Question
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.
Answers
GPT 3.5
Based on the given information, we can conclude that the two triangles are similar. This means that the corresponding sides of the triangles are proportional and the corresponding angles are congruent.
We can represent the given information using the following illustration:
E
/ \
F ______ G
H
/ \
I ______ J
Now, let's write down the corresponding congruence relations:
1) Side EF is congruent to side HI: EF ≅ HI
2) Angle F is congruent to angle I: ∠F ≅ ∠I
3) Angle E is congruent to angle H: ∠E ≅ ∠H
These congruence relations indicate that the two triangles EFG and HIJ are similar.
We can represent the given information using the following illustration:
E
/ \
F ______ G
H
/ \
I ______ J
Now, let's write down the corresponding congruence relations:
1) Side EF is congruent to side HI: EF ≅ HI
2) Angle F is congruent to angle I: ∠F ≅ ∠I
3) Angle E is congruent to angle H: ∠E ≅ ∠H
These congruence relations indicate that the two triangles EFG and HIJ are similar.