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How can you say that if areas of two triangles are equal then they are congruent?
Wiki User
∙ 13y ago
In order for a triangle to be congruent the two triangles have to be the same shape and size, thus they are congruent if they can be moved into an isometry or any other combination.
But you're asking how a question which has two possibilities.
Assuming that you have two triangles whose sides are equivalent which makes the areas equal to each other then you can state the side-side-side rule which is if the three sides of one triangle is equivalent to the other three sides of the other triangle then they are congruent.
But if you have an angle present in the triangles you could argue the angle angle side rule,
but if the angles are joint you would argue the angle side angle.
But if one triangle has one degree and the other one has a different degree then they will not be congruent.
Wiki User
∙ 13y ago
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It appears from the name of the HL Theorem that you actually need to know that only two parts of two triangles are congruent in order to prove two triangles congruent Is this the case?
No. You can know all three angles of both and all you can say is that the triangles are similar. Or with any pair of congruent sides you can have an acute angle between them or an obtuse angle.
What is the donkey theorem?
When trying to prove two triangles congruent, you can use SSS, SAS, ASA, AAS, HL, and HA patterns. However, the pattern A S S doesn't work. Instead of spelling or saying this word in class, you can refer to it as "the donkey theorem". You can look at the pattern in the two triangles and say "these two triangles are not congruent because of the donkey theorem." You CANNOT prove triangles incongruent with 'the donkey theorem', nor can you prove them congruent. It's mostly sort of a joke, you could say, but it's never useful. The reason is that if the two triangles ARE congruent, then of course there will be an unincluded congruent angle as well as two congruent sides. The theorem doesn't do anything left, right, forward or backward. It's not even really a theorem. :P
How do you say areas in french?
zones, secteurs, régions, parages
Is days and nights is equal at equator?
There are some tiny variations because of the tilt of the earth, but we can say that days and nights are roughly equal at the equator.
Friends what does monica say are the 7 areas?
A woman's erogenous zones
Why do you say congruent and not equal triangles?
Triangles are not equal to each other in the same way that 5 = 5 or 23 = 8 + 15 because they are not discrete values. Congruent is a similar term to equivalent, which allows comparison.
How can you say that triangles are congruent?
If the angles in each triangle are congruent
What is the math term of congruences?
Congruency is basically a mathematical term for equality: Two congruent triangles are equal to each other regarding size, area, angles etc. But we don't say they're equal, we say they're congruent. On the other hand, we don't say 22 is congruent to 4, we say it's equal to four...
What is a congruent isosceles triangle?
isosceles triangle is a triangle in which 2 of the 3 sides are equal length. the third side can be any length. there are an infinite number of such triangles. congruent just means total equal to another triangle. you only say congruent when referring to two different triangles. or you can say any triangle is congruent to itself. so if you have two isosceles triangle that are identical, then each one is a congruent isosceles triangle
Why congruence is a special case of similarity?
Term similar is more wide than term congruent. For example: if you say that two triangles are congruent that automatically means that they are similar, but if you say that some two triangles are similar it doesn't have to mean that they are congruent.
What does Hypotenuse-Leg mean?
"Hypotenuse-Leg" is a short-hand label for a corollary that you can use to prove that two right triangles are congruent. In general, in order to prove that two triangles are congruent, you have to show that either (two sides and the included angle) or (two angles and the included side) of one triangle are equal to the corresponding parts of the other one. But if you're dealing with two right triangles, it's enough to show that the hypotenuse and one leg of the the first triangle are equal to the hypotenuse and leg of the other one, and then you can say that the triangles are congruent. This process is called "Hypotenuse-Leg".
When can you say that two triangles are congruent?
if you can prove using sss,asa,sas,aas
What Triangle lmn is congruent to triangle ops is it correct to say that triangle lmn is congruent to triangle sop why or why not?
No, it is not correct.If lmn is congruent to ops thenlm is congruent to op,mn is congruent to ps andnl is congruent to so.And similarly with the corresponding angles of the two triangles.Unless the two triangles are equilateral, these relationships will NOT apply if the order of one of the triangles is altered.
What does the hypotenuse-angle theorem say?
If the hypotenuse and an acute angle of a right triangle are congruent to the correspondingparts of another right triangle, then the triangles are congruent.
It appears from the name of the HL Theorem that you actually need to know that only two parts of two triangles are congruent in order to prove two triangles congruent Is this the case?
No. You can know all three angles of both and all you can say is that the triangles are similar. Or with any pair of congruent sides you can have an acute angle between them or an obtuse angle.
What must be shown to be congruent in order to say that the triangles are congruent by SAS?
Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.
Is it true to say that two equiangular triangle are always equal?
No. Equiangular only implies the angles are the same, but says nothing about the lengths. Two equiangular triangles are always similar, only sometimes congruent.
