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If a side and two angles at either end of it (Angle-Side-Angle = ASA) of one triangle are the same measure as that of another triangle, then the two triangles are congruent.
In fact, it does not have to be the angles at the ends of the sides in question since two angles being equal means that the third pair of angle will also be equal. So as long as the ASA are in corresponding order, the triangles will be congruent.
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What do you called sss sas asa saa?
they are all postulates or shortcuts on finding 2 triangles congruence, except that SAA does not exist.
What are the congruence shortcuts?
SSS-side, side, side SAS-side, angle, side ASA-angle, side, angle SAA-side, angle, angle
Who is the father of congruence of triangles?
The father of congruence of triangles is Euclid, a renowned ancient Greek mathematician known as the "Father of Geometry." In his seminal work, "Elements," Euclid laid down the foundational principles of geometry, including the concept of congruence of triangles. He established the criteria for triangle congruence, such as the Side-Angle-Side (SAS) and Angle-Side-Angle (ASA) postulates, which are still fundamental in modern geometry. Euclid's contributions to the study of triangles and their congruence have had a lasting impact on mathematics and geometric reasoning.
which property can you use t prove that IF....?
reflexive property of congruence
Who discovered congruence of triangles?
Pascal (both the Persians and the Chinese) discovered the congruence of traingle during the eleventh century
Is a ASA triangle similarity postulate?
Since ASA is a congruence postulate and congruence implies similarity, then the answer is : yes.
What are congruence theorems?
there are 4 types of congruence theorem-: ASA,SSS,RHS,SAS
Wwhich of the following are not congruence theorems or postulates?
the congruence theorems or postulates are: SAS AAS SSS ASA
What is Asa congruence postulate?
Angle side angle congruence postulate. The side has to be in the middle of the two angles
Is PQR STU If so name the congruence postulate that applies?
congruent - asa
What is the HA theorem is a special case of?
It is a special case of ASA congruence.
What additional congruence do you need in order to prove that abe dbc by the asa congruence postulate?
We definitely need to see the drawing that goes along with that question before we can even begin to try and answer it.
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 The HA congruence theorem for right triangles is a special case of the .?
The correct answer is the AAS theorem
What do you called sss sas asa saa?
they are all postulates or shortcuts on finding 2 triangles congruence, except that SAA does not exist.
How does the ASA congruence theorem differ form the AAS congruence theorem?
ASA or Angle Side Angle differs from the AAS in that the order of the sides or angles are stated is the same as they are labeled on a triangle. Just because the letters are shifted doesn't make them different. There are three angles on a triangle and there are only two stated so the two stated cannot be assigned to angles with a side in between them for AAS, or a side at either side for ASA.
What are the congruence shortcuts?
SSS-side, side, side SAS-side, angle, side ASA-angle, side, angle SAA-side, angle, angle
