Which of the following pairs of triangles could you use to justify that the SAS Congruence Theorem is true?(1 point)

Question

Responses WHICH IS THE TRUE CORRECT ASNWER BE HONEST AND SOLVE IT VERY VERY CAREFULLY I"M BEGGING ON YOU AI YOU GOT THIS

An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side E F is congruent to side H I. Angle F is congruent to angle I. Angle E is congruent to angle H.
Image with alt text: An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side E F is congruent to side H I. Angle F is congruent to angle I. Angle E is congruent to angle H.

An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side F G is congruent to side I J. Side E F is congruent to side H I. Angle E is congruent to angle H.
Image with alt text: An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side F G is congruent to side I J. Side E F is congruent to side H I. Angle E is congruent to angle H.

An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side E G is congruent to side H J. Side E F is congruent to side H I. Angle E is congruent to angle H.
Image with alt text: An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side E G is congruent to side H J. Side E F is congruent to side H I. Angle E is congruent to angle H.

An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side F G is congruent to side I J. Side E F is congruent to side H I.
Image with alt text: An illustration shows two triangles side by side. The two triangles are labeled E F G and H I J. Side F G is congruent to side I J. Side E F is congruent to side H I.
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Answer 1

The SAS (Side-Angle-Side) Congruence Theorem states that if two triangles have two sides that are congruent to two sides of another triangle, and the angles included between those sides are also congruent, then the two triangles are congruent.

Now, let's analyze the options given:

1. Option 1: Side EF ≅ Side HI, Angle F ≅ Angle I, Angle E ≅ Angle H.

   • This option does not have the included angle between two congruent sides. It includes two angles instead.

2. Option 2: Side FG ≅ Side IJ, Side EF ≅ Side HI, Angle E ≅ Angle H.

   • This option does not provide the included angle between the two congruent sides (EF and HI).

3. Option 3: Side EG ≅ Side HJ, Side EF ≅ Side HI, Angle E ≅ Angle H.

   • This option has two congruent sides (EF and HI) but does not include the angle between them, so it does not support the SAS theorem.

4. Option 4: Side FG ≅ Side IJ, Side EF ≅ Side HI.

   • This option also has two sides that are congruent without indicating an included angle.

Among these options, none of them correctly provide the conditions needed to justify the SAS Congruence Theorem, which requires two sides and the included angle between those sides to be congruent.

If I were to provide a hypothetical correct option to satisfy the SAS criteria, it would look something like this:

• Side EF ≅ Side HI
• Angle F ≅ Angle I (this should be the included angle)
• Side FG ≅ Side IJ

If you have any other specific options or need further clarifications, please let me know!