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What theorem can you use to prove that AEB is congruent to CED?
asa theorem
What else would need to be congruent to show that triangle abc congruent to xyz by asa?
To show that triangle ABC is congruent to triangle XYZ by the ASA (Angle-Side-Angle) criterion, we need to establish that two angles in triangle ABC are congruent to two angles in triangle XYZ, along with the side that is included between those angles being congruent. Specifically, if we have ∠A ≅ ∠X, ∠B ≅ ∠Y, and side AB ≅ XY, then the triangles can be concluded as congruent by ASA. Thus, we would need to confirm the congruence of these angles and the included side.
Is it possible to have two noncongruent triangles that have two pairs of congruent angle and one pair of congruent sides?
not possible, they only have 3 sides so they have to be congruent by ASA or AAS
Who came up with the geometry postulate of sss sas asa and aas?
The SSS, ASA and SAA postulates together signify what conditions must be present for two triangles to be congruent. Do all of the conditions this postulates represent together have to be present for two triangles to be congruent ? Explain.
Can you use the ASA Postulate or the AAS Theorem to prove the triangles congruent?
Yes, you can use either the ASA (Angle-Side-Angle) Postulate or the AAS (Angle-Angle-Side) Theorem to prove triangles congruent, as both are valid methods for establishing congruence. ASA requires two angles and the included side to be known, while AAS involves two angles and a non-included side. If you have the necessary information for either case, you can successfully prove the triangles are congruent.
What else would need to be congruent to show that abc def by asa?
Angle "A" is congruent to Angle "D"
What else need to be congruent that abc def by asa?
B e
What theorem can you use to prove that AEB is congruent to CED?
asa theorem
Are the two right triangles TRS and WUV congruent If so name the congruence postulate that applies?
To be congruent, the three angles of a triangle must be the same and the three sides must be the same. If triangles TRS and WUV meet those conditions, they are congruent.
What else would need to be congruent to show that triangle abc congruent to xyz by asa?
To show that triangle ABC is congruent to triangle XYZ by the ASA (Angle-Side-Angle) criterion, we need to establish that two angles in triangle ABC are congruent to two angles in triangle XYZ, along with the side that is included between those angles being congruent. Specifically, if we have ∠A ≅ ∠X, ∠B ≅ ∠Y, and side AB ≅ XY, then the triangles can be concluded as congruent by ASA. Thus, we would need to confirm the congruence of these angles and the included side.
What is asa postulate?
The Angle Side Angle postulate( ASA) states that if two angles and the included angle of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.
Is PQR STU If so name the congruence postulate that applies?
congruent - asa
Is it possible to have two noncongruent triangles that have two pairs of congruent angle and one pair of congruent sides?
not possible, they only have 3 sides so they have to be congruent by ASA or AAS
When can you say that two triangles are congruent?
if you can prove using sss,asa,sas,aas
What else would need to be congruent to show that efg pqr by asa?
bc yz
What are three ways that you can prove that triangles are congruent?
If triangles have the corresponding sides congruent then they are congruent. SSS If two triangles have two sides and an included angle congruent then they are congruent. SAS If two triangles have two angles and an included side congruent then they are congruent. ASA SSA doesn't work.
What CANNOT be used to prove triangles congruent ASA. SSS. SAS.?
All three of those CAN .
