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Q: What postulate states that quantity must be equal to itself?
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Why isn't there an AAA postulate for similarity?

there isn't a AAA postulate because,,, for a triangle to be equal, there HAS to be a side in it


How are the segment addition postulate and the angle addition postulate similar?

Both state that the whole is equal to the sum of the component parts.


Is ABC equal to DEF if so what is the postulate that applies?

Yes, triangles ABC and DEF can be considered equal (congruent) if they meet specific criteria, such as having all corresponding sides and angles equal. The postulate that applies in this case is the Side-Side-Side (SSS) Congruence Postulate, which states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. Other applicable postulates include Side-Angle-Side (SAS) and Angle-Side-Angle (ASA), depending on the given information.


Is ABC DEF If so name the congruence postulate that applies.?

Yes, triangles ABC and DEF are congruent if all corresponding sides and angles are equal. The congruence postulate that applies in this case could be the Side-Angle-Side (SAS) postulate, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent. Other applicable postulates include Side-Side-Side (SSS) and Angle-Angle-Side (AAS), depending on the known measurements.


What property is 5x equals 5x?

The equation is true because of the reflexive property of equality which states in words that every quantity is equal to inself.