Explore Rigid Transformations and Triangle Properties

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure remains congruent after the transformation.

Front

What are the three types of rigid transformations?

Back

The three types of rigid transformations are translations, rotations, and reflections.

Front

Define translation in geometry.

Back

Translation is a rigid transformation that moves every point of a figure the same distance in the same direction.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, even if their positions or orientations differ.

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a rigid transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

How do you determine the angle of rotation for a triangle?

Back

The angle of rotation can be determined by measuring the angle between the original position of a point and its new position after rotation.

Front

What is the effect of reflecting a triangle over the x-axis?

Back

Reflecting a triangle over the x-axis flips the triangle vertically, changing the sign of the y-coordinates of its vertices.

Front

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

Back

Reflecting a triangle over the y-axis flips the triangle horizontally, changing the sign of the x-coordinates of its vertices.

Front

What is the relationship between the angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.