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Byju's Answer

Standard XII

Mathematics

Condition for Two Lines to Be Parallel

Four pupils e...

Question

Four pupils each made a statement about the given figure.
Jyoti : "I can see $6$ pairs of perpendicular lines".
Harsha : "There are $7$ angles in the figure".
Jiya : "There is only one pair of parallel lines".
Harsha : " $6$ of the angles are less than a right angle".
Which pupil make the correct statement?

Jyoti

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Harsha

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Jiya

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Harsh

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Solution

The correct option is A Jyoti
Here, $6$ pairs of perpendicular lines are CB $⊥$ AB, BC $⊥$ CD, ED $⊥$ CD, DE $⊥$ EF, FG $⊥$ EF and FG $⊥$ HG.

Hence Jyoti made the correct statement..

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Similar questions

Q. Four girls each made a statement about the given figure.
Sanchi : "I can see

6

pairs of perpendicular lines".
Trishika: "There are

7

angles in the figure".
Sidakl: "There is only one pair of parallel lines".
Mini: "

6

of the angles are less than a right angle".
Which girl made the CORRECT statement?

Q. In the given figure, two parallel lines are intersected by a transversal. The pairs,

∠ 2

∠ 6

and

∠ 4

∠ 8

are __________ .

Which of the following statements is/are correct regarding

{I F}_{5}

molecule?

(I) There is only one lone pair present in equatorial

(II) All

∠ F I F

angles are identical

(III) There are eight faces in this molecule

(IV) The number

∠ F I F

angles less than

90^{0}

is 8

Fill in the blanks in each of the following to make the statement true:
(i) If two parallel lines are intersected by a transversal then each pair of corresponding angles are ___
(ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are ___
(iii) Two lines perpendicular to the same line are ___ to each other.
(iv) Two lines parallel to the same line are to ___ each other.

(v) If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are ___
(vi) If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is $180^{0}$ , then the lines are ___

Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary.

Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary.

Choose one or more correct option(s).

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Four pupils each made a statement about the given figure.Jyoti : "I can see 6 pairs of perpendicular lines".Harsha : "There are 7 angles in the figure".Jiya : "There is only one pair of parallel lines".Harsha : "6 of the angles are less than a right angle".Which pupil make the correct statement?

The correct option is A JyotiHere, 6 pairs of perpendicular lines are CB⊥ AB, BC ⊥ CD, ED ⊥ CD, DE⊥ EF, FG⊥ EF and FG ⊥ HG.Hence Jyoti made the correct statement..

The correct option is A Jyoti
Here, $6$ pairs of perpendicular lines are CB $⊥$ AB, BC $⊥$ CD, ED $⊥$ CD, DE $⊥$ EF, FG $⊥$ EF and FG $⊥$ HG.

Hence Jyoti made the correct statement..