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题目

解题步骤

1. Understand the question

   the triangles below are congruent and their corresponding parts are marked.
   name all the corresponding congruent angles and sides.
   then, complete the triangle congruence statement.
   (a) $angle a \\cong \\angle \\square$
   $angle b \\cong \\angle \\square$
   $angle c \\cong \\angle \\square$
   (b) $overline{ab} \\cong \\overline{\\square}$
   $overline{ac} \\cong \\overline{\\square}$
   $overline{bc} \\cong \\overline{\\square}$
   (c) $\triangle cba \\cong \\triangle \\square$

2. Explanation

   Step1: 匹配对应角

   根据标记的全等对应关系，$\angle A$对应$\angle Z$，$\angle B$对应$\angle X$，$\angle C$对应$\angle Y$，即：
   $\angle A \cong \angle Z$，$\angle B \cong \angle X$，$\angle C \cong \angle Y$

   Step2: 匹配对应边

   根据标记的全等对应关系，$\overline{AB}$对应$\overline{ZX}$，$\overline{AC}$对应$\overline{ZY}$，$\overline{BC}$对应$\overline{XY}$，即：
   $\overline{AB} \cong \overline{ZX}$，$\overline{AC} \cong \overline{ZY}$，$\overline{BC} \cong \overline{XY}$

   Step3: 写出全等三角形

   结合对应顶点的匹配，$\triangle CBA$的对应全等三角形为$\triangle YXZ$，即：
   $\triangle CBA \cong \triangle YXZ$

3. Final answer

   (a) $\angle A \cong \angle Z$，$\angle B \cong \angle X$，$\angle C \cong \angle Y$
   (b) $\overline{AB} \cong \overline{ZX}$，$\overline{AC} \cong \overline{ZY}$，$\overline{BC} \cong \overline{XY}$
   (c) $\triangle CBA \cong \triangle YXZ$

答案

Question Analysis

OCR Text

the triangles below are congruent and their corresponding parts are marked.
name all the corresponding congruent angles and sides.
then, complete the triangle congruence statement.
(a) $angle a \\cong \\angle \\square$
$angle b \\cong \\angle \\square$
$angle c \\cong \\angle \\square$
(b) $overline{ab} \\cong \\overline{\\square}$
$overline{ac} \\cong \\overline{\\square}$
$overline{bc} \\cong \\overline{\\square}$
(c) $\triangle cba \\cong \\triangle \\square$

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