Sovi AI

Sovi AI

Asistente de preguntas por foto

the triangles below are congruent and their corresponding parts are mar…

(a) $\angle A \cong \angle Y$,$\angle B \cong \angle Z$,$\angle C \cong \angle X$ (b) $\overline{AB} \cong \overline{YZ}$,$\overline{AC} \cong \overline{XY}$,$\overline{BC} \cong …

Categoría: geometry Actualizado: 2026-02-09

Pregunta

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) $\triangle abc \\cong \\triangle \\square$

Pasos de solución

  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) $\triangle abc \\cong \\triangle \\square$

  2. Explanation

    Step1: 匹配对应角

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

    Step2: 匹配对应边

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

    Step3: 写出全等三角形

    根据对应顶点的对应关系,得到:
    $\triangle ABC \cong \triangle YZX$

  3. Final answer

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

Respuesta

Explanation

Step1: 匹配对应角

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

Step2: 匹配对应边

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

Step3: 写出全等三角形

根据对应顶点的对应关系,得到:
$\triangle ABC \cong \triangle YZX$

Answer

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

Question Image

Click to enlarge

Question Analysis

Subject mathematics
Sub Subject geometry
Education Level high school
Difficulty unspecified
Question Type with image
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-09T20:08:57

OCR Text

Show OCR extraction
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) $\triangle abc \\cong \\triangle \\square$

Temas relacionados

mathematicsgeometrywith imagehigh schoolturns-1

Preguntas relacionadas

Sovi AI iOS

Sitio oficial: mysovi.ai. Las páginas se sirven en question-banks.mysovi.ai. La app iOS está en Apple App Store.

Descargar en App Store Categoría: Geometría