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Mathematics 7 Online
Bearclaws72:

Graph a triangle (ABC) and reflect it over the x-axis to create triangle A'B'C'. Describe the transformation using words. Make sure you refer to the characteristics and the coordinates. 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? 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?

Bearclaws72:

I wasnt sure how to approach this one Voca V.V

Vocaloid:

it doesn't have any given coordinates so you just have to draw any generic triangle ABC. to make it easy I will draw one in the first quadrant |dw:1512695276781:dw|

Vocaloid:

|dw:1512695289756:dw|

Vocaloid:

now, when we reflect across x we keep the x-coordinates the same and multiply the y-coordinates by -1 to get A'B'C'

Vocaloid:

|dw:1512695346628:dw|

Vocaloid:

now it is asking us to draw two segments: A to the "reflecting line" which is the x-axis, and A' to the reflecting line

Vocaloid:

|dw:1512695433110:dw| sorry if that's hard to see

Bearclaws72:

Im following along I promise

Vocaloid:

|dw:1512695449295:dw|

Bearclaws72:

Or at least trying to XD

Vocaloid:

|dw:1512695466012:dw|

Vocaloid:

" if you drew the line segment connecting B with the reflecting line and then B' with the reflecting line" these two line segments would also be equal (as for why... uh.. I would say something like "mirror images are defined as having their corresponding points equidistant from a line of reflection?" ;;

Bearclaws72:

Seems weird

Vocaloid:

idk I'm trying to think of a way to describe it because it's already intuitive to me ;;

Bearclaws72:

Alright thanks voca Ill put that. Better than anything I could come up with tbh XD should have you on standby for my DBA XD

Vocaloid:

as for "Describe the transformation using words. Make sure you refer to the characteristics and the coordinates. " I would just talk about things like: whether the two mirror images are congruent/similar or not, what happens to the coordinates, etc.

Bearclaws72:

Ok

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