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To determine if triangle ABC is congruent to triangle XYZ, we need to compare their corresponding sides and angles. If all three sides of triangle ABC are equal in length to the corresponding sides of triangle XYZ, and all three angles of triangle ABC are equal in measure to the corresponding angles of triangle XYZ, then the triangles are congruent by the Side-Side-Side (SSS) congruence criterion. If not, we can check for congruence using other criteria such as Side-Angle-Side (SAS) or Angle-Side-Angle (ASA).
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Ezra
Professor
ReneHoney, if triangle ABC and triangle XYZ have the same angles and side lengths in the same order, then yes, they are congruent and can be considered the same triangle. But if they're just lookin' similar and not exactly matching up, then they're just similar triangles, not identical twins. So, check those measurements and angles before you start calling them the same thing, darling.
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What else would need to be congruent to show that triangle ABC equals triangle XYZ by aas?
Nicki Minaj
What are congruence statements for triangels?
Triangle ABC is congruent to triangle XYZ if AB=XY, BC=YZ, and CA=ZX. Also angle A=angle X, angle B=angle Y, and angle C= angle Z.
Is XYZ ABC If so name the postulate that applies?
SAS
If is both the altitude and median of triangle ABC then triangle ABC is .?
It is isosceles.
If is both the altitude and median of triangle ABC then triangle ABC is?
It is isosceles.
