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

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 angle between those two sides is also congruent, then the triangles are congruent.

To justify the SAS congruence theorem, we need a scenario where two pairs of sides and the included angle are confirmed as congruent.

Among the options given, the pair that fulfills this condition is:

The option that states:

• Side E F is congruent to side H I.
• Side F G is congruent to side I J.
• Angle F (included angle between sides E F and F G) is congruent to angle I (included angle between sides H I and I J).

This option provides the necessary congruences needed to apply the SAS theorem.