हिंदी

ΔPQR ~ ΔSUV. Write pairs of congruent angles - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

ΔPQR ~ ΔSUV. Write pairs of congruent angles

योग

उत्तर

ΔPQR ~ ΔSUV     ......[Given]

∴ ∠P ≅ ∠S, ∠Q ≅ ∠U, ∠R ≅ ∠V    ......[Corresponding angles of similar triangles]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Similarity - Q.1 (B)

संबंधित प्रश्न

In figure, find ∠L


`triangleDEF ~ triangleMNK`. If DE = 5 and MN = 6, then find the value of `(A(triangleDEF))/(A(triangleMNK))`


Prove that, in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.


Given: FB = FD, AE ⊥ FD and FC ⊥ AD.

Prove that: `(FB)/(AD) = (BC)/(ED)`.


On a map, drawn to a scale of 1 : 250000, a triangular plot PQR of land has the following measurements : 

PQ = 3cm, QR = 4 cm and angles PQR = 90°

(i) the actual lengths of QR and PR in kilometer.
(ii) the actual area of the plot in sq . km.


In an isosceles ΔABC, the base AB is produced both ways in P and Q such that
AP × BQ = AC2.
Prove that ΔACP~ΔBCQ.  

 


State the AA-similarity criterion 


State the SAS-similarity criterion 


 In ∆ABC and ∆DEF ∠B = ∠E, ∠F = ∠C and AB = 3DE then which of the statements regarding the two triangles is true ?


Δ ABC ~ Δ DEF. If BC = 3cm , EF=4cm and area of  Δ ABC = 54 cm2 ,  find area of  Δ DEF.


On a map drawn to a scale of 1 : 25000, a triangular plot of a land is marked as ABC with AB= 6cm, BC = 8cm and ∠ ABC = 90° . Calculate the actual length of AB in km and the actual area of the plot in km2


D and E are points on the sides AB and AC respectively of a Δ ABC such that DE | | BC and divides Δ ABC into two parts, equal in area. Find `"BD"/"AB"`.


ABCD is a parallelogram whose sides AB and BC are 18cm and 12cm respectively. G is a point on AC such that CG : GA = 3 : 5 BG is produced to meet CD at Q and AD produced at P. Prove that ΔCGB ∼ ΔAGP. Hence, fi AP.


Given that ΔABC ∼ ΔPRQ, name the corresponding angles and the corresponding sides.


D is the mid point of side BC and AE ⊥ BC. If BC = a, AC = b, AB = c, ED = x, AD = p and AE = h, prove that b2 + c2 = `2"p"^2 + "a"^2/2`


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


Are triangles in figure similar? If yes, then write the test of similarity.


State whether the following triangles are similar or not: If yes, then write the test of similarity.

∠P = 35°, ∠X = 35° and ∠Q = 60°, ∠Y = 60°


Write the test of similarity for triangles given in figure.


Areas of two similar triangles are equal then prove that triangles are congruent


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×