Reflections and Translations

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 is a translation in geometry?

Back

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

Front

How do you reflect a point across the x-axis?

Back

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

Front

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

Back

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

Front

What is the result of translating a point (2, 3) 4 units to the right and 2 units up?

Back

The new point will be (6, 5).

Front

If point T(1, 2) is translated 3 units to the left and 1 unit down, what is T'?

Back

T' will be (-2, 1).

Front

What is the rule for translating a point (x, y) by (a, b)?

Back

The new point will be (x + a, y + b).

Front

What happens to the coordinates of a point when it is reflected across the line y = x?

Back

The coordinates of the point (x, y) become (y, x).

Front

If a triangle has vertices A(1, 2), B(3, 4), and C(5, 6), what are the new coordinates after reflecting across the y-axis?

Back

A'(-1, 2), B'(-3, 4), C'(-5, 6).

Front

What is the effect of translating a figure 0 units horizontally and 0 units vertically?

Back

The figure remains unchanged.