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geometry

by sara
(tuscaloosa)











































Which statement is true about the AAA theorem and the SSS postulate?

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AAA theorem describes congruence of all three sides in corresponding triangles. SSS postulate describes congruence of all three angles in corresponding triangles.
AAA theorem describes congruence of two angles and one side in corresponding triangles. SSS postulate describes congruence of two sides and one angle in corresponding triangles.
AAA theorem describes congruence of all three angles in corresponding triangles. SSS postulate describes congruence of all three sides in corresponding triangles.

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Oct 20, 2010
Triangles – Congruent Angles & Sides
by: Staff



The question:

by Sara
(Tuscaloosa, Alabama, USA)


Which statement is true about the AAA theorem and the SSS postulate?

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(1) AAA theorem describes congruence of all three sides in corresponding triangles.
SSS postulate describes congruence of all three angles in corresponding triangles.

(2) AAA theorem describes congruence of two angles and one side in corresponding triangles.
SSS postulate describes congruence of two sides and one angle in corresponding triangles.

(3) AAA theorem describes congruence of all three angles in corresponding triangles.
SSS postulate describes congruence of all three sides in corresponding triangles.




The answer:

Start out with the definitions for the AAA Theorem and the SSS Postulate


AAA Theorem: Angle-Angle-Angle

If three angles of one triangle are equal to three angles of another triangle, the triangles are similar. SIMILAR triangles have exactly the SAME SHAPE, but are not necessarily the same size.

SSS Postulate: Side-Side-Side

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. CONGRUENT triangles have exactly the SAME SHAPE and exactly the SAME SIZE.


Final Answer to Your Question

Statement (3) is the only statement which is correct

(3) AAA theorem describes congruence of all three angles in corresponding triangles.
SSS postulate describes congruence of all three sides in corresponding triangles.







Thanks for writing.


Staff
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