Use the following information to complete the statements below

Question

△JKI ≅ △ TSU



(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
<K ≅
<Response area

<U≅
<Response area

JI¯¯¯¯¯¯≅
Response area

responses: <T, TU with a large dash on top, JK with a large dash on top, <S, SU with a large dash on top, <J, TS with a large dash on top, <K, <I, <U

Answer 1

To complete the statements based on the congruence of triangles \( \triangle JKI \cong \triangle TSU \), we can match corresponding angles and sides.

1. Angles correspond as follows:

   • \( \angle J \) corresponds to \( \angle T \)
   • \( \angle K \) corresponds to \( \angle U \)
   • \( \angle I \) corresponds to \( \angle S \)

2. Sides correspond as follows:

   • Side \( JK \) corresponds to side \( TU \)
   • Side \( JI \) corresponds to side \( TS \)
   • Side \( KI \) corresponds to side \( SU \)

Now, we can fill in the responses.

Fill in the responses:

1. \( \angle K \cong \angle U \)
2. \( \angle U \cong \angle K \)
3. \( \overline{JI} \cong \overline{TS} \)

Now matching responses with the above:

• For <K, select '<K'
• For <U, select '<U'
• For JI¯¯¯¯¯¯≅, select 'TS with a large dash on top'

So the final answers would be:

1. <K ≅ <U
2. <U ≅ <K
3. JI¯¯¯¯¯¯≅ TS with a large dash on top

Answer 2

these answers are wrong

Answer 3

I apologize for the confusion. Let's accurately match the angles and sides based on the triangle congruence \( \triangle JKI \cong \triangle TSU \).

Given that:

• \( \triangle JKI \cong \triangle TSU \)

This implies the following correspondences:

• \( \angle J \cong \angle T \)
• \( \angle K \cong \angle U \)
• \( \angle I \cong \angle S \)

For the sides, the correspondences are:

• \( \overline{JK} \cong \overline{TU} \)
• \( \overline{JI} \cong \overline{TS} \)
• \( \overline{KI} \cong \overline{SU} \)

Based on the required responses:

1. \( \angle K \cong \)

   • Correct response: \( \angle U \) (Select <U)

2. \( \angle U \cong \)

   • Correct response: \( \angle K \) (Select <K)

3. \( JI \cong \)

   • Correct response: \( TS \) (Select TS with a large dash on top)

Here’s the completed set of responses:

1. \( \angle K \cong \angle U \)
2. \( \angle U \cong \angle K \)
3. \( \overline{JI} \cong \overline{TS} \)

Please ensure to choose the correct angles and sides based on the overall triangle correspondence. Thank you for your understanding, and I'm here to assist if you have more questions!

Answer 4

still wrong

Answer 5

I apologize for the errors in my previous responses. Let’s clarify the triangle congruence \( \triangle JKI \cong \triangle TSU \) step by step to accurately identify the corresponding angles and sides.

In triangle congruences, the order of the letters indicates which angles and sides correspond to each other. For the triangles given:

1. Vertices Correspondence:
   • \( J \) corresponds to \( T \)
   • \( K \) corresponds to \( U \)
   • \( I \) corresponds to \( S \)

From this:

• \( \angle J \cong \angle T \)
• \( \angle K \cong \angle U \)
• \( \angle I \cong \angle S \)

2. Sides Correspondence:

• \( \overline{JK} \cong \overline{TU} \)
• \( \overline{JI} \cong \overline{TS} \)
• \( \overline{KI} \cong \overline{SU} \)

Now we can fill in the responses correctly:

1. For \( \angle K \) : It corresponds to \( \angle U \)

   • Response: <U

2. For \( \angle U \) : It corresponds to \( \angle K \)

   • Response: <K

3. For \( \overline{JI} \) : It corresponds to \( \overline{TS} \)

   • Response: TS with a large dash on top

So, the correct filled responses should be:

1. \( \angle K \cong \angle U \) -> select <U
2. \( \angle U \cong \angle K \) -> select <K
3. \( \overline{JI} \cong \overline{TS} \) -> select TS with a large dash on top

Thank you for your patience. If there are specific guidelines or formats you're following, let me know so I can assist you better!