12/16/24_B_Flashcard #2 Part 1 - Lesson 3.3 and 3.4 (Transformations)

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

What are the new coordinates of a point (x, y) after reflecting over the y-axis?

Back

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

Front

What happens to the coordinates of a point when it is rotated 180 degrees around the origin?

Back

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

Front

What is the result of a dilation transformation?

Back

A dilation transformation changes the size of a figure but not its shape, resulting in a figure that is similar but not congruent.

Front

What are the new coordinates of a point (x, y) after a 90-degree clockwise rotation around the origin?

Back

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

Front

What is a translation in geometry?

Back

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

Front

How do you determine the new coordinates of a point after a translation?

Back

Add the translation values to the original coordinates: (x + a, y + b), where a and b are the translation distances.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures have the same size and shape, while similar figures have the same shape but may differ in size.

Front

What is the effect of a reflection over the x-axis on the coordinates of a point (x, y)?

Back

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

Front

What is the result of rotating a figure 90 degrees counterclockwise around the origin?

Back

The new coordinates of a point (x, y) will be (-y, x).