8.10.A 8.10.B 8.10.C

Texas Essential Knowledge and Skills (TEKS) Transformations
Grade:	8th Grade
Standard:	8.10.A
Description:	generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane;
Standard:	8.10.B
Description:	differentiate between transformations that preserve congruence and those that do not;
Standard:	8.10.C
Description:	explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and

A translation is a transformation in which a figure's position changes.
Its size, shape, and orientation do not change.

Given a point (x, y), a translation of a units to the right affects the x-coordinate in the positive direction.
So, if the point (x, y) is translated a units to the right, the new coordinates are (x + a, y).

Similarly, if the point (x, y) is translated a units to the left, the new coordinates are (x - a, y).

Given a point (x, y), a translation of b units up affects the y-coordinate in the positive direction.
So, if the point (x, y) is translated b units up, the new coordinates are (x, y + b).

Similarly, if the point (x, y) is translated b units down, the new coordinates are (x, y - b).

Texas Essential Knowledge and Skills (TEKS)

Transformations

8.10.A

generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane;

8.10.B

differentiate between transformations that preserve congruence and those that do not;

8.10.C

explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and