Question

question 4 5 pts what is the equation of the line of reflection that maps the point (2,5) to (2, - 5)? o x = 0 o y = x o y = 0 o x = 2 if a figure is translated by the vector <0, - 6>, how does each point of the figure move? o each point moves 6 units to the right. o each point moves 6 units up. o each point moves 6 units down. o each point moves 6 units to the left.

Explanation:

Step1: Analyze vector meaning

A vector $\langle x,y
angle$ represents a translation where $x$ is the horizontal - change and $y$ is the vertical - change. In the vector $\langle0, - 6
angle$, $x = 0$ and $y=-6$.

Step2: Determine the movement

Since $x = 0$, there is no horizontal movement. Since $y=-6$, each point moves 6 units down.

For the reflection question:
The point $(2,5)$ is mapped to $(2, - 5)$. The $x$ - coordinate remains the same and the $y$ - coordinate changes sign. The equation of the line of reflection for a transformation that changes the sign of the $y$ - coordinate of a point while keeping the $x$ - coordinate the same is $y = 0$ (the $x$ - axis).

Answer:

For the translation question: Each point moves 6 units down.
For the reflection question: $y = 0$