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Geometry 25 Online
OpenStudy (anonymous):

Help! Triangle ABC has vertices at A(1, 2), B(4,6), and C(4,2) in the coordinate plane. The triangle will be reflected over the x-axis and then rotated 180o about the origin to form Triangle A’B’C’. What are the vertices of Triangle A’B’C’?

zepdrix (zepdrix):

Hey :) Let's apply these changes to A and see what happens.

OpenStudy (anonymous):

k

zepdrix (zepdrix):

Reflection across the x-axis, so your y-coordinate will switch from positive to negative, A(1,2) ---> (1,-2)

OpenStudy (anonymous):

this it A’(1, -2), B’(4, -6), C’(4, -2)?

zepdrix (zepdrix):

Rotating 180 degrees, I guess when we apply this, it will change the signs of both coordinates, (1,-2) ---> A'(-1,2)

OpenStudy (anonymous):

k

zepdrix (zepdrix):

So that takes care of A ---> A' Do you think you can try B? :) Reflection = negative y, rotation 180 = negative both

OpenStudy (anonymous):

B’(4, -6)

zepdrix (zepdrix):

Hmm that doesn't sound right :d you only applied the first transformation. They want you to apply both transformations.

OpenStudy (anonymous):

B’(-4, 6) lol this?

zepdrix (zepdrix):

B(4,6) ---> (4,-6) ---> B'(-4,6) Good! :)

OpenStudy (anonymous):

A’(-1, 2), B’(-4, 6), C’(-4, 2)

zepdrix (zepdrix):

yay good job!

OpenStudy (anonymous):

one more question plz

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