Practice problem
Consider △QRS\triangle QRS△QRS and △XYZ.\triangle XYZ.△XYZ. Given the following information, can you determine whether m∠Q>m∠X?m\angle Q > m\angle X?m∠Q>m∠X? QR‾=20XY‾=13QS‾=13XZ‾=20RS‾=11YZ‾=10\begin{align} \overline{QR} = 20\\ \overline{XY} = 13\\ \overline{QS} = 13\\ \overline{XZ} = 20\\ \overline{RS} = 11\\ \overline{YZ} = 10\\ \end{align}QR=20XY=13QS=13XZ=20RS=11YZ=10
Yes, m∠Q>m∠Xm\angle Q > m\angle Xm∠Q>m∠X by the SSS Inequality Theorem.
No, m∠Q<m∠Xm\angle Q < m\angle Xm∠Q<m∠X by the SSS Triangle Inequality Theorem.
m∠Q=m∠Xm\angle Q = m\angle Xm∠Q=m∠X by the SSS Triangle Inequality Theorem.
Not enough information given
Type a concept, like “slope” or “photosynthesis”.
