Prove that a cyclic parallelogram is a rectangle
Asked by admin @ in Math viewed by 303 People
Prove that a cyclic parallelogram is a rectangle
Answered by admin @
Let ABCD be a cyclic quadrilateral such that its diagonals AC and BD are the diameters of the circle
through the vertices A, B, C, and D.
As, AC is a diameter and angle in a semi-circle is a right angle
⇒∠ADC = 900 and ∠ABC = 900
Similarly,
BD is a diameter.
⇒∠BCD = 900 and ∠BAD = 900
Thus, ABCD is a rectangle
I hope u find this answer helpful
Mark it As brainilist
Similar Questions
Prove that a cyclic parallelogram is always a rectangle
Asked by admin @ in Math viewed by 302 persons
Prove that a cyclic parallelogram is a rectangle
How to prove that a cyclic parallelogram is a rectangle
Asked by admin @ in Math viewed by 325 persons
Prove that a cyclic parallelogram is a rectangle
Prove that any rectangle is a cyclic quadrilateral
Asked by admin @ in Math viewed by 248 persons
Prove that any rectangle is cyclic quadrilateral
6 3 proving that a quadrilateral is a parallelogram answers
Asked by admin @ in Mathematics viewed by 272 persons
Which of the following are NOT sufficient to prove that a quadrilateral is a parallelogram?
I. Two pairs of opposite angles congruent.
II. A pair of adjacent angles are supplementary. …
State and prove parallelogram law of vector addition
Asked by admin @ in Physics viewed by 336 persons
State and prove parallelogram law of vector and write it's special cases.
Prove that adjacent angles of a parallelogram are supplementary
Asked by admin @ in Math viewed by 394 persons
Prove that the adjacent angles of a parallelogram are supplementary
The angle bisectors of a parallelogram form a rectangle
Asked by admin @ in Math viewed by 331 persons
Prove that the angle bisectors of a parallelogram form a rectangle.
Explain with complete calculations & justifications.
Points : 20 ☺
Prove that the diagonal of parallelogram bisect each other
Asked by admin @ in Math viewed by 296 persons
Prove that diagonals of parallelogram bisect each other
State and prove the parallelogram law of vector addition
Asked by admin @ in Physics viewed by 298 persons
State and prove parallelogram law of vector and write it's special cases.
Prove that opposite sides of a parallelogram are equal
Asked by admin @ in Math viewed by 306 persons
Prove that in a parallelogram opposite sides are equal
Bisectors of angles of a parallelogram form a rectangle
Asked by admin @ in Math viewed by 277 persons
Show that the bisectors of angles of a parallelogram form a rectangle
Prove that rectangle circumscribing a circle is a square
Asked by admin @ in Math viewed by 351 persons
Prove that a rectangle circumscribing a circle is a square
Prove that the diagonals of a rectangle are equal
Asked by admin @ in Math viewed by 336 persons
Prove that diagonals of a rectangle are equal in length
Prove that opposite angles of a parallelogram are equal
Asked by admin @ in Math viewed by 343 persons
Theorem in a parallelogram opposite angles are equal
Prove that in a parallelogram opposite sides are equal
Asked by admin @ in Math viewed by 319 persons
Prove that in a parallelogram opposite sides are equal
Most viewed questions in Math
Prachi excellence in mathematics class 7 solutions pdf free download
Asked by admin @ in Math viewed by 12042 persons
Oxford new enjoying mathematics class 7 solutions chapter 1
Asked by admin @ in Math viewed by 11520 persons
Survey of various types of bank accounts icse project
Asked by admin @ in Math viewed by 11509 persons
Rahul went to his mother's mother in law
Asked by admin @ in Math viewed by 4179 persons