Theorem 8.5 : If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram.
Text Solution
Verified by Experts
By angle sum property of quadrilateral
`/_1+/_2+/_3+/_4=360`
`/_1+/_2+/_1+/_2=360`
`2(/_1+/_2)=360`
`/_1+/_2=180`
For lines `AD` and `BC` with `AB` as transversal,
...
|
Topper's Solved these Questions
NCERT THEOREMS
NCERT|Exercise THEOREM 8.6|1 Videos
NCERT THEOREMS
NCERT|Exercise THEOREM 8.7|1 Videos
NCERT THEOREMS
NCERT|Exercise THEOREM 8.4|1 Videos
LINES AND ANGLES
NCERT|Exercise SOLVED EXAMPLES|8 Videos
NUMBER SYSTEMS
NCERT|Exercise EXERCISE 1.4|2 Videos
Similar Questions
Explore conceptually related problems
Theorem 8.3 : If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram.
Which of the following statements are true (T) and which are false (F)? In a parallelogram, the diagonals are equal. In a parallelogram, the diagonals bisect each other. In a parallelogram, the diagonals intersect each other at right angles. In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram. If all the angles of a quadrilateral are equal, it is a parallelogram. If three sides of a quadrilateral are equa, it is a parallelogram. If three angles of a quadrilateral are equal, it is a parallelogram. If all the sides of a quadrilateral are equal it is a parallelogram
Draw a quadrilateral XYZW and name the pairs of opposite angles.
In the given quadrilateral KITE, name all the pairs of opposite angles
Theorem 8.7 : If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
A quadrilateral is parallelogram if its opposite angles are equal.
In a parallelogram if each angle is equal then it is called a
A quadrilateral whose opposite sides and all the angles are equal is a
A quadrilateral, in which both pairs of opposite sides are parallel and equal is called a
A quadrilateral whose each angle is a right angle is a square (b) rectangle rhombus (d) parallelogram
