In adjacent figure, PR > PQ and PS bisects `/_QPR`. Prove that `/_PSR > /_PSQ`.

In the adjacent figure lines PQ and RS intersect each other at point O. If anglePOR : angleROQ = 5: 7, find all the angles.

In the adjacent figure BE bot DA and CD bot DA then prove that m angle1 ~= m angle3 .

In the adjacent figure, Delta ABC is right angled at C and DE bot AB . Prove that Delta ABC ~ Delta ADE and hence find the lengths of AE and DE ?

In the given figure, the point P bisects AB and DC. Prove that DeltaAPC ~= DeltaBPD (NCERT_TAM_MAT_IX_C07_E01_008_Q01.png" width="80%">

In the adjoining figure , seg PQ || AB. Seg PR || seg BD. Prove that QR||AD.

In the adjoining figure, angle PQR = 90^(@)T is the midpoint of side QR. Prove that PR^(2) = 4PT^(2) - 3PQ^(2)

Two triangles QPR and QSR, right angled at P and S respectively are drawn on the same base QR and on the same side of QR. If PR and SQ intersect at T, prove that PT xx TR= ST xx TQ .

In adjoining figure, find RP and PS using the information given in Delta PSR find RP and PS.

In the adjoining figure , Delta PQR is an equilateral triangle. QR = RN . Prove that PN^(2) =3PR^(2)