4-1 Congruence and Congruence Transformations

Front

What is the result of reflecting the point (6, -3) over the x-axis?

Back

(6, 3)

Front

What happens to the coordinates (x, y) when you rotate them 90 degrees clockwise?

Back

(y, -x)

Front

What is the transformation rule for a 180° rotation of the point (x, y)?

Back

(-x, -y)

Front

What is the image of the point (-2, 5) when reflected over the line x = 1?

Back

(4, 5)

Front

What is the algebraic rule for translating a point 5 units to the right?

Back

(x, y) → (x + 5, y)

Front

Define congruence in geometry.

Back

Congruence means that two figures have the same shape and size.

Front

What is a congruence transformation?

Back

A transformation that preserves the size and shape of a figure, such as translation, rotation, or reflection.

Front

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

Back

The x-coordinate changes sign; (x, y) becomes (-x, y).

Front

How do you perform a translation of a point (x, y) by (a, b)?

Back

Add a to the x-coordinate and b to the y-coordinate: (x, y) → (x + a, y + b).

Front

What is the result of rotating the point (3, 4) 90 degrees counterclockwise?

Back

(-4, 3)