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Mamont248 [21]
3 years ago
13

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

Mathematics
2 answers:
prisoha [69]3 years ago
7 0

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.

Virty [35]3 years ago
4 0
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 
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