Question

draw a line segment AB of 4 cm in length. Draw a line perpendicular to AB through A and B respectively. Are these lines parallel?​

Answer 1

Yes  lines perpendicular to AB through A and B respectively are Parallel

Step-by-step explanation:

Step 1 :  Draw a line segment AB - 4 cm with the help of ruler

Step 2 : Draw an angle of 90° using protector / setsquare at A . Draw a line AP

Step 3 : Draw an angle of 90° using protector / setsquare at B , Draw a line BQ

AP ║ BQ

Yes These lines are Parallel

if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversel and inside the parallel lines, are equal, then the lines are parallel

Yes  lines perpendicular to AB through A and B respectively are Parallel

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Answer 2

As shown in the figure perpendicular line $AC\ and\ BD$ on $AB$ are parallel.

Step-by-step explanation:

Given,

Draw a line segment $AB=4\ cm$ and draw a line perpendicular to $AB$ through $A$ and $B$ respectively.

Following steps:

• Draw a line segments $AB=4\ cm$ using scale.
• At $A\ and\ B$, draw $90\ degree$ angle using setsquare such that $AC\perp AB$ and $BD\perp AB$
• As shown in the figure line $AC\parallel BD$

Since, As shown in the figure perpendicular line $AC\ and\ BD$ on $AB$ are parallel.