Question

The vertices of a triangle are J (-3, -5), K (-2, 2), and L (1, -4). Draw the figure and its reflection in:
(a) the x-axis and
(b) the y-axis.

Answer 1

Step 1: Criteria for reflection about x-axis: (x, y)→ (x, -y)

we know, Reflection in x-axis : (x, y)→ (x, -y)
Reflection in y-axis : (x, y) → (-x, y)

Using this we have:
The given vertices of a triangle are J (-3, -5), K (-2, 2), and
L (1, -4).
Reflection about the x-axis:
J (-3, -5) = J'(-3,5)
K(-2, 2) = K'(-2,-2)
L(1, -4) = L'(1,4)

Step 2: Criteria for reflection about y-axis : (x, y) → (-x, y)

Using this we have:
The given vertices of a triangle are J (-3, -5), K (-2, 2), and
L (1, -4).
Hence, Reflection about the y-axis: J(-3, -5) = J'(3,-5) , K(-2, 2) = K'(2,2) , L(1, -4) = L'(-1,-4)