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Given hypotenuse and leg

Given: Two Side Lengths, One Angle is 90o opposite the larger side. Feel free to move the BIG WHITE POINTS anywhere you'd like! Be sure to do this each time after resetting and before re-sliding the sliders!

What geometry transformations did you observe in the applet above? List them.

What common trait do all these transformations have?

So.... If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then those 2 triangles are congruent? Fully explain why or why not.