Mathematics
Grade9
Easy
Question
The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then
- PS = PQ and QR = RS
- PS = PR and SR = QS
- PQ = SR and QR = PS
- PS = RS and PQ = QR
Hint:
In this question we have to determine the correct statement from the given options. The sides given in the options belongs to 
So we need to prove the two triangles congruent first. Given that PR bisects the angles P and R , that means 
, and PR is common. After proving the triangles congruent we will get the correct statement.
The correct answer is: PS = PQ and QR = RS
The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then - PS = PQ and QR = RS.
Related Questions to study
Mathematics
In fig., if AB = AC and PB = QC, then by which congruence criterion is PBC ≅ QCB
In fig., if AB = AC and PB = QC, then by which congruence criterion is PBC ≅ QCB
MathematicsGrade9
Mathematics
In an isosceles triangle ABC with AB = AC, if BD and CE are the altitudes, then BD and CE are______.
In an isosceles triangle ABC with AB = AC, if BD and CE are the altitudes, then BD and CE are______.
MathematicsGrade9
Mathematics
In the case of two equilateral triangles, PQR and STU, the incorrect correspondence is _________
In the case of two equilateral triangles, PQR and STU, the incorrect correspondence is _________
MathematicsGrade9
Mathematics
If two sides of a triangle are equal, the angles opposite to these sides are______.
If two sides of a triangle are equal, the angles opposite to these sides are______.
MathematicsGrade9
Mathematics
In the following figure, PQ = PR and SQ = SR, then
In the following figure, PQ = PR and SQ = SR, then
MathematicsGrade9
Mathematics
Identify the incorrect statement from the following.
Identify the incorrect statement from the following.
MathematicsGrade9
Mathematics
Triangle ABC is congruent to triangle DEF. The side congruent to side BC is ___________.
Triangle ABC is congruent to triangle DEF. The side congruent to side BC is ___________.
MathematicsGrade9
Mathematics
In the given figure, AB = AC, AD = AE = 5 cm and DC = 8 cm. Length of EB is______.
In the given figure, AB = AC, AD = AE = 5 cm and DC = 8 cm. Length of EB is______.
MathematicsGrade9
Mathematics
Identify the postulate to prove the triangles to be congruent is _________.
Identify the postulate to prove the triangles to be congruent is _________.
MathematicsGrade9
Mathematics
Identify the postulate to prove the triangles to be congruent is _________.
Identify the postulate to prove the triangles to be congruent is _________.
MathematicsGrade9
Mathematics
Identify the postulate to prove the triangles to be congruent is _________.
Identify the postulate to prove the triangles to be congruent is _________.
MathematicsGrade9
Mathematics
If 
, the pair of congruent angles is __________.
If , the pair of congruent angles is __________.
MathematicsGrade9
Mathematics
Name the postulate, if possible, that makes the triangles congruent.
Name the postulate, if possible, that makes the triangles congruent.
MathematicsGrade9
Mathematics
Name the postulate, if possible, that makes the triangles congruent.
Name the postulate, if possible, that makes the triangles congruent.
MathematicsGrade9
Mathematics
Name the postulate, if possible, that makes the triangles congruent.
Name the postulate, if possible, that makes the triangles congruent.
MathematicsGrade9
