Graph a triangle (ABC) and reflect it over the x-axis to create triangle A'B'C'.
Part 1: Describe the transformation using words. Make sure you refer to the characteristics and the coordinates. (3 points)
Part 2: Draw a line segment from point A to the reflecting line, and then draw a line segment from point A' to the reflecting line. What do you notice about the two line segments you drew? (2 points)
Part 3: Do you think you would see the same characteristic if you drew the line segment connecting B with the reflecting line and then B' with the reflecting line? How do you know?

Question

Graph a triangle (ABC) and reflect it over the x-axis to create triangle A'B'C'. 
Part 1: Describe the transformation using words. Make sure you refer to the characteristics and the coordinates. (3 points) 
Part 2: Draw a line segment from point A to the reflecting line, and then draw a line segment from point A' to the reflecting line. What do you notice about the two line segments you drew? (2 points) 
Part 3: Do you think you would see the same characteristic if you drew the line segment connecting B with the reflecting line and then B' with the reflecting line? How do you know?

anonymous · Answer

@jdoe0001 @poopsiedoodle

anonymous · Answer

@kirbykirby @aum

aum · Answer

|dw:1415314909444:dw|

aum · Answer

When reflected over the x-axis, the x-coordinates of points A, B and C will remain the same.  Only the y-coordinates will change and the change will be only in the sign of the y-coordinate.  The magnitude of the y-coordinate will remain the same.

aum · Answer

|dw:1415315226344:dw|

anonymous · Answer

what is the square int the middle tho?

aum · Answer

Part 2:  The line segment AD is equal in length to the line segment A'D.

(The square in the middle just says AD is perpendicular to the x-axis and A'D is perpendicular to the x-axis.  You don't have to draw them.  It is just to illustrate the point that the line segment is drawn so it is perpendicular to the x-axis.)

anonymous · Answer

ohh ok i see, and how about part three? im alittle confused with that one

aum · Answer

Part 2:  The line segments AD and A'D form one straight line.  Also, 
the line segment AD is equal in length to the line segment A'D.

aum · Answer

Part 3: Yes, if line segments are drawn from points B and B' to the x-axis, they will form one straight line and the line segment BE will equal in length to the line segment B'E where E is the point where the line segment meets the x-axis.
"How do you know?"
A point with coordinates (a,b) when reflected about the x-axis becomes (a, -b).  Therefore, the magnitude of the y-coordinate, |b| is the same for both points.  Also, since the x-coordinate is the same for both points, a line segment drawn to the x-axis will meet at the same point and the two line segments will form one straight line.

anonymous · Answer

ok thanks i will now put this into my own words :)