Reflejos y Traslaciones

What is the rule for reflecting a point over the x-axis?

• Change both the x-coordinate and y-coordinate

• Keep the y-coordinate the same and change the sign of the x-coordinate

• Reflecting over the x-axis is not possible

• Keep the x-coordinate the same and change the sign of the y-coordinate.

What is the rule for reflecting a point over the y-axis?

• Keep the x-coordinate the same and change the sign of the y-coordinate.

• Change both the x and y coordinates

• Reflecting over the x-axis

• Keep the y-coordinate the same and change the sign of the x-coordinate

State the rule for reflecting a point over the line y = x.

• Multiply the x and y coordinates of the point.

• Swap the x and y coordinates of the point.

• Add the x and y coordinates of the point.

• Divide the x and y coordinates of the point.

Explain the rule for reflecting a point over the line y = -x.

• Reflecting a point (x, y) over the line y = -x results in the point (-x, y).

• Reflecting a point (x, y) over the line y = -x results in the point (x, -y).

• Reflecting a point (x, y) over the line y = -x results in the point (y, x).

• Reflecting a point (x, y) over the line y = -x results in the point (-y, -x).

How do you translate a point (x, y) by a vector (a, b)?

• (x-b, y-a)

• (x+a, y+b)

• (x, y) + (a, b)

• (x-a, y-b)

What happens to the x-coordinate when translating a point by a vector (a, b)?

• The x-coordinate shifts by the value of 'b'.

• The x-coordinate remains unchanged.

• The x-coordinate shifts by the value of 'a + b'.

• The x-coordinate shifts by the value of 'a'.

What happens to the y-coordinate when translating a point by a vector (a, b)?

• The y-coordinate changes by a + b.

• The y-coordinate remains the same.

• The y-coordinate changes by b.

• The y-coordinate changes by a.

Describe how to perform a translation of a shape on the coordinate plane.

• Reflect the shape over the x-axis

• Rotate the shape by changing the angles of the vertices

• Translate the shape by adding or subtracting the same value to all x-coordinates and y-coordinates of the vertices.

• Change the shape by altering the length of the sides

If a point is translated by a vector (3, -2), what are the new coordinates if the original point was (5, 7)?

• (4, 3)

• (8, 5)

• (6, 9)

• (2, 5)

If a point is reflected over the x-axis and then translated by a vector (-1, 4), what are the final coordinates if the original point was (2, -3)?

• (4, 8)

• (1, 7)

• (0, 1)

• (3, 6)