C-08-Q132mediumsingle_mcq

Theorem 24 states that if two opposite angles of a quadrilateral are supplementary, then the four vertices are—

acollinear
bconcyclic
ccoplanar but not concyclic
dconcurrent

ব্যাখ্যা

Theorem 24 is the converse of the cyclic-quadrilateral property: if a pair of opposite angles is supplementary, the four vertices must lie on one circle, i.e. they are concyclic.

এই অধ্যায়ের আরও প্রশ্ন

C-08-Q133Theorem 24 is the converse of—
C-08-Q134The proof of Theorem 24 begins by assuming a circle through three of the four vertices and seeking a contradic
C-08-Q135In the proof, is the second intersection point of side with the auxiliary circle through . We deduce , which c
C-08-Q136The conclusion of Theorem 24 is that—
C-08-Q137The internal and external bisectors of and of meeting at and make —
C-08-Q138In Exercise 8.3 Q2, four points are—
C-08-Q139If chords of a circle with centre meet at right angles inside the circle, then equals—
C-08-Q140In a cyclic quadrilateral with opposite angles supplementary and bisecting , we have—
C-08-Q141In a circle of radius cm with cm and bisecting , the length equals—
C-08-Q142If two triangles standing on equal bases have supplementary vertical angles, their circumcircles are—

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