Q1 of 49 Page 26

Select the appropriate alternative.

If in ΔDEF and ΔPQR, ∠D ≅ ∠Q, ∠R ≅ ∠E then which of the following statements is false?


In Δ DEF & Δ PQR


∠ D≅ ∠ Q and ∠ R≅ ∠ E (Given)


⇒ Δ DEF ~ Δ PQR


⇒ (corresponding sides are proportional)


(A) is matching the solution, hence can’t be false.


(C) is matching the solution, hence can’t be false.


(D) is matching the solution, hence can’t be false.

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7

In figure 1.66, seg PQ || seg DE, A(Δ PQF) = 20 units, PF = 2 DP, then find A(DPQE) by completing the following activity.

A(Δ PQF) = 20 units, PF = 2 DP, Let us assume DP = x. ∴ PF = 2x



In Δ FDE and Δ FPQ,


∠FDE ≅ ∠ .......... corresponding angles


∠FED ≅ ∠ ......... corresponding angles


∴ Δ FDE ~ Δ FPQ .......... AA test



 1

Select the appropriate alternative.

In Δ ABC and ΔPQR, in a one to one correspondence then


 1

Select the appropriate alternative.

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


 1

Select the appropriate alternative.

ΔABC and ΔDEF are equilateral triangles, A(ΔABC) : A(ΔDEF) = 1 : 2. If AB = 4 then what is length of DE?