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its a shortcut to tell whether two triangles are congruent to each other or not its a shortcut because you can tell it without having to use geometric tools. There are Four types of them SAS (side angle side) ASA (angle side angle) SSS (side side side) and SAA ( side angle angle), in first one , if two sides and one included angle is congruent to two side and one included angle of another triangle then both triangle are congruent to each other. Second is ASA,, if two angles and one included side are congruent to two angles and one included side of another triangle then they both are congruent to each other. and so on like other one's too (hope you understand my point here). only two cases are not possible here and those are ASS (angle side side) because its not necessary if one angle and two sides are congruent to something then they will be congruent to each other , and the other false statement is AAA (angle angle angle) you could easily have one really small triangle with the same angles of a really big triangle but they will not be congruent so this conjecture would not work.
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Why is AAA not an appropriate conjecture for triangle congruence?
It does not necessarily prove congruence but it does prove similarity. You can have a smaller or bigger triangle that has the same interior angles.
What is the triangle sum conjecture?
triangle sum conjecture is the sum of the measures of the angles in every triangle is 180 degrees
What is rhs congruence triangle?
A triangle having 3 congruent sides is an equilateral triangle
What does the HL congruence postulate apply to?
right triangle
What is isosceles triangle conjecture?
you too
Why is AAA not an appropriate conjecture for triangle congruence?
It does not necessarily prove congruence but it does prove similarity. You can have a smaller or bigger triangle that has the same interior angles.
What is the triangle sum conjecture?
triangle sum conjecture is the sum of the measures of the angles in every triangle is 180 degrees
What are the 2 triangle congruence theorems?
The two triangle congruence theorems are the AAS(Angle-Angle-Side) and HL(Hypotenuse-Leg) congruence theorems. The AAS congruence theorem states that if two angles and a nonincluded side in one triangle are congruent to two angles and a nonincluded side in another triangle, the two triangles are congruent. In the HL congruence theorem, if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the two triangles are congruent.
What are the only two triangle congruence shortcuts that do not work?
The only Two Triangle congruence shortcuts that do not prove congruence are: 1.AAA( Three pairs of angles in a triangle) & 2.ASS or SSA(If the angle is not in between the two sides like ASA.
What is rhs congruence triangle?
A triangle having 3 congruent sides is an equilateral triangle
Which of the following is the right triangle congruence theorem?
There is nothing specific folloing right triangle congruence theorem. It depends on the order in whih the syllabus is taught.
Is a ASA triangle similarity postulate?
Since ASA is a congruence postulate and congruence implies similarity, then the answer is : yes.
What are the four congruence theorems for a right triangle?
The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
What does the HL congruence postulate apply to?
right triangle
How the triangle similarity postulates are alike and how they differ from triangle congruence postulates?
Similarity is where triangles have equal angles at each corner. Congruence is where triangles have sides of equal length.
What is isosceles triangle conjecture?
you too
Complete this sentence after a congruence transformation the area of a triangle would be it was before?
This sentence can be complete as: After a congruence transformation the area of a triangle would be the same as it was before.
