If in two triangles ABC and PQR, AB/QR = BC/PR = CA/PQ, then
In figure, if ∠BAC =90° and AD⊥BC. Then,
If the lengths of the diagonals of rhombus are 16 cm and 12 cm. Then, the length of the sides of the rhombus is
In figure, two line segments AC and BD intersect each other at the point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = 50° and ∠CDP = 30°. Then, ∠PBA is equal to
If in two triangles DEF and PQR, ∠D = ∠Q and ∠R = ∠E, then which of the following is not true?
In ΔABC and ΔDEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are
If in ΔABC and ΔDEF, \frac{AB}{DE}=\frac{BC}{FD}, then they will be similar, when
If ΔABC ~ ΔQRP, \frac{ar(\Delta ABC)}{ar(\Delta QRP)}=\frac{9}{4} , BC = 15 cm, then PR is equal to
If S is a point on side PQ, of a ΔPQR such that PS = SQ = RS, then
In the given figure, \Delta ABC\ \cong\Delta DEF by ASA congruence test.
It is given that ΔABC ~ ΔDFE, ∠A = 30°, ∠C = 50°, AB = 5 cm, AC = 8cm and DF = 7.5 cm, then which of the following is true?
It is given that ΔABC ~ ΔPQR, with BC/QR = 1/3. Then \frac{ar(\Delta PQR)}{ar(\Delta ABC)} is equal to
If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true?
Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle?
It is given that ΔDEF ~ ΔRPQ. Is it true to say that ∠D = ∠R and ∠F = ∠P?
In figure, BD and CE intersect each other at the point P. Is ΔPBC ~ ΔPDE?
A and B are respectively the points on the sides PQ and PR of a ΔPQR such that PQ = 12.5 cm, PA = 5 cm, BR = 6 cm and PB = 4 cm. Is AB || QR?
In ΔPQR and ΔMST, ∠P = 55°, ∠Q =25°, ∠M = 100° and ∠S = 25°. Is ΔQPR ~ ΔTSM?
Is the following statement true?
“Two quadrilaterals are similar, if their corresponding angles are equal”.
The ratio of the corresponding altitudes of two similar triangles is \frac{3}{5}. Is it correct to say that ratio of their areas is \frac{6}{5}?
D is the point on side QR of ΔPQR such that PD ⊥ QR. Will it be correct to say that
ΔPQD ~ ΔRPD?
In the given figure, ∠D = ∠C, then is it true that ΔADE ~ ΔACB?
Is it true to say that if in two triangle, an angle of one triangle is equal to an angle of another triangle and, two sides of one triangle are proportional to the two sides of the other triangle, then triangles are similar?
If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle, can you say that two triangles will be similar?
Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle. Are the two triangle similar?
ABCD is a trapezium in which AB || DC and P and Q are points on AD and BC, respectively such that PQ || DC. If PD = 18 cm, BQ = 35 cm and QC = 15 cm, find AD.
In figure, if ∠1 =∠2 and ΔNSQ ≅ ΔMTR, state whether that ΔPTS ~ ΔPRQ.
In a ΔPQR, PR2 – PQ2 = QR2 and M is a point on side PR such that QM ⊥ PR. Check if QM2 =PM × MR.
Diagonals of a trapezium PQRS intersect each other at the point O, PQ || RS and PQ = 3 RS. Find the ratio of the areas of Δ POQ and Δ ROS.
Find the value of x for which DE||AB in given figure.
If ∆ABC ∼ ∆DEF, AB = 4 cm, DE = 6, EF = 9 cm and FD = 12 cm, then find the perimeter of ∆ABC.
Find the altitude of an equilateral triangle of side 8 cm.
In figure, if AB || DC and AC, PQ intersect each other at the point O. State whether OA.CQ = OC.AP.
In the given figure, if DE || BC, find the ratio of ar (ΔADE) and ar (DECB).
Corresponding sides of two similar triangles are in the ratio of 2 : 3. If the area of the smaller triangle is 48 cm2, find the area of the larger triangle.
In ΔPQR, N is a point on PR such that QN ⊥ PR. If PN × NR = QN2, then find ∠PQR.
In the given figure, if ∠ACB = ∠CDA, AC = 8 cm and AD = 3 cm, find BD.
A 15 metres high tower casts a shadow 24 metres long at a certain time and at the same time, a telephone pole casts a shadow 16 metres long. Find the height of the telephone pole.
Foot of a 10 m long ladder leaning against a vertical wall is 6 m away from the base of the wall. Find the height of the point on the wall where the top of the ladder reaches.
Areas of two similar triangles are 36 cm2 and 100 cm2. If the length of a side of the larger triangle is 20 cm, find the length of the corresponding side of the smaller triangle.
In the given figure, PQR is a right triangle right angled at Q and QS ⊥ PR. If PQ = 6 cm
and PS = 4 cm, find QS, RS and QR.
In the given figure, PA, QB, RC and SD are all perpendiculars to a line ‘l’, AB = 6 cm, BC = 9 cm, CD = 12 cm and SP = 36 cm. Find PQ, QR and RS.
In the figure, if ∠A = ∠C, AB = 6 cm, BP = 15 cm, AP = 12 cm and CP = 4 cm, then find the lengths of PD and CD.
It is given that ∆ ABC ~ ∆ EDF such that AB = 5 cm, AC = 7 cm, DF= 15 cm and DE = 12 cm. Find the lengths of the remaining sides of the triangles.
In the figure below, if PQRS is a parallelogram and AB||PS, state whether OC||SR.
A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then find the distance by which the top of the ladder would slide upwards on the wall.
A street light bulb is fixed on a pole 6 m above the level of the street. If a woman of height 1.5 m casts a shadow of 3m, find how far she is away from the base of the pole(in metres).
In the given figure, ABC is a triangle right angled at B and BD = AC. If AD = 4 cm, and
CD = 5 cm then find BD and AB.
A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.
For going to a city B from city A, there is a route via city C such that AC⊥CB, AC = 2x km and CB = 2(x + 7) km. It is proposed to construct a 26 km highway which directly connects the two cities A and B. Find how much distance will be saved in reaching city B from city A after the construction of the highway.
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