WGU: MEE3 - D127 Unit Two: Transformations, Congruence, Similarity, and the Coordinate Plane questions and answers

Ordered Pairs

Also known as coordinates, two numbers written in the form of (x, y)

Quadrants

The coordinate plane is divided into 4 quadrants and are defined by (x) and (y) axis. An ordered pair also tells you the location of its quadrant

Polygons on the Coordinate Plane

On a coordinate plane, each plotted point creates a vertex of the polygon. The number of points is equal to the number of sides of the figure

Transformation

Changes to the orientation of a shape

Image

In translations on the coordinate plane, this is the figure that results from the transformation

Orientation

The position of a shape

Prime

A (') mark used to indicate images are the same even after transformations

Translations

Think of it as an image sliding up or down, left or right.

Reflections

Think of the image as flipped. Every point is the same distance from the line of reflection. Has a different orientation from the original

Line of Reflection

A line directly in the middle of two reflected images. All reflected points in the images are the same distance from this line as one another

Rotations

A transformation in which a source is rotated (turned) around a fixed point called the center of rotation

Dilations

A transformation that produces an image that is the same shape as the original image but is a different size

Distance Formula

A formula for calculating the distance between two coordinates

Ratio

Measures one quantity in relation to another quantity

Proportion

A true statement in which two ratios are equal to each other

Scale Factor

The ration of sides of two similar geometric figures

Formula: New Length over Old Length

Congruent

Figures with the same size and shape

Similar

Two figures are similar if they have the same shape but not necessarily the same size

Congruence Postulates

- SSS

- SAS

- AAS

- ASA

Similarity Postulates

- AA

- SSS

- SAS

Symmetry

Is when a shape is the same on either side of a central line or when a shape can be turned to form an identical shape

Rotational Symmetry

A point around which the shape can rotate less than one full turn (360*) and still look the same

Order

In rotational symmetry, this is the number of times a shape can be rotated within one full turn and still look the same

Reflective Symmetry

A shape which has the property that, if it is reflected about a line, the two sides will be identical. Exists when a shape can be reflected across a line (line of symmetry)