Translations

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 specified direction.

Front

What are the coordinates of a point after a translation of (x,y) → (x+3, y-2) for point A(2, 5)?

Back

The new coordinates are (5, 3).

Front

What does the rule (x, y) → (x - 2, y + 3) represent?

Back

This rule represents a translation of 2 units left and 3 units up.

Front

If point M(-3, 5) is translated using the rule (x, y) → (x - 1, y), what are the new coordinates?

Back

The new coordinates are (-4, 5).

Front

What is the effect of reflecting a point across the x-axis?

Back

Reflecting a point across the x-axis changes the sign of the y-coordinate.

Front

How do you translate a triangle 2 units down?

Back

You subtract 2 from the y-coordinates of each vertex of the triangle.

Front

What is the result of translating point P(1, 2) using the rule (x, y) → (x + 4, y - 1)?

Back

The new coordinates of point P will be (5, 1).

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips it over a line.

Front

If triangle A'B'C' is translated to triangle ABC using the rule (x, y) → (x + 2, y - 5), what happens to the coordinates?

Back

Each vertex of triangle A'B'C' is moved 2 units to the right and 5 units down.

Front

What is the transformation rule for a reflection across the y-axis?

Back

The transformation rule is (x, y) → (-x, y).