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Dilations

PE=3.9cm, EQ=...

Question

$P E = 3.9 c m, E Q = 3 c m, P F = 3.6 c m$ and $F R = 2.4 c m$ . If $E F ∥ Q R$ enter 1 else enter 0

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Solution

In the figure,
$\frac{P E}{E Q} = \frac{3.9}{3} = 1.3$
$\frac{P F}{F R} = \frac{3.6}{2.4} = \frac{3}{2} = 1.5$
$\Rightarrow$ $\frac{P E}{E Q} \neq \frac{P F}{F R}$
$\Rightarrow$ is not $∥$ ' $Q R$

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Similar questions

E

F

P Q

P R

△ P Q R

E F ∥ Q R

P E = 3.9 c m

E Q = 1.3 c m

P F = 3.6 c m

F R = 2.4 c m

Δ P Q R

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∥

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

F

P Q

P R

Δ P Q R

E F ∥ Q R

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

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

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

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