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Using the following figure select the parts of a triangle that are congruent to their corresponding parts given in the first column. Use the fact that Delta LQJcong Delta XYA square square square square square square square square square square square square square square square square square

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Using the following figure select the parts of a triangle that are congruent to their corresponding parts given in the first column. Use the fact that
Delta LQJcong Delta XYA
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Using the following figure select the parts of a triangle that are congruent to their corresponding parts given in the first column. Use the fact that Delta LQJcong Delta XYA square square square square square square square square square square square square square square square square square

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RhysElite · Tutor for 8 years

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Given that \(\triangle LQJ \cong \triangle XYA\), we can use the fact that corresponding parts of congruent triangles are congruent (CPCTC) to fill in the table. Let's go through each row and determine the corresponding congruent part.Step 1: Identify the corresponding angles and sides in the congruent triangles.- \(\angle J\) in \(\triangle LQJ\) corresponds to \(\angle A\) in \(\triangle XYA\).- \(\overline{LJ}\) in \(\triangle LQJ\) corresponds to \(\overline{YA}\) in \(\triangle XYA\).- \(\overline{QJ}\) in \(\triangle LQJ\) corresponds to \(\overline{XA}\) in \(\triangle XYA\).- \(\angle L\) in \(\triangle LQJ\) corresponds to \(\angle Y\) in \(\triangle XYA\).Step 2: Fill in the table with the corresponding congruent parts.- For \(\angle J\), the congruent angle is \(\angle A\).- For \(\overline{LJ}\), the congruent side is \(\overline{YA}\).- For \(\overline{QJ}\), the congruent side is \(\overline{XA}\).- For \(\angle L\), the congruent angle is \(\angle Y\).Step 3: Write down the completed table with the congruent parts filled in.\begin{array}{|c|c|c|c|c|c|c|}\hline\ Parts\ of\ triangle\ &\ \angle\ X\ &\ \angle\ A\ &\ \angle\ Y\ &\ \overline{X\ Y}\ &\ \overline{X\ A}\ &\ \overline{Y\ A}\ \\\hline\angle\ J\ &\ &\ X\ &\ &\ &\ &\ \\\hline\overline{L\ J}\ &\ &\ &\ &\ &\ &\ X\ \\\hline\overline{Q\ J}\ &\ &\ &\ &\ &\ X\ &\ \\\hline\angle\ L\ &\ &\ &\ X\ &\ &\ &\ \\\hline\end{array}Answer:- \(\angle J\) is congruent to \(\angle A\).- \(\overline{LJ}\) is congruent to \(\overline{YA}\).- \(\overline{QJ}\) is congruent to \(\overline{XA}\).- \(\angle L\) is congruent to \(\angle Y\).
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