Question
The length of FG is ______.
- 52 m
- 50 m
- 12 m
- 46 m
Hint:
diagonals of a parallelogram bisect each other. use this to find t and then calculate length.
The correct answer is: 46 m
46
By property of parallelogram, we know that the diagonals of a parallelogram bisect each other. Hence, from the figure, we can infer that WP = PY
Or, 5t+8= 6t + 5 => t=3
Length of FG = 5t+8+6t+5
= 11t + 13 => FG= 11x3 + 13 = 46
Given polygon is a parallelogram.
Bisection means dividing into 2 equal parts in 1: 1 ratio.By property of parallelogram, we know that the diagonals of a parallelogram bisect each
Related Questions to study
The measure of is ________.
By angle sum property of a parallelogram, we know that sum of adjacent angles in a parallelogram = 180.
The measure of is ________.
By angle sum property of a parallelogram, we know that sum of adjacent angles in a parallelogram = 180.
The sum of the interior angles of a parallelogram is ______.
Sum of internal angles of a polygon =( n-2) x 180
sum of external angles of a polygon =360
The sum of the interior angles of a parallelogram is ______.
Sum of internal angles of a polygon =( n-2) x 180
sum of external angles of a polygon =360
The given polygon called as _____.
Nomenclature of polygons:
3 - triangle
4- qadrilateral
5- pentagon
6-hexa
7-septa
8-octa
9-nona
10-deca
and so on.
The given polygon called as _____.
Nomenclature of polygons:
3 - triangle
4- qadrilateral
5- pentagon
6-hexa
7-septa
8-octa
9-nona
10-deca
and so on.
Find the measure of x.
Bisection means to divide into 2 equal parts in the 1: 1 ratio. diagonals of a parallelogram bisect each other but not at right angles. a square is a special case of a parallelogram where the diagonals intersect at 90 degrees.
Find the measure of x.
Bisection means to divide into 2 equal parts in the 1: 1 ratio. diagonals of a parallelogram bisect each other but not at right angles. a square is a special case of a parallelogram where the diagonals intersect at 90 degrees.
A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.
A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.
Find the measure of angle Q.
A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.
Find the measure of angle Q.
A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.
What is the measure of side AB?
A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.
What is the measure of side AB?
A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.
The sum of angles of the given figure is _____.
By the property of polygons, we know that the sum of external angles of a polygon =360
Also,
Sum of internal angles of a polygon =( n-2) x 180
The sum of angles of the given figure is _____.
By the property of polygons, we know that the sum of external angles of a polygon =360
Also,
Sum of internal angles of a polygon =( n-2) x 180
Find the sum of measures of interior angles of a nonagon.
Sum of internal angles = (n-2) x 180
the sum of external angles of a polygon =360
these are properties of polygons.
Find the sum of measures of interior angles of a nonagon.
Sum of internal angles = (n-2) x 180
the sum of external angles of a polygon =360
these are properties of polygons.
What is the measure of A?
Properties of polygons state several rules for solving such problems. Sum of internal angles = (n-2) x 180 degrees. sum of external angles of a polygon = 360 degrees.
What is the measure of A?
Properties of polygons state several rules for solving such problems. Sum of internal angles = (n-2) x 180 degrees. sum of external angles of a polygon = 360 degrees.