Question 6 If in two - DEF and - PQR - - D - Q and - R - E- then which of the following is not true-A EF - PR - DF - pOB DE - PQ - EF PP - RPC DE - QR - C - POD EF - RP - DE - QR

(B) DE/PQ=EF/RP Given, in Δ DEF and Δ PQR,∠ D=∠ Q,∠ R=∠ E ∴ Δ DEF∼Δ QRP [ by AAA similarity criterion ] ⇒ ∠ F=∠ P [ corresponding angles of similar triangle ...

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Standard IX

Mathematics

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Question 6 If...

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Question 6
If in two $Δ D E F a n d Δ P Q R, ∠ D = ∠ Q a n d ∠ R = ∠ E$ , then which of the following is not true?

(A) $\frac{E F}{P R} = \frac{D F}{P Q}$
(B) $\frac{D E}{P Q} = \frac{E F}{R P}$
(C) $\frac{D E}{Q R} = \frac{D F}{P Q}$
(D) $\frac{E F}{R P} = \frac{D E}{Q R}$

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Solution

(B) $\frac{D E}{P Q} = \frac{E F}{R P}$

Given, in $Δ D E F a n d Δ P Q R, ∠ D = ∠ Q, ∠ R = ∠ E$

$∴ Δ D E F \sim Δ Q R P$ [ by AAA similarity criterion ]
$\Rightarrow ∠ F = ∠ P$ [ corresponding angles of similar triangles ]
$∴ \frac{D F}{Q P} = \frac{E D}{R Q} = \frac{E F}{P R}$

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Similar questions

Q. Question 6
If in two

Δ D E F a n d Δ P Q R, ∠ D = ∠ Q a n d ∠ R = ∠ E

, then which of the following is not true?

(A)

\frac{E F}{P R} = \frac{D F}{P Q}

(B)

\frac{D E}{P Q} = \frac{E F}{R P}

(C)

\frac{D E}{Q R} = \frac{D F}{P Q}

(D)

\frac{E F}{R P} = \frac{D E}{Q R}

Q. If

△

DEF

≅

△

PQR, then,

Q. If in two triangles

P Q R

and

D E F

P R = E F

Q R = D E

and

P Q = F D

, then

△ P Q R ≅

△

___.

Which of the following pairs of triangles are congruent ? In each case, state the condition of congruency:

(a) In $Δ A B C$ and $Δ D E F$ , $A B = D E, B C = E F$ and $∠ B =$ $∠ E$ .

(b) In $Δ A B C$ and $Δ D E F$ , $∠ B =$ $∠ E =$ $90^{0}$ , $A C = D F$ and $B C = E F$ .

(d) In $Δ A B C$ and $Δ P Q R$ , $A B = P Q, A C = P R$ and $B C = Q R$ .

(e) In $Δ A B C$ and $Δ P Q R$ , $B C = Q R$ , $∠ A =$ $90^{\circ}$ , $∠ C =$ $∠ R =$ $40^{\circ}$ and $∠ Q =$ $50^{\circ}$ .

Question 5
In the following figure, DE||OQ and DF||OR, show that EF||QR.

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Question 6 If in two ΔDEF and ΔPQR,∠D=∠Q and ∠R=∠E, then which of the following is not true? (A) EFPR=DFPQ (B) DEPQ=EFRP (C) DEQR=DFPQ ​​​​​​(D) EFRP=DEQR

(B) DEPQ=EFRP Given, in ΔDEF and ΔPQR,∠D=∠Q,∠R=∠E ∴ ΔDEF∼ΔQRP [ by AAA similarity criterion ] ⇒ ∠F=∠P [ corresponding angles of similar triangles ] ∴ DFQP=EDRQ=EFPR

Question 6
If in two $Δ D E F a n d Δ P Q R, ∠ D = ∠ Q a n d ∠ R = ∠ E$ , then which of the following is not true?

(A) $\frac{E F}{P R} = \frac{D F}{P Q}$
(B) $\frac{D E}{P Q} = \frac{E F}{R P}$
(C) $\frac{D E}{Q R} = \frac{D F}{P Q}$
(D) $\frac{E F}{R P} = \frac{D E}{Q R}$