Two similar triangles will always have ________angles

If in triangles PQR and XYZ, \(\frac{PQ}{XY}=\frac{QR}{ZX}\) then they will be similar if

A flag pole 15 m high casts a shadow of 3 m at 10 a.m. The shadow cast by a building at the same time is 18.6 m. The height of the building is

If ΔABC～ΔPQR in which ∠A = 53^o and ∠Q = 77^o, then R is

In the figure, which of the following statements is true?

In the given figure YH||TE . Prove that ΔWHY～ΔWET and also find HE and TE.

In the given figure, if ΔEAT～ΔBUN, find the measure of all angles.

In the given figure, ∠CIP ≡ ∠COP and ∠HIP ≡ ∠HOP . Prove that IP ≡ OP.

In the given figure if \(\frac { AO }{ OC } =\frac { BO }{ OD } =\frac { 1 }{ 2 } \) and AB=5cm. Find the value of DC.

In the given figure if \(\angle \)A =\(\angle \)C then prove that \(\triangle \)AOB ~\(\triangle \)COD

Find the unknowns in the following figures

Find the unknowns in the following figures

In Fig, if ΔPEN ～ ΔPAD, then find x and y.

In the figure with respect to \(\triangle \)BEP and \(\triangle \)CPD prove that BP x PD = EP x PC.

Two triangles BAC and BDC right angled at A and D respectively are drawn on the same base BC and on the same side of BC. If AC and DB intersect at P. Prove that AP x PC = DP x PB.

Construct a quadrilateral ABCD with AB = 7 cm, AD = 5 cm, CD = 5 cm, ∠BAC = 50° and ∠ABC = 60°. Also find its area.

P and Q are points on sides AB and AC respectively of \(\triangle \)ABC. If AP = 3 cm PB = 6cm, AQ = 5 cm and QC = 10 cm, show that BC = 3 PQ.