Transformations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you translate a point (x, y) 2 units left and 9 units up?

Back

The new coordinates will be (x-2, y+9).

Front

What is the result of translating point X(1, 4) 3 units to the left and 9 units down?

Back

The new coordinates will be (-2, -5).

Front

Define dilation in the context of transformations.

Back

Dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What is the formula for dilating a point (x, y) by a scale factor k?

Back

The new coordinates will be (kx, ky).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

How do you identify the line of reflection for a figure?

Back

The line of reflection is the perpendicular bisector of the segment connecting corresponding points of the original and reflected figures.

Front

What is the transformation from triangle ABC to triangle A'B'C' if the coordinates change by (x+8, y+4)?

Back

This represents a translation of the triangle 8 units to the right and 4 units up.

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips it over a line.

Front

How do you perform a reflection over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates will be (x, -y).