Translations and Reflections Quick Check

Question

Math 8 Trimester 2B / Transformations and Congruence

Answer 1

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).