Answer: Refer to the diagram below
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Step-by-step explanation:
Let's focus on one point, say the point (3,3).
How far is this point from the vertical line x = -1? That would be 4 units. You can count the spaces or subtract with absolute value.
So to go from (3,3) to the mirror line, we move 4 spaces to the left. Then we'll move another 4 spaces to the left to arrive at the image point (-5,3). The x coordinate shifted over 8 spots but the y coordinate stays the same.
The point (3,6) moves in the exact same way, and the exact same set of distances. It will land on (-5,6).
The point (5,3) needs to move 6 spaces to the left to land on the mirror line. Then another 6 spaces to the left to get to (-7,3).
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To summarize:
- The point (3,3) moves to (-5,3)
- The point (3,6) moves to (-5,6)
- The point (5,3) moves to (-7,3)
Each time the y coordinate stays the same for any given point being moved. This makes the two triangles on the same horizontal level together.
Once again, refer to the diagram below for a visual summary. I used GeoGebra to make the drawing. It's a free online tool which I recommend for geometry students.