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EM2 8th Grade Mod 3
| Term | Definition |
|---|---|
| Angle-Angle Criterion | If two triangles have two pairs of conguent angles, the the triangles are similar |
| Dilation | A transformation with a center, called the center of dilation, and a scale factor greater than 0 that maps a figure to its image. |
| Similar | When the relationship between two or more figures is a sequence of rigid motions or dilations, or both that maps one figure onto the other |
| Transformation | A rule that maps each point of the plane to a unique point in the plane |
| Alternate Exterior Angles | pairs of angles on the outside of two lines but on opposite sides of the transversal line that intersects them |
| Alternate Interior Angles | pairs of angles on opposite sides of a transversal line, located between the two lines it intersects, and are always congruent if the two lines are parallel |
| Congruent | two figures or objects are exactly the same in size and shape, allowing for movement like sliding, flipping, or rotating, such that they perfectly overlap |
| Corresponding Angles | pairs of angles in matching positions at each intersection where a transversal line crosses two other lines |
| Ratio | compares two quantities by division, describing how many times one quantity contains or is contained within the other |
| Reflection | a geometric transformation that flips a figure across a line to create a congruent, mirror-image copy |
| Rigid Motion | a transformation that moves a shape without changing its size or shape, preserving distances and angles |
| Rotation | a type of rigid transformation that turns a figure around a fixed point, by a specific degree and preserving distances and shape |
| Scale Drawing | a representation of an object or space in which all lengths are proportional to the actual object by a constant factor |
| Translation | a rigid geometric transformation that slides a figure or shape in a specific direction (horizontally, vertically, or diagonally) by a fixed distance, without changing its size, shape, orientation, or angle measures, resulting in a congruent "image" |
| Transversal | a line that intersects two or more other lines (often parallel) at distinct points |
| Value of the Ratio | a unitless comparison |
| Vector | a quantity with both magnitude (size/length) and direction, often represented visually as an arrow from a starting point (tail) to an ending point (head) |