Transformations: Translate or Reflect

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a geometric figure in some way to produce a new figure.

Front

What does it mean to reflect a point over the y-axis?

Back

Reflecting a point over the y-axis means to create a mirror image of the point across the y-axis, changing the sign of the x-coordinate.

Front

If point C is (3, 2), what is its reflection over the y-axis?

Back

(-3, 2)

Front

What is the result of reflecting the point (4, -5) over the y-axis?

Back

(-4, -5)

Front

What is the definition of congruent figures?

Back

Congruent figures are figures that have the same size and shape.

Front

What happens to the x-coordinate of a point when it is reflected over the y-axis?

Back

The x-coordinate changes its sign.

Front

What is the algebraic representation of translating a figure 2 units right and 3 units up?

Back

(x+2, y+3)

Front

If a point is translated 5 units left, what happens to its x-coordinate?

Back

The x-coordinate decreases by 5.

Front

What is the effect of translating a point (x, y) 3 units down?

Back

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

Front

What does it mean to translate a figure in geometry?

Back

To translate a figure means to slide it in a straight line from one position to another without changing its size, shape, or orientation.