Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Question

Write a correct congruence statement for this pair of triangles?

Practice

**Instructions:** Write a correct congruence statement for this pair of triangles. **Diagram Explanation:** The image shows two triangles, △JHI and △FHI, sharing side \( \overline{HI} \). The two triangles are part of a quadrilateral \( IJFH \). The red markings indicate equality: - Side \( \overline{IJ} \) is equal to side \( \overline{FH} \). - Side \( \overline{HJ} \) is equal to side \( \overline{FI} \). - Angle \( \angle JHI \) is equal to angle \( \angle FIH \). - Angle \( \angle JIH \) is equal to angle \( \angle HFI \). Based on these indications, the triangles have angles and sides that are marked congruently, suggesting congruence by ASA (Angle-Side-Angle) or SAS (Side-Angle-Side) criteria. **Congruence Statement:** △JHI ≅ △FHI
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Transcribed Image Text:**Instructions:** Write a correct congruence statement for this pair of triangles. **Diagram Explanation:** The image shows two triangles, △JHI and △FHI, sharing side \( \overline{HI} \). The two triangles are part of a quadrilateral \( IJFH \). The red markings indicate equality: - Side \( \overline{IJ} \) is equal to side \( \overline{FH} \). - Side \( \overline{HJ} \) is equal to side \( \overline{FI} \). - Angle \( \angle JHI \) is equal to angle \( \angle FIH \). - Angle \( \angle JIH \) is equal to angle \( \angle HFI \). Based on these indications, the triangles have angles and sides that are marked congruently, suggesting congruence by ASA (Angle-Side-Angle) or SAS (Side-Angle-Side) criteria. **Congruence Statement:** △JHI ≅ △FHI
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