The police department now needs you to take the original triangle and reflect it. For this step, you will need to identify and label three points on the coordinate plane that are a reflection of the original triangle. Next, use the coordinates of your reflection to show that the two triangles are congruent by the ASA postulate. You can use the distance formula to show congruency for the sides. To show an angle is congruent to a corresponding angle, you can use slope or your compass and straightedge. You must show all work with the distance formula for the corresponding sides and angles.

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anonymous · Answer

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anonymous · Answer

Someone please help me!!!

anonymous · Answer

It doesn't say about which point or line to reflect across so here's a graph of a reflection around line x=10. Does that work for you?

So this should give us a start.

anonymous · Answer

actually i already reflected it, i just don't know how to show it's congruent by asa??

anonymous · Answer

@marshallinwashington

anonymous · Answer

Sorry about that. I had a bit of a problem. Anyhow, I'll try to get back on track.

anonymous · Answer

Do you know how to show that they're congruent by ASA? i'm really confused.

anonymous · Answer

@marshallinwashington are you there ?

anonymous · Answer

The easiest way to prove the angle are congruent would be to use a compass. Place the pointy end on point W and make an arc across the two rays that form angle W. Label the two points where the arc crosses the two rays. Keeping the same compass setting, make an arc across the two rays that form angle W'. Label the two points where the arc crosses the two rays. On triangle WCG, set your compass so that the pointy end is on one the two points where the arc crosses and the other end on the other point where the arc crosses. Keeping the compass setting, go to the other triangle W'C'G' and place the pointy end on the one the two points where the arc crosses and the other end on the other point where the arc crosses. It should be the same distance and therefor the same angle. Do the same for the other angle. You should now have ASA congruency. See using constructs http://www.mathsisfun.com/geometry/construct-anglesame.html I'll try to see if I can figure out a way using the slope.

anonymous · Answer

To use the slope, it looks like you would have to use trigonometry. $$\tan \theta=\frac{ rise }{ run }$$

anonymous · Answer

THANK YOU SO MUCH!

anonymous · Answer

Here's another video for you. http://www.mathopenref.com/consttriangleasa.html