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Is it true to say that, if in two triang...

Is it true to say that, if in two triangles, 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 the triangles are similar? Give reason for your answer.

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To determine whether the statement is true or false, we need to analyze the conditions provided regarding the two triangles. ### Step-by-Step Solution: 1. **Understanding the Given Information**: We have two triangles, let's call them Triangle 1 (with vertices A, B, C) and Triangle 2 (with vertices D, E, F). The statement tells us that: - One angle of Triangle 1 is equal to one angle of Triangle 2. - Two sides of Triangle 1 are proportional to two sides of Triangle 2. ...
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NCERT EXEMPLAR-TRIANGLES-Triangles
  1. D is a point on side QR of DeltaPQR such that PDbotQR. Will it be corr...

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  2. In figure, if angleD=angleC, then it is true that DeltaADE~DeltaACB? W...

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  3. Is it true to say that, if in two triangles, an angle of one triangle ...

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  4. In P Q R ,\ \ Q M|P R and PR^2-P Q^2=Q R^2.Prove that Q M^2=P MxxM R

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  5. Find the value of x for which DEabs()AB in given figure.

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  6. In figure, if angle1=angle2 and DeltaNSQ=DeltaMTR, then prove that Del...

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  7. Diagonals of a trapezium PQRS intersect each other at the point 0 ,PQa...

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  8. In figure , if ABabs()DC and AC, PQ intersect each other at the point ...

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  9. Find the altitude of an equilateral triangle of side 8 cm.

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  10. If DeltaABC~DeltaDEF, AB=4cm, DE=6,EF=9 cm and FD=12 cm, then find the...

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  11. In figure, if DEabs()BC, then find the ratio of ar (DeltaADE) and ar(D...

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  12. ABCD is a trapezium in which ABabs()DC and P,Q are points on AD and BC...

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  13. Corresponding sides of two triangles are in the ratio 2\ :3 . If th...

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  14. In a Delta PQR, N is a point on PR, such that QNbotPR. If PNcdotNR=QN^...

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  15. The areas of two similar triangles are 36\ c m^2 and 100\ c m^2 . I...

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  16. In given figure, if angleACB=angleCDA,AC=8cm and AD=3 cm, then find BD...

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  17. A 15 high tower casts a sshadow 24 long at a certain time at the same ...

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  18. Foot of a 10 m long ladder leaning against a verticle wall is 6 m away...

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  19. In given figure, if angleA=angleC, AB= 6 cm, BP = 15 cm, AP = 12 cm an...

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  20. It is given that DeltaABC~DeltaEDF such that AB=5 cm, AC=7 cm, DF= 15...

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