Translations and Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

What is a reflection in geometry?

Back

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

Front

What are the coordinates of a point after reflecting it across the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same. For point (x, y), the reflected point is (-x, y).

Front

What are the coordinates of a point after reflecting it across the line y = x?

Back

The x and y coordinates are swapped. For point (x, y), the reflected point is (y, x).

Front

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

Back

The rule is (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

How do you find the coordinates of a point after reflecting it across the line y = -x?

Back

The coordinates are swapped and negated. For point (x, y), the reflected point is (-y, -x).

Front

If point A(2, 3) is reflected across the y-axis, what are the new coordinates?

Back

The new coordinates are A'(-2, 3).

Front

If triangle ABC is reflected across the line y = x, what happens to the coordinates of point B(4, 5)?

Back

The new coordinates of point B will be B'(5, 4).

Front

What is the effect of translating a shape 3 units to the right and 2 units down?

Back

The new coordinates of any point (x, y) will be (x + 3, y - 2).

Front

What is the reflection of the point (6, -3) over the line y = x?

Back

The reflection is (-3, 6).