9/24 Graphing Transformations Review

Front

What is a reflection in graphing transformations?

Back

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

Front

What is a translation in graphing transformations?

Back

A translation is a transformation that slides a figure from one position to another without changing its shape, size, or orientation.

Front

What is a rotation in graphing transformations?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is a dilation in graphing transformations?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape the same, either enlarging or reducing it.

Front

How do you translate a point (x, y) to the left by 3 units?

Back

The new coordinates will be (x-3, y).

Front

How do you translate a point (x, y) up by 4 units?

Back

The new coordinates will be (x, y+4).

Front

What does T(x + 2, y - 3) represent?

Back

It represents a translation of a figure 2 units to the right and 3 units down.

Front

If triangle ABC is reflected over the x-axis, what happens to its coordinates?

Back

The y-coordinates of the triangle's vertices change sign, while the x-coordinates remain the same.

Front

What is the effect of rotating a figure 90 degrees clockwise around the origin?

Back

The coordinates (x, y) become (y, -x).

Front

How do you determine the translation vector from triangle ABC to triangle A'B'C'?

Back

Subtract the coordinates of A from A', B from B', and C from C' to find the translation vector.