ENGAGE #17: Translations & Reflections

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) 3 units to the left and 9 units down?

Back

The new coordinates will be (x - 3, y - 9).

Front

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

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

Front

Write the rule for translating a point (x, y) 2 units to the right and 3 units up.

Back

(x, y) --> (x + 2, y + 3).

Front

What is the result of reflecting the point (a, b) over the x-axis?

Back

The new coordinates will be (a, -b).

Front

If a triangle is reflected over the x-axis, how do the coordinates of its vertices change?

Back

The y-coordinates of the vertices change sign.

Front

What is the rule for reflecting a point (x, y) over the line y = x?

Back

The new coordinates will be (y, x).

Front

How do you find the image of a point after a translation?

Back

Add the translation values to the original coordinates.

Front

What is the effect of reflecting a point over the y-axis?

Back

The x-coordinate of the point is negated.

Front

If point C is at (2, 3), where will it be after reflecting over the line y = x?

Back

Point C will be at (3, 2).