The document discusses line reflection geometry. It shows a line with equation y=x and uses it to reflect points across this line. It reflects the points (4,1) and (2,1), showing that the image of (4,1) is (1,4) and the image of (2,1) is (1,2). Finally, it asks the reader to determine the coordinates of the image of a purple triangle under the same line reflection.

1. Mathematics
Transformation Geometry
Line of Reflection y=x

2. 4
3
2
1
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
-1
-2
-3
-4

3. 4
3
2
1
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
-1
-2
-3
-4

4. 4
This line
3 represents line
reflection y=x
2
1
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
-1
-2
-3
-4

5. 4
Point
3 highlighted is
( 4,1)
2
1
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
-1
-2
-3
-4

6. 4
The image of
3 the point
( 4,1) is (1,4)
under the line
2 of reflection
y= x
1
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
-1
-2
-3
-4

7. 4
The image of
the point
3 ( 2,1) is ( )
under the line
2 of reflection
y=x
1
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
-1
-2
-3
-4

8. 4
The image of
the point
3 ( 2,1) is ( 1,2 )
under the line
2 of reflection
y=x
1
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
-1
-2
-3
-4

9. 4
The image of
the point
3 ( 2,1) is ( 1,2 )
under the line
2 of reflection
y=x
1
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
-1
-2
-3
-4

10. 4 Lets see if you
catch the
3 pattern , state
the coordinates
for the image of
2 the purple
triangle
1
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
-1
-2
-3
-4

11. YOU have
Just completed a simple lesson on
Transformation Geometry