Question

A figure has a vertex at (-1, -3). If the figure has line symmetry about the y-axis, what are the coordinates of another vertex of the figure?
A) (-3, -1)

B) (3, 1)

C) (1, -3)

D) (-1, 3)

Answer 1

Answer:

(1,-3)

Step-by-step explanation:

A figure has a vertex at (-1, -3). If the figure has line symmetry about the y-axis, find the coordinates

When a vertex is reflected over y axis then the value of y remains the same , the x value becomes -x

for (x,y) reflected over line symmetry y axis

(x,y) becomes (-x,y)

So the vertex (-1,-3) becomes (1,-3)

Answer 2

Its (1,-3) simply reflect it above the y-axis, if one vertex is on the negative side and the symmetry if about the y axis (y=0) therefore the reflection means the x value becomes inverse -1 changes to 1 and -3 remains the same