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Reflections of a Point in the Midpoints of a Triangle's Sides

​
∠A
≈
70.86°
∠B
≈
29.78°
∠C
≈
79.36°
∠A'
≈
70.86°
∠B'
≈
29.78°
∠C'
≈
79.36°
AB
≈
13.15
AC
≈
6.65
BC
≈
12.64
A'B'
≈
13.15
A'C'
≈
6.65
B'C'
≈
12.64
Let ABC be a triangle and P be an arbitrary point. Let A', B', and C' be symmetric to P with respect to the midpoints BC, CA, and AB, respectively. Then A'B'C' is congruent to ABC and their corresponding sides are parallel.
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