Question

Point P is reflected across two lines. Point E is its reflection image. Which two lines is point P reflected across?

Answer 1

Answer:

The point P reflected across the lines x=3 and y=2.

Step-by-step explanation:

From the given graph it is clear that the coordinates of P are (0,0) and the coordinates of E are (6,4).

$P(0,0)\rightarrow E(6,4)$                 .... (1)

If the origin reflected across the line x=a then

$(0,0)\rightarrow (2a,0)$

If the origin reflected across the line y=b, then

$(0,0)\rightarrow (0,2b)$

If the origin reflected across the line x=a and y=b, then

$(0,0)\rightarrow (2a,2b)$                .... (2)

From (1) and (2) we get

$2a=6\Rightarrow a=3$

$2b=4\Rightarrow b=2$

The value of a is 3 and the value of b is 2. Therefore the point P reflected across the lines x=3 and y=2.

Answer 2

Line DJ: x=3. The reflection of point P across Line DJ is the point (6,0)
Line y=2. The reflection of point (6,0) acroos line y=2 is the point E=(6,4)

Answer: The point P is reflected across lines x=3 and y=2