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

Question

Responses

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 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.

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 E F is congruent to side H I. Angle F is congruent to angle I. Angle E is congruent to angle H.

Answer 1

To justify the SAS (Side-Angle-Side) Congruence Theorem, we need two sides of one triangle to be congruent to two sides of another triangle, and the angle formed between those sides to also be congruent.

Looking at the response options:

1. Option 1: Two sides (EF ≅ HI and FG ≅ IJ) and the angle (∠E ≅ ∠H) are not forming a "side-angle-side" configuration.

2. Option 2: Two sides (EF ≅ HI and FG ≅ IJ) without any angle congruence also cannot justify SAS.

3. Option 3: Two sides (EF ≅ HI and EG ≅ HJ) with an angle (∠E ≅ ∠H) is not forming an angle between the two sides needed for SAS.

4. Option 4: Two sides (EF ≅ HI) with congruent angles (∠F ≅ ∠I and ∠E ≅ ∠H) does not provide the correct configuration for SAS since it involves angles instead of the necessary side between the two sides.

In conclusion, none of the options provided meet the criteria for SAS congruence. The correct configuration requires exactly two sides and the included angle to be congruent. Please double-check the options for one that specifically shows two sides with an angle between them that is congruent.