2), F'(5, 2), G'(6, 5), H'(1, 5)

• E'(-2, 2), F'(-5, 2), G'(-6, 5), H'(-1, 5)

• E'(2, -2), F'(5, -2), G'(6, -5), H'(1, -5)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Apply a reflection over the y-axis to the shape on the grid: Circle with center at (3, 3) and radius 2.

• (3, -3)

• (-5, 3)

• ( -3, 3)

• (3, 5)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3