R/M_Flashcard #2 Part 1 - Lesson 3.3 and 3.4 (Transformations)

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a center point and a scale factor.

Front

What are the coordinates of a point after a dilation with center at the origin and scale factor k?

Back

If the original coordinates of a point are (x, y), after dilation with scale factor k, the new coordinates will be (kx, ky).

Front

What happens to the coordinates of a point when it is rotated 90 degrees clockwise about the origin?

Back

The new coordinates (x, y) become (y, -x) after a 90-degree clockwise rotation.

Front

How do you translate a figure in the coordinate plane?

Back

To translate a figure, you add a specific value to the x-coordinates and y-coordinates of each point in the figure.

Front

What is the transformation rule for translating a point T(x, y) to T'(x', y')?

Back

The transformation rule is T'(x', y') = (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What are the new coordinates of point (2, 5) after a 90-degree clockwise rotation?

Back

The new coordinates are (5, -2).

Front

What does the transformation rule T(x, y) = (x + 2, y - 3) represent?

Back

This rule represents a translation of 2 units to the right and 3 units down.

Front

How do you reflect a point over the y-axis?

Back

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

Front

What are the coordinates of point P' if point P(5, -3) is reflected over the y-axis?

Back

The coordinates of P' will be (-5, -3).

Front

What is the effect of translating a figure 5 units down and 5 units to the right?

Back

Each point (x, y) of the figure will move to (x + 5, y - 5).