Grade 11 Mathematics Transformation Flashcards

This set of vocabulary flashcards covers key concepts of geometric transformations in the plane based on a Grade 11 mathematics worksheet.

Rigid Transformation

A transformation of the plane that preserves distance, such as translation, reflection, and rotation.

Stretching

A type of transformation that is not considered a rigid transformation of the plane.

Translation

A transformation that occurs when every point of a figure is moved from one location to another location along the same direction through the same distance.

Rotation

A transformation where a figure is turned around a fixed center point through a specific angle, such as $270^{\circ}$ clockwise or $90^{\circ}$.

Reflection

A one-to-one correspondence transformation where points are flipped across a line of reflection, such as the y-axis, the line $y = x$, or the line $x + y = 0$.

Image

The resulting figure, point, or equation after a transformation (such as translation $T$ or reflection $M$) has been applied to the original.

Fixed Circle under Rotation

Every circle with its center at the center of rotation is considered fixed.

Identity Transformation

A transformation that leaves every point of a figure in its original location.

Translation Vector

A vector denoted as $u = (h, k)$ used to transform an equation or point by shifting coordinates by specific constants.

Axis of Reflection

The specific line over which a figure is reflected, such as $y = 2x - 12$ or $y = 3x + 12$.

Center of Rotation

The fixed point about which a plane or figure is turned, such as the origin $(0, 0)$ or a specific point like $(1, -2)$.

Vector Equation of a Line

A way to represent a line using a starting point and a direction vector, for example: $(x, y) = (-2, 1) + t(1, 1)$ where $t \in R$.