Question

1. 3) 4) 3 what are the coordinates of point (2, - 3) after it is reflected over the x - axis? 1) (2,3) 2) (-2,3) 3) (-2,-3) 4) (-3,2) 4 point (-2,3) is reflected in the x - axis. in which quadrant does its image lie? 1) i 2) ii 3) iii 4) iv 5 reflecting (5,1) in the y - axis yields an image of 1) (5,-1) 2) (-5,-1) 3) (5,1) 4) (-5,1) 6 find the image of (1,5) when it is reflected over the line y = x. ans: 7 what is the image of the point (-5,2) under the translation t_{-4,-4}? 1) (-9,5) 2) (-8,6) 3) (-2,-2) 4) (-15,-8) 8 which word best describes a translation? (1) flip (2) slide (3) turn (4) reduction 9 in which transformation does the orientation of the figure change? (1) translation (2) dilation (3) rotation (4) reflection

Explanation:

3

Step1: Recall reflection rule over x - axis

When a point $(x,y)$ is reflected over the $x$-axis, the rule is $(x,y)\to(x, - y)$.
For the point $(2,-3)$, substituting $x = 2$ and $y=-3$ into the rule, we get $(2,-(-3))=(2,3)$.

Step1: Apply reflection rule over x - axis

When a point $(x,y)$ is reflected over the $x$-axis, the new - point is $(x,-y)$. For the point $(-2,3)$, its image after reflection over the $x$-axis is $(-2,-3)$.
The point $(-2,-3)$ has a negative $x$-coordinate and a negative $y$-coordinate, so it lies in the third quadrant.

Step1: Recall reflection rule over y - axis

When a point $(x,y)$ is reflected over the $y$-axis, the rule is $(x,y)\to(-x,y)$.
For the point $(5,1)$, substituting $x = 5$ and $y = 1$ into the rule, we get $(-5,1)$.

Answer:

1. $(2,3)$

4