Advertisements
Advertisements
Question
In a quadrilateral HOPE, PS and ES are bisectors of ∠P and ∠E respectively. Give reason.
Advertisements
Solution
Given, HOPE is a quadrilateral.
PS and ES are bisectors of ∠P and ∠E respectively.
A quadrilateral is a closed shape that is formed by joining four points among which any three points are non-collinear.
A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.
The sum of interior angles of quadrilaterals is always equal to 360 degrees.
The diagonals of the quadrilateral bisect each other.
The diagonals divide the quadrilateral into two pairs of congruent triangles.
The intersection point of the diagonals is also the intersection point of the lines connecting the midpoints of the opposite sides of the quadrilateral.
Therefore, the data is insufficient.
APPEARS IN
RELATED QUESTIONS
Explain how this figure is a trapezium. Which of its two sides are parallel?
All squares are trapeziums.
In `square`ABCD, side BC || side AD, side AB ≅ side DC If ∠A = 72° then find the measure of ∠B and ∠D.
Which of the following figures satisfy the following property?
- Only one pair of sides are parallel.
Which of the following properties describe a trapezium?
PQRS is a trapezium in which PQ || SR and ∠P = 130°, ∠Q = 110°. Then ∠R is equal to ______.
All angles of a trapezium are equal.
Every trapezium is a parallelogram.
Construct a trapezium ABCD in which AB || DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.
Construct a trapezium ABCD where AB || CD, AD = BC = 3.2 cm, AB = 6.4 cm and CD = 9.6 cm. Measure ∠B and ∠A.
[Hint: Difference of two parallel sides gives an equilateral triangle.]
