<K ≅ <

<U ≅ <
¯
JI ≅
A)
Use the following information to complete the statements below
△JKI ≅ △ TSU
(1 point)
 <K
¯
 TS  <J  <I
¯
 JK
¯
 TU  <U  <T  <S
¯
 SU

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

Based on the information provided that triangles \( \triangle JKI \) are congruent to \( \triangle TSU \) (noted as \( \triangle JKI \cong \triangle TSU \)), we can conclude the following statements related to their corresponding parts:

  1. Corresponding Angles:

    • Since \( \triangle JKI \cong \triangle TSU \):
      • \( \angle K \cong \angle T \)
      • \( \angle J \cong \angle S \)
      • \( \angle I \cong \angle U \)
  2. Corresponding Sides:

    • Corresponding sides of congruent triangles are equal in length:
      • \( \overline{JK} \cong \overline{TU} \)
      • \( \overline{JI} \cong \overline{TS} \)
      • \( \overline{KI} \cong \overline{SU} \)

To summarize the relationships based on triangle congruence:

  • \( \angle K \cong \angle T \)

  • \( \angle J \cong \angle S \)

  • \( \angle I \cong \angle U \)

  • \( \overline{JK} \cong \overline{TU} \)

  • \( \overline{JI} \cong \overline{TS} \)

  • \( \overline{KI} \cong \overline{SU} \)

These statements correctly represent the corresponding parts of congruent triangles based on the provided information.