# Tagged Questions

For questions about geometric shapes, congruences, similarities, transformations, as well as the properties of classes of figures, points, lines, angles.

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### Let ABCD be a cyclic quadrilateral…

Let ABCD be a cyclic quadrilateral. Let r and s be the lines obtained by reflecting AB through the angle bisectors of $\angle CAD$ and $\angle CBD$, respectively. Let P be the intersection of r and s ...
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### Let $T_1$ and $T_2$ be two circumferences…

Let $T_1$ and $T_2$ be two circumferences with centers $O_1$ and $O_2$ respectively, such that $T_1$ passes through $O_2$. Let $C$ be a point on $T_1$. Let $r_1$ and $r_2$ be the lines tangent to $T_2$...
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### Unable to distinguish between intercepted arc and angle of triangle

$\triangle{PQR}$ is inscribed in circle C such that the measure of $\angle{PRQ}$'s intercepted arc is $70^o$ and m$\angle{PQR} = 50^o$. Find the measure of $\angle{QPR}$'s intercepted arc. When I ...
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### Calculate lesser value that can take the side c=? [on hold]

EDIT: Consider a right triangle , it is satisfied that: $ab + bc + ac = 100$ Determine the smallest value that the side $c$ can take (without brute force)
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