Lesson 05: Coordinate Moves | Unit 1: Rigid Transformations and Congruence

Multiple Choice

What are the coordinates of $$A$$ , $$B$$ , and $$C$$ after a translation to the right by 4 units and up 1 unit?

• A: (-2, 5)
• C: (3, 0)
• A: (-3, 6), B: (6, 2), C: (4, -1)
• B: (5, 3)

Draw

Points A, B and C on a coordinate plane, origin O. Horizontal axis scale negative 10 to 8 by 1’s. Vertical axis scale negative 4 to 6 by 1’s. The coordinates of the points are A(negative 6 comma 5), B(3 comma 2) and C(negative 1 comma 0). Plot these points on the grid, and label them $$A’$$ , $$B’$$ and $$C’$$ .

Multiple Choice

What are the coordinates of $$D$$ , $$E$$ , and $$F$$ after a reflection over the $$y$$ axis?

• D'(3, -3), E'(-5, 0), F'(-2, 2)
• D'(-3, 3), E'(5, 0), F'(2, -2)
• D'(3, 3), E'(-5, 5), F'(-2, -1)
• D'(3, 3), E'(-5, 0), F'(-2, -2)

Draw

Points D, E and F on a coordinate plane, origin O. Horizontal axis scale negative 5 to 5 by 1’s. Vertical axis scale negative 2 to 3 by 1’s. The coordinates of the points are D(negative 3 comma 3), E(5 comma 0) and F(2 comma negative 2). Plot these points on the grid, and label them $$D’$$ , $$E’$$ and $$F’$$ .

Multiple Choice

What are the coordinates of $$G$$ , $$H$$ , and $$I$$ after a rotation about $$(0,0)$$ by $$90^\circ$$ clockwise?

• G(3, 0), H(0, 4), I(-2, -3)
• G(0, 3), H(-4, 0), I(-3, 2)
• G(2, 3), H(4, 0), I(3, -2)
• G(3, 4), H(0, -4), I(-2, 3)

Draw

Points G, H and I on a coordinate plane, origin O. Horizontal axis scale negative 5 to 5 by 1’s. Vertical axis scale negative 3 to 5 by 1’s. The coordinates of the points are G(negative 1 comma 3), H(negative 4 comma 0) and I(3 comma negative 2). Plot these points on the grid, and label them $$G’$$ , $$H’$$ and $$I’$$ .

Multiple Choice

Which sequence of transformations takes quadrilateral $$ABCD$$ to $$A’B’C’D’$$ as shown in the graph?

• Rotate 180 degrees, then translate 2 units up and 3 units left.
• Translate 3 units left and 2 units down, then rotate 90 degrees clockwise.
• Translate 5 units right and 1 unit up, then reflect across the x-axis.
• Reflect across the y-axis, then translate 4 units right and 1 unit down.

Multiple Choice

Which sequence of transformations takes quadrilateral $$ABCD$$ to $$A’B’C’D’$$ as shown in the graph?

• Translate 3 units left and 2 units down, then rotate 90 degrees clockwise.
• Reflect across the x-axis, then translate 4 units left and 1 unit down.
• Rotate 180 degrees, then translate 2 units right and 3 units up.
• Translate 5 units right and 1 unit up, then reflect across y = x.