PROVING FIGURES ARE CONGRUENT USING RIGID MOTIONS

Front

What is a rigid motion?

Back

A transformation that preserves distance and angle measures, including translations, rotations, and reflections.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same size and shape.

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is a translation in geometry?

Back

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

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point at a certain angle.

Front

How do you determine if two figures are congruent?

Back

Check if one figure can be obtained from the other through a series of rigid motions.

Front

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

Back

The result is (x, -y).

Front

What is the result of translating a point (x, y) 3 units left and 2 units up?

Back

The result is (x-3, y+2).

Front

What is the effect of rotating a point (x, y) 90 degrees clockwise around the origin?

Back

The result is (y, -x).

Front

What is the significance of the line of reflection?

Back

It is the line over which a figure is reflected, acting as a mirror.