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What is the reflection of the point (-3, 2) in the line x = -2?
  • a)
    (-3 , -6)
  • b)
    (1 , 2)
  • c)
    (-3 , 6)
  • d)
    (-1 , 2)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
What is the reflection of the point (-3, 2) in the line x = -2?a)(-3 ,...
Reflection of a point in a line is the image of the point obtained by folding the line about the point.

Given point: (-3, 2)
Line of reflection: x = -2

To find the reflection of the point (-3, 2) in the line x = -2, we can follow these steps:

Step 1: Draw the line x = -2 and the given point (-3, 2).

Step 2: Draw a perpendicular line from the given point to the line of reflection. This perpendicular line will intersect the line of reflection at a point. Let's call this point P.

Step 3: Draw a line passing through the given point and point P. This line will intersect the line of reflection at a point. Let's call this point Q.

Step 4: The point Q is the reflection of the given point (-3, 2) in the line x = -2.

Using the above steps, we can find the reflection of the given point as follows:

- Draw the line x = -2 and the given point (-3, 2).
- Draw a perpendicular line from the given point to the line of reflection. This perpendicular line will intersect the line of reflection at (-2, 2).
- Draw a line passing through the given point (-3, 2) and point P (-2, 2). This line will intersect the line of reflection x = -2 at a point Q (-1, 2).
- Hence, the reflection of the point (-3, 2) in the line x = -2 is (-1, 2).

Therefore, the correct answer is option 'D' (-1, 2).
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Community Answer
What is the reflection of the point (-3, 2) in the line x = -2?a)(-3 ,...
As you can see there is a gap of just 1 point of -3,2 to the line x= -2... so considering the line as mirror, image will be formed at a gap of 1 point to the right of line at same height(y point).. which becomes -1,2
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What is the reflection of the point (-3, 2) in the line x = -2?a)(-3 , -6)b)(1 , 2)c)(-3 , 6)d)(-1 , 2)Correct answer is option 'D'. Can you explain this answer?
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