1. Transformational Geometry
Essential Question?
How do you describe the properties of translations and their effect on the congruence and orientation of figures?
8.G.1, 8.G.3

2. Common Core Standard:
8.G ─ Understand congruence and similarity using physical models, transparencies, or geometry software.
1. Verify experimentally the properties of rotations, reflections, and translations:
a. Lines are taken to lines, and line segments to line segments of the same length.
b. Angles are taken to angles of the same measure.
c. Parallel lines are taken to parallel lines.
3. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

3. Curriculum Vocabulary
Coordinate Plane (plano cartesiano):
A plane formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis.
Parallelogram (paralelogramo):
A quadrilateral with two pairs of parallel sides.
Quadrilateral (cuadrilátero):
A four-sided polygon.
Rhombus (rombo):
A parallelogram with all sides congruent
Trapezoid (trapecio):
A quadrilateral with exactly one pair of parallel sides.

4. Curriculum Vocabulary
Center of Rotation (centro de rotación):
The point about which a figure is rotated.
Congruent (congruente):
Having the same size and shape. The symbol for congruent is ≅.
Image (imagen):
A figure resulting from a transformation.
Line of Reflection (línea de reflexión):
A line that a figure is flipped across to create a mirror image of the original figure.
Vertex (vértice):
On an angle or polygon, the point where two sides intersect; on a polyhedron, the intersection of three or more faces; on a cone or pyramid, the top point.

5. Curriculum Vocabulary
Preimage (imagen original):
The original figure in a transformation.
Reflection (reflexión):
A transformation of a figure that flips the figure across a line.
Rotation (rotación):
A transformation in which a figure is turned around a point.
Transformation (transformación):
A change in the size or position of a figure.
Translation (translación):
A movement (slide) of a figure along a straight line.
Orientation (orientación):
In geometry, the relative physical DIRECTION of something.