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Standard X

Mathematics

Division of a Line Segment

The postulate...

Question

The postulate used in the division of line segment to draw $A_{3} C$ parallel to $A_{5} B$ is :

Corresponding angles are equal

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Alternate interior angles are equal

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Co-interior angles are supplementary

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Perpendicular bisector theorem

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Solution

The correct option is A Corresponding angles are equal

Here we use the principle that when corresponding angles are equal, the lines are parallel.
$∠ A A_{3} C = ∠ A A_{5} C$ as $A_{3} C$ is parallel to $A_{5} B$

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Similar questions

The postulate used in the division of line segment to draw

A_{3} C

parallel to

A_{5} B

is :

Q. In the given image, segment

A B

has been divided in the ratio

3 : 2

. This is done by
1) Drawing

∠ B A X

2) marking equal lengths

A A_{1}, A_{1} A_{2}, A_{2} A_{3}, A_{3} A_{4} & A_{4} A_{5}

3) Point

A_{5}

is joint to point B
4)

A_{3} C

is drawn parallel to

A_{5} B

by using which of the properties of parallel lines?

Q. In the given image, segment

A B

has been divided in the ratio

3 : 2

. This is done by
1) Drawing

∠ B A X

2) marking equal lengths

A A_{1}, A_{1} A_{2}, A_{2} A_{3}, A_{3} A_{4} & A_{4} A_{5}

3) Point

A_{5}

is joint to point B
4)

A_{3} C

is drawn parallel to

A_{5} B

by using which of the properties of parallel lines?

Q. Draw a line segment

X Y = 7 c m

. Take a point

A

outside

X Y

. Draw a line parallel to

X Y

and passing through

A

Q. Draw a line segment

P Q = 6.5

cm. Take any point

M

outside it. Using ruler and compasses, draw a line through

M

parallel to

P Q

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The postulate used in the division of line segment to draw A3C parallel to A5B is :

The correct option is A Corresponding angles are equal Here we use the principle that when corresponding angles are equal, the lines are parallel. ∠AA3C=∠AA5C as A3C is parallel to A5B

The postulate used in the division of line segment to draw $A_{3} C$ parallel to $A_{5} B$ is :

The correct option is A Corresponding angles are equal

Here we use the principle that when corresponding angles are equal, the lines are parallel.
$∠ A A_{3} C = ∠ A A_{5} C$ as $A_{3} C$ is parallel to $A_{5} B$