In the figure below, triangle $ABC$ is congruent to triangle $PQR$. From the information above,

Question

In the figure below, triangle $ABC$ is congruent to triangle $PQR$. From the information above, form two simultaneous equations relating the values of $x$ and $y$. Solve the simultaneous equations in (a) to find the values of $x$ and $y$.

Accepted Answer

$\text{(a)}\ 2x+3y=17,\quad -2x+9y=7$ $\text{(b)}\ x=\dfrac{11}{2},\quad y=2$

Congruent Triangles: Setting Up and Solving for \(𝑥\) and \(𝑦\)

Congruent Triangles: Setting Up and Solving for \(𝑥\) and \(𝑦\)

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