Inequalities In Triangles | Hinge Theorem Explained | Exterior Angle Inequality Theorem |Geometry

#geometry #hingetheorem

Exterior Angle Inequality Theorem

[thatpersonattheceiling]

Dan Joseph I. De Vera
1.) I've learned about the different kinds of Triangle Hinge Theorem
2.) It was hard to understand at first. But it gotten easier over time.

[eczicwk]

1. i've learned the 4 kinds of Inequalities in Triangles Theorem
2. for me, there's no difficulties about this discussion but what if the two sides of one triangle are not congruent to two sides of another triangle?

-St. Monica

[artemasashleyg.sumabal]

1. What have you learned about hinge and converse of hinge theorem?
There are 4 Kinds of Inequalities in Triangle Theorem.
2. What are the difficulties you encountered in the discussion?
What if two triangles aren't congruent?

[haviershatur]

Charles Andre A. Canania, St. Augustine
1. I've learned that hinge theorem mean that if two triangles have two congruent sides, then the one with the larger included angle has the longer third side. While converse hinge theorem means that if two triangles have two congruent sides, then the one with the longer third side has the larger included angle.

2. I didn't really find the discussion difficult and I don't have any questions.

[mawynnejoiezsuasin]

1. I've learned about what are the 4 kinds of Inequalities in Triangles THEOREM, what are their meanings and how to find out the said kinds of Inequalities.
2. I don't have any difficulties in this discussion and....I really don't know if I have a question.

Mawynne Joiez M. Suasin
Grade 8 St. Augustine

[kimheiselombajin]

1. What have you learned about hinge and converse of hinge theorem?
I've learned that there are 4 Kinds of Inequalities in the Triangle Theorem.
2. What are the difficulties you encountered in the discussion?
I didn't really find the discussion difficult for as it was well explained and well arranged for students to understand, but I do have one single question... What if two triangles aren't congruent?

[ashleyzeonneborcelas]

1. I learned about the four kinds of inequalities and that the hinge theorem has 2 congruent sides.

2. I had no difficulties about this discussion.

St. Monica

[xing]

1. I've learned that hinge theorem cruel that in the event that two triangles have two compatible sides, at that point the one with the bigger included point has the longer third side. Whereas banter hinge theorem implies that in case two triangles have two compatible sides, at that point the one with the longer third side has the bigger included angle.

2. i dont really have any difficulties in the topic, therefore i have no questions.

[patrickmandalunes]

1.What have you learned about hinge and converse of hinge theorem?
I have learned that the Hinge Theorem has 2 congruent sides, the largest included will have the longest third side, the Converse of Hinge Theorem has 2 congruent sides, the longest will have largest included angle.

2.What are the difficulties you encountered in the discussion?
I had no difficulties while watching the video.

[dot]

1. What have you learned about hinge and converse of hinge theorem?
I learned about 4 kinds of inequalities in tringle and how each of them work.

2. What are the difficulties you encountered in the discussion?
I didn't really had difficulties because the video presentiation is very good at instructions and it made it easy to learn. But i have one question, what if the two triangles is not congruent on both theorems. is it possible?

[koi]

1. What have you learned about hinge and converse of hinge theorem?
-What I learned is the hinge theorem which the largest included angle will have the longest third side. While the converse of hinge theorem which the longest included angle will have the largest third side.


2. What are the difficulties you encountered in the discussion?


- I was confused about where and what are the "Third side" and the picture, but then while I'm watching and repeating it again and again I'm starting to understand.

[beaibusayong]

1. I've learned in this topic is the difference between the HINGE THEOREM and CONVERSE THEOREM is the Converse theorem is the opposite of hinge theorem.
2. I don't have any difficulties in this discussion.

[stephaniegracehinoguin]

1. I have discovered that the hinge theorem means that if two triangles have sets of congruent sides, the Longest Included Angle will have the Longest Third Side, whereas the hinge theorem suggests that if two triangles have two sets of congruent sides, the Longest Third Side will have the Largest Included Angle.
2.With the exception of the question what if the two triangles are not congruent, what would you do, I have no problems I have encountered in this discussion.

[LeuNeo]

1. From what I've learned that the 4 kinds of inequalities triangle theorem
2. What happens if the tow triangle aren't congruent or one of the two is.

[joshuaabanero]

1. I've learned that hinge theorem means that if two triangles have 2 sets of congruent side, the largest included angle will have the longest third side. Also in converse hinge theorem the longest third side will have the largest included angle. In my observation you'll just compare both given measurement and identify weather it is greater than, less than or equal to.
2. Just in the beginning about the explanation but now i got it.

[rojanmaenunezdecastro]

1. What have you learned about hinge and converse of hinge theorem?
-In geometry, the  states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle. This theorem is actually Propositions 24 of Book 1 of Euclid's Elements (sometimes called the ). The theorem states the following:


2. What are the difficulties you encountered in the discussion?


- What if two triangles aren't congruent?

[nuggets]

1. What have you learned about hinge and converse of hinge theorem?
I have learned the usage and functions of the 4 inequalities in triangle theorem.

2. What are the difficulties you encountered in the discussion?
I don't have any difficulties that i have encountered in this discussion except for the question what if the two triangles are not congruent what will you do.

[jamesdeivenjoson]

1.What have you learned about hinge and converse hinge theorem? I've learned the 4 kinds of inequalities in Triangle Theorem.
2.What are the difficulties you encountered in the discussion? But suppose that the pairs of triangle at times are not congruent what to do?

[LNLNC]

1. I've learned that hinge theorem means that if two triangles have sets of congruent sides, the Largest included angle will have the Longest third side while for converse of hinge theorem means that if two triangles have two sets of congruent sides, the Longest third side will have the Largest included angle.

2. I didn't really find the discussion difficult but I do have a question, What if the two triangles don't have congruent sides, can we still prove if theres a third side on the triangle or should the two triangles need to be congruent so that we can prove that the two triangles have a third side?

[userassy]

1. I have learned about the converse of thr hinge theorem states that when 2 congruent sides, well then the triangle with the longer sides will have a larger angle opposite to the third side.

2. I don't have difficulties about this.