Question

Which triangle results from a reflection across the line x = 1?

Answer 1

Answer:

Correct answer is option D.

Step-by-step explanation:

Given that $\triangle ABC$ in the image 1 attached.

If we have a look at the image attached, the coordinates are:

$A(1,1)\\B(2,5)\ and\\C(4,1)$

To find reflection of a point across any line, the distance of points from the line must be same.

Point A(1,1) lies on the line x = 1, so its reflection A' will be at the same point A'(1,1).

Point C(2,5) is at a distance 1 from x = 1 on right side, so C' will be 1 distance on the left side of x = 1 i.e. 1 will be subtracted from its x coordinate.

i.e. C'(1 - 1, 5)

C'(0, 5)

Point B(4, 1) is at a distance 3 from x = 1 on right side, so B' will be 3 distance on the left side of x = 1 i.e. 3 will be subtracted from its x coordinate.

i.e. B'(1 - 3, 1)

B'(-2, 1)

When we plot the above point A', B' and C', we get the option D as correct.

Answer 2

Answer:

D

Step-by-step explanation:

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