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Standard IX

Mathematics

Trapezium

PQ=1.28cm, PR...

Question

$P Q = 1.28 c m, P R = 2.56 c m, P E = 0.18 c m$ and $P F = 0.36 c m$

True

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False

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Solution

The correct option is A True
Given PQ=1.28 cm,PR=2.56 cm,PE=0.18 cm and PF=0.36 cm where E and F are points on PQ and PR respectively.
Now, $\frac{P E}{P Q} = \frac{0.18}{1.28} = \frac{9}{64}$
$\frac{P F}{P R} = \frac{0.36}{2.56} = \frac{9}{64}$
thus, $\frac{P E}{P Q} = \frac{P F}{P R}$
By converse of equal Intercept theorem, $E F ∥ Q R$

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Similar questions

E

and

F

are points on the sides

P Q

and

P R

respectively of a

△ P Q R

. For each of the following cases, state whether

E F ∥ Q R

P Q = 1.28 c m, P R = 2.56 c m, P E = 0.18 c m

and

P F = 0.36 c m

Question 2 (iii)
E and F are points on the sides PQ and PR respectively of a $Δ P Q R$ . For the following case, state whether EF || QR.
(iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.63 cm

E and F are points on the sides PQ and PR respectively of a ΔPQR. For each of the following cases, state whether EF || QR.

(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm

(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm

(iii)PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.63 cm

E

and

F

are points on the sides

P Q

and

P R

respectively of a

Δ P Q R

. For each of the following cases state whether

E F ∥ Q R

(1)

P E = 3.9 c m, E Q = 3 c m, P F = 3.6 c m a n d F R = 2.4

(2)

P E = 4 c m, Q E = 4.5 c m, P F = 8 c m a n d R F = 9 c m

(3)

P Q = 1.28 c m PR = 2.56 c m, P E = 0.18 c m a n d P F = 0.36 c m

M and N are points on the sides PQ and PR respectively of a $Δ P Q R$ . For each of the following cases, whether MN || QR:
(i) PM = 4 cm, QM = 4.5 cm, PN = 4 cm, NR = 4.5 cm
(ii) PQ =1.28 cm, PR = 2.56 cm, PM = 0.16 cm, PN = 0.32 cm

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PQ=1.28cm,PR=2.56cm,PE=0.18cm and PF=0.36cm

The correct option is A TrueGiven PQ=1.28 cm,PR=2.56 cm,PE=0.18 cm and PF=0.36 cm where E and F are points on PQ and PR respectively.Now, PEPQ=0.181.28=964PFPR=0.362.56=964thus, PEPQ=PFPRBy converse of equal Intercept theorem, EF∥QR

$P Q = 1.28 c m, P R = 2.56 c m, P E = 0.18 c m$ and $P F = 0.36 c m$