Answer 5 :-
We have,
We know that,
Parallelogram has opposite sides parallel and equal.
From above property,
Thus, The value of x is 5cm
Therefore,
The value of HE
The measurement of HE is 10 cm
Hence, Option A is correct
Answer 6 :-
We have,
In parallelograms, Opposite angles are equal
From above property,
Thus, The value of y is 22°
Therefore,
The measurement of Angle HER
The measurement of angle HER is 84°
Hence option D is correct
Answer 7 :-
We have,
The diagonals of parallelogram are equal in length Here, RZ is the bisector of diagonal HR
Thus, The value of a is 10
Therefore,
The measurement of HZ
The measurement of HZ is 35 cm
Hence, Option C is correct
Answer 8 :-
We have ,
One diagonals = 5x - 47
Another diagonal = 2x + 34
In isosceles trapezoid, Diagonals are equal in length.
From above property,
Thus, The value of x is 27
Hence, Option A is correct
Answer 9 :-
We have,
The sides of parallelogram GAME are (7x - 1 ) , ( 5x + 10 ) , (6x) , ( 7x - 2 )
In parallelogram, Opposite sides are equal
From above property,
Thus, measurements of parallelogram GAME in inches is 1 and 6 .
Hence, Option B is correct
Answer 10 :-
We have,
The diagonals of rectangle are equal in length. Here, NP = OE PS and NS act as a bisector in OE and OS and ES act as a bisector in NP
From above we can say that,
Thus, The value of OE is 38 cm
Therefore,
[ Diagonals of the given rectangle ]
Thus , The value of NP is 36 cm
Hence, Option C is correct
