3.3 Flashcard Transformations

Front

What is the line of reflection for a reflection across the line y=-x?

Back

Front

When reflecting a point across the y-axis, which coordinate changes?

Back

The x-coordinate changes.

Front

What is the algebraic rule for translating a point (x, y) to the left by 2 units and up by 9 units?

Back

The algebraic rule is (x, y) --> (x - 2, y + 9).

Front

Reflect the point (2, -4) over the y-axis. What are the new coordinates?

Back

The new coordinates after reflection are (-2, -4).

Front

What is the algebraic rule for translating trapezoid ABCD to trapezoid A'B'C'D' by moving it 5 units to the right and 8 units down?

Back

The algebraic rule is (x, y) --> (x + 5, y - 8).

Front

Define a transformation in geometry.

Back

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

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 does it mean to translate a shape in geometry?

Back

To translate a shape means to slide it in a straight line from one position to another without rotating or flipping it.

Front

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

Back

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

Front

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

Back

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