Question

1. a square with a vertex at (-3,2) is translated 5 units left and 2 units down. the new coordinates are: mark only one oval. (2,4) (-8,0) (-3,0) (-1,4) 35. translation moves a figure: * mark only one oval. over a line of symmetry to a different location without rotating or flipping it around a fixed point by changing its size 36. a point (3,4) is reflected over the x - axis. what are the coordinates of the reflected point? mark only one oval. (3,-4) (-3,4) (-3,-4) (4,3)

Explanation:

Step1: Calculate new x - coordinate for translation in 34

For a left - ward translation of 5 units, subtract 5 from the original x - coordinate. Given the original x - coordinate $x=-3$, the new x - coordinate is $x_{new}=-3 - 5=-8$.

Step2: Calculate new y - coordinate for translation in 34

For a downward translation of 2 units, subtract 2 from the original y - coordinate. Given the original y - coordinate $y = 2$, the new y - coordinate is $y_{new}=2-2 = 0$. So the new coordinates are $(-8,0)$.

Step3: Recall the definition of translation in 35

Translation is a transformation that moves a figure to a different location without rotating or flipping it.

Step4: Recall the rule of reflection over x - axis in 36

When a point $(x,y)$ is reflected over the x - axis, the x - coordinate remains the same and the y - coordinate changes its sign. Given the point $(3,4)$, after reflection over the x - axis, the new point is $(3,-4)$.

Answer:

1. B. (-8,0)
2. B. To a different location without rotating or flipping it
3. A. (3,-4)