Refer the image below:

The horizontal lines will be parallel if

$∠$ 1 = $∠$ 4

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$∠$ 2 = $∠$ 5

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$∠$ 4 = $∠$ 6

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$∠$ 1 = $∠$ 5

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Solution

The correct options are
B
$∠$ 2 = $∠$ 5

C
$∠$ 4 = $∠$ 6

(A) $∠$ 1 = $∠$ 4 (vertically opposite angles)

This condition alone is not sufficient.

(B) $∠$ 2 = $∠$ 5 (corresponding angles)

If two corresponding angles are equal, then the lines are said to be parallel.

(C) $∠$ 4 = $∠$ 6 (Alternate interior angles)

If two alternate interior angles are equal, then the lines are said to be parallel.

(D) $∠$ 1 = $∠$ 5

This condition is not right.

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Similar questions

If the image of the point P(1, -2, 3) in the plane 2x+3y-4z+22=0 measured parallel to the line $\frac{x}{1} = \frac{y}{4} = \frac{z}{5}$ is Q, then PQ is equal to

Q. If the image of the point

P (1, - 2, 3)

in the plane,

2 x + 3 y - 4 z + 22 = 0

measured parallel to the line,

\frac{x}{1} = \frac{y}{4} = \frac{z}{5}

Q,

then

P Q

is equal to

Q. The line

(3 x - y + 5) + λ (2 x - 3 y - 4) = 0

will be parallel to y-axis, if

λ

A = (1, 2, 3), B = (4, 5, 7), C = (- 4, 3, - 6), D = (2, k, 2)

are four points. If the lines

A B

and

C D

are parallel, then

k =

Q. Find the equation of the plane containing the line

\frac{x - 1}{3} = \frac{y + 6}{4} = \frac{z + 1}{2}

and parallel to the line

\frac{x - 2}{2} = \frac{y - 1}{- 3} = \frac{z + 4}{5}

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Refer the image below: The horizontal lines will be parallel if

Refer the image below:

The horizontal lines will be parallel if