Consider the statement: (SSSS) Let ABCD and A'B'C'D' be quadrilaterals, and suppose that AB = A'B', BC = B'C', CD= C'D' and DA = D'A'. Then ABCD and A'B'C'D' are congruent (i.e., in addition, ZABC = LA'B'C', ZBCD = LB'C'D', LCDA = LC'D'A' and LDAB = 2D'A'B'). Either prove that the statement (SSSS) is true or find a counter-example to show that it is false. th com of

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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d) Consider the statement:
(SSSS) Let ABCD and A'B'C'D' be quadrilaterals, and suppose that AB =
A'B', BC = B'C', CD= C'D' and DA = D'A'. Then ABCD and A'B'C'D'
are congruent (i.e., in addition, ZABC = LA'B'C', ZBCD = LB'C'D', LCDA =
LC'D'A' and LDAB = ZD'A'B').
Either prove that the statement (SSSS) is true or find a counter-example to show
that it is false.
in this tr
sopus of
Transcribed Image Text:d) Consider the statement: (SSSS) Let ABCD and A'B'C'D' be quadrilaterals, and suppose that AB = A'B', BC = B'C', CD= C'D' and DA = D'A'. Then ABCD and A'B'C'D' are congruent (i.e., in addition, ZABC = LA'B'C', ZBCD = LB'C'D', LCDA = LC'D'A' and LDAB = ZD'A'B'). Either prove that the statement (SSSS) is true or find a counter-example to show that it is false. in this tr sopus of
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