English

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

Advertisements
Advertisements

Question

ΔPQR ~ ΔSUV. Write pairs of congruent angles

Sum

Solution

ΔPQR ~ ΔSUV     ......[Given]

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

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Similarity - Q.1 (B)

RELATED QUESTIONS

In figure, ∠CAB = 90º and AD ⊥ BC. If AC = 75 cm, AB = 1 m and BD = 1.25 m, find AD.


In the given figure, AB || EF || DC; AB = 67.5 cm, DC = 40.5 cm and AE = 52.5 cm.

  1. Name the three pairs of similar triangles.
  2. Find the lengths of EC and EF.

The corresponding sides of two similar triangles ABC and DEF are BC = 9.1cm and EF = 6.5cm. If the perimeter of ΔDEF is 25cm, find the perimeter of ΔABC. 


In the given figure, ∠1 = ∠2 and `(AC)/(BD)=(CB)/(CE)`   Prove that Δ ACB ~ Δ DCE. 


Two chords AB and CD of a circle intersect at a point P outside the circle.
Prove that: (i) Δ PAC ~ Δ PDB  (ii) PA. PB = PC.PD 

   


ΔABC~ΔDEF and their areas are respectively 64 cm2 and 121cm2. If EF = 15.4cm, find BC. 


ΔABC is right angled at A and AD⊥BC. If BC = 13cm and AC = 5cm, find the ratio of the areas of ΔABC and ΔADC.


Select the appropriate alternative.
In ∆ABC and ∆PQR, in a one to one correspondence \[\frac{AB}{QR} = \frac{BC}{PR} = \frac{CA}{PQ}\] 


In the figure , ABCD is a quadrilateral . F is a point on AD such that AF = 2.1 cm and FD = 4.9 cm . E and G are points on AC and AB respectively such that EF || CD and GE || BC . Find `("Ar" triangle "BCD")/("Ar" triangle "GEF")`


An aeroplane is 30m long and its model is l5 cm long. If the total outer surface area of the model is 150 cm2 , find the cost of painting the outer surface of the aeroplane at Rs. 120 per m2, if  5O m2 is left out for windows.


A triangle ABC has been enlarged by scale factor m = 2.5 to the triangle A' B' C'. Calculate : the length of AB, if A' B' = 6 cm.


A triangle ABC is enlarged, about the point O as centre of enlargement, and the scale factor is 3. Find : A' B', if AB = 4 cm.


In the figure, PR || SQ. If PR = 10cm, PT = 5cm, TQ = 6cm and ST = 9cm, calculate RT and SQ.


A map is drawn to scale of 1:20000. Find: The distance covered by 6cm on the map


If ∆ABC ~ ∆DEF such that area of ∆ABC is 9 cm2 and the area of ∆DEF is 16 cm2 and BC = 2.1 cm. Find the length of EF.


Given ΔABC ~ ΔDEF, if ∠A = 45° and ∠E = 35° then ∠B = ?


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°


Observe the figure and complete the following activity


In fig, ∠B = 75°, ∠D = 75°

∠B ≅ [ ______ ]       ...[each of 75°]

∠C ≅ ∠C         ...[ ______ ]

ΔABC ~ Δ [ ______ ]     ...[ ______ similarity test]


In the adjoining diagram the length of PR is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×