Question

given: rectangle ejhg,
overline{ji} cong overline{fg}
prove: overline{ei} cong overline{hf}

1. overline{ji} cong overline{fg}
2. \triangle jei cong \triangle ghf
3. click here to insert
4. given
5. side - angle - side
6. click here to insert

Explanation:

Step1: Recall the property of congruent triangles

If two triangles are congruent, then their corresponding sides are congruent.

Step2: Identify the corresponding sides

Since \(\triangle JEI\cong\triangle GHF\) (by Side - Angle - Side), and \(\overline{EI}\) and \(\overline{HF}\) are corresponding sides of these congruent triangles.

Answer:

\(\overline{EI}\cong\overline{HF}\) (Corresponding parts of congruent triangles are congruent)