SSS Congruence Postulate or theorem proves that △PNQ and △QRP are congruent
Explanation:
According to the dictionary, congruent (of figures) is identical in form; coinciding exactly when superimposed. Two figures or objects are congruent if they have the same shape and size.
According to the picture attached, the answer is SSS Congruence Postulate Because I have three pairs of congruent sides such as
PR = NQ is one pair, QR = NP is another pair, then PQ = PQ is the third pair
SSS Congruence Postulate or theorem proves that △PNQ and △QRP are congruent
Which postulate or theorem proves that △PNQ and △QRP are congruent?
- a. SAS Congruence Postulate
- b. SSS Congruence Postulate
- c. HL Congruence Theorem
- d. ASA Congruence Postulate
.
The other example can be seen in the second attachment of picture. The question is still the same: Determine which postulate or theorem can be used to prove that ABC = DCB!
Then AC = DB
AB = DC
BC = BC, This side is equal to itself
Therefore the three sides of one triangle equal to 3 sides of the other. It means that the triangles are congruent. Therefore the answer is SSS
Hope it helps you to learn more about triangle.
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