asked 95.5k views
1 vote
In the figure to the right, can you conclude that triangle GHI is congruent to triangle KJI? Justify your reasoning.

In the figure to the right, can you conclude that triangle GHI is congruent to triangle-example-1
asked
User Dhooonk
by
8.6k points

1 Answer

3 votes

Answer:

No

Explanation:

You cannot conclude that ΔGHI is congruent to ΔKJI, because although you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K), we don't know the side lengths.

All the angles could be congruent, but the sides might be different. For example, ΔGHI might be a bigger triangle than ΔKJI, which could make them similar to one another, but not congruent.

For something to be congruent to another, everything must be exactly the same.

answered
User Memento
by
8.0k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.