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What are the 5 Congruency Theorems for triangles?
The five congruency theorems for triangles are: Side-Side-Side (SSS) Theorem: If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. Side-Angle-Side (SAS) Theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. Angle-Side-Angle (ASA) Theorem: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent. Angle-Angle-Side (AAS) Theorem: If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent. Hypotenuse-Leg (HL) Theorem: In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.
Is SAS a right triangle congruency ONLY?
SAS (Side-Angle-Side) is a geometric term that describes if two triangles are congruent - whether it is a right triangle or not.
What is hl congruency theroem?
If the hypotenuse and one leg of a right angled triangle are congruent to the hypotenuse and leg of another right angled triangle, then the two triangles are congruent.
What is the relationship of sides and angles between similar triangles in Triangle Similarity Theorems?
if any two angles are similar the triangle will be similar
If two angles of a triangle are acute then the third angle .?
... may be acute, right, or obtuse.
Which point is the point of congruency for the angle bisectors of a triangle?
Incentre.
Are two triangles are congruent if 3 sides are equal?
triangle congruency
Three congruent triangle?
Congruency can only be determined between two regular polygons.
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.
Was Pythagoras known for right triangle theorems?
Yes he is known for the theorem that has his name.
Is SAS a right triangle congruency ONLY?
SAS (Side-Angle-Side) is a geometric term that describes if two triangles are congruent - whether it is a right triangle or not.
What is hl congruency theroem?
If the hypotenuse and one leg of a right angled triangle are congruent to the hypotenuse and leg of another right angled triangle, then the two triangles are congruent.
What is the relationship of sides and angles between similar triangles in Triangle Similarity Theorems?
if any two angles are similar the triangle will be similar
Which of the following are right triangle congruence theorems (Apex)?
HA, LA, HL, LL [APEX]
What is the symbol for congruency?
it looks like =with a~ over it
Who was the mathematician who established five theorems upon which all geometry can be built?
Pythagoras
If two angles of a triangle are acute then the third angle .?
... may be acute, right, or obtuse.
