Translations and Reflections Quick Check
Math 8 Trimester 2B / Transformations and Congruence
1. What is a translation?
A translation is a type of transformation that moves every point of a figure the same distance and in the same direction.
2. How can you describe a translation?
A translation can be described by its direction (horizontal or vertical) and the distance it moves each point. For example, a translation 3 units to the right and 2 units down can be described as T(3, -2).
3. How does a translation affect the coordinates of a point?
In a translation, the coordinates of a point are shifted by the same amount in the same direction. For example, if a point has coordinates (x, y) and undergoes a translation T(a, b), the new coordinates of the point will be (x + a, y + b).
4. What is a reflection?
A reflection is a type of transformation that flips a figure over a line called the line of reflection.
5. How can you describe a reflection?
A reflection can be described by specifying the line of reflection. For example, a reflection over the x-axis can be described as R(x-axis).
6. How does a reflection affect the coordinates of a point?
In a reflection, the x-coordinate of a point remains the same, while the y-coordinate is negated. For example, if a point has coordinates (x, y) and undergoes a reflection over the x-axis, the new coordinates of the point will be (x, -y).