Question

Triangle ABC has been reflected over a vertical line of reflection. The coordinates of vertices A, B, C and B' are shown. What are the coordinates of vertex C'?
(2 points)

The coordinates of vertex C' are ( , )
11,-1,6,9,5,10

Answer 1

To find the coordinates of vertex C' after the reflection of triangle ABC over a vertical line, we first need to determine the coordinates of C (if not given directly) and understand the line of reflection.

Since we don't have the original point C's coordinates specified in your provided information (just the reflection's coordinates of another vertex B'), we'll assume you need a general method:

1. Identify the vertical line of reflection. For instance, if the line of reflection is at x = k, then the reflection of a point (x, y) across this line is determined by the formula:
\[
C' = (2k - x, y)
\]

2. Let's assume the line of reflection is at x = 5 based on your provided values as potential coordinates.
3. If the original C coordinates were, for instance, (x, y) = (11, -1) (as one of your values), the reflection of C would be calculated as:
\[
C' = (2 * 5 - 11, -1) = (10 - 11, -1) = (-1, -1)
\]

Now let's review the vertices you've given:

Considering the provided options 11, -1, 6, 9, 5, and 10, if we have coordinates for B' = (x, y) after reflection, we'd need to find the vertical line of reflection first.

But since you didn't provide the line of reflection, it's hard to give exact coordinates for C'.

Assuming that you have the original coordinates or context of triangle ABC provided along with the location of B' after reflection, I can give you the reflection of point C based on the general rules outlined here.

**Please provide the coordinates of C or the line of reflection and I could help you arrive at the exact point C'.**