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It is given that DeltaDEF~DeltaRPQ. Is i...

It is given that `DeltaDEF~DeltaRPQ`. Is it true to say that `angleD = angleR` and `angleF= angleP`? Why?

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To determine whether the statements `angle D = angle R` and `angle F = angle P` are true, we will analyze the properties of similar triangles. ### Step-by-Step Solution: 1. **Understanding Similar Triangles**: We are given that triangle DEF is similar to triangle RPQ, denoted as `ΔDEF ~ ΔRPQ`. This means that the corresponding angles of these triangles are equal, and the sides are in proportion. **Hint**: Recall the definition of similar triangles and the properties that come with them. ...
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NCERT EXEMPLAR-TRIANGLES-Triangles
  1. If S is a point on side PQ of a DeltaPQR such that PS=QS=RS, then

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  2. Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Giv...

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  3. It is given that DeltaDEF~DeltaRPQ. Is it true to say that angleD = an...

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  4. A and B are respectively the points on the sides PQ and PR of a Delta ...

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  5. In figure BD and CE intersect each other at the point P. IsDeltaPBC~De...

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  6. In DeltaPQR and DeltaMST, angleP=55^(@),angleQ=25^(@),angleM=100^(@)an...

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  7. Is the following statement true? Why? "Two quadrilaterals are similar,...

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  8. Two sides and the perimeter of one triangle are respectively three tim...

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  9. If in two right triangles, one of the acute angles of one triangle is ...

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  10. The ratio of the corresponding altitudes of two similar triangles is 3...

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  11. D is a point on side QR of DeltaPQR such that PDbotQR. Will it be corr...

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

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

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

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

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

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

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

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

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