Exploring Geometric Transformations

A geometric transformation is a process of coloring geometric shapes.

A geometric transformation is a function that modifies the position, size, shape, or orientation of a geometric figure.

A geometric transformation is a type of geometric figure.

A geometric transformation is a method for measuring angles.

Reflect the point across the origin without applying rules.

Add a random value to the original coordinates.

Apply the transformation rules to the original point's coordinates.

Use the distance formula to calculate the image.

Translation is a reflection of a shape across a line.

Translation is a rotation of a shape around a fixed point.

Translation is a geometric transformation that moves a shape or object a constant distance in a specified direction.

Translation refers to resizing a shape to a different scale.

A reflection rotates a shape around a point, while a rotation creates a mirror image.

A reflection moves a shape in a straight line, while a rotation flips it over.

A reflection creates a mirror image, while a rotation turns a shape around a point.

A reflection changes the size of a shape, while a rotation keeps the size the same.

A dilation only affects the angles of a geometric figure.

A dilation flips a geometric figure over a line.

A dilation changes the size of a geometric figure while preserving its shape.

A dilation rotates a geometric figure without changing its size.

Symmetry refers to the color patterns of a shape.

Symmetry in geometric transformations is the property of a shape remaining unchanged under transformations like reflection, rotation, or translation.

Symmetry is the process of changing the size of a shape.

Symmetry only applies to shapes with equal sides.

(y, -x)

(x, -y)

(-x, -y)

(-y, x)

Reflect the triangle over a line.

Scale the triangle by a factor.

To translate a triangle, add the translation vector to each vertex's coordinates.

Rotate the triangle around a vertex.

Two figures are congruent if they can be overlapped without any gaps or overlaps.

Two figures are congruent if they have the same area but different shapes.

Two figures are congruent if one can be transformed into the other using translations, rotations, or reflections.

Two figures are congruent if they have the same color.

[[0, -1], [-1, 0]]

[[0, 1], [1, 0]]

[[1, 0], [0, 1]]

[[1, 0], [0, -1]]