Grade 7 : Mathematics (Ganita Prakash) - 7. Three Intersecting Lines (Set 6)

Question 1

Three lines L1, L2, and L3 intersect at a single point P.

If the angle between L1 and L2 is $35^\circ$and the angle between L2 and L3 is$45^\circ$, what is the measure of the angle between L1 and L3 if they are on opposite sides of L2?

Accepted Answer

A) $80^\circ$

Answer

B) $10^\circ$

Answer

C) $70^\circ$

Answer

D) $90^\circ$

Question 2

Assertion (A): Three lines can intersect at exactly three points if no two are parallel. Reason (R): Any two lines intersect at one point unless they are parallel. Choose the correct option.

Accepted Answer

B) Both A and R are true but R is not the correct explanation.

Answer

A) Both A and R are true and R is the correct explanation.

Answer

C) A is true, R is false.

Answer

D) A is false, R is true.

Question 3

In a set of three lines where two are parallel and the third is a transversal, how many total interior angles are formed?

Accepted Answer

C) 8

Answer

A) 4

Answer

B) 6

Answer

D) 12

Question 4

If line L1 is perpendicular to L2 and L2 is perpendicular to L3, what is the relationship between L1 and L3?

Accepted Answer

A) L1 is parallel to L3

Answer

B) L1 is perpendicular to L3

Answer

C) L1 and L3 intersect at $45^\circ$

Answer

D) L1 and L3 are skew

Question 5

When three lines are concurrent, how many points of intersection exist?

Accepted Answer

D) 1

Answer

A) 3

Answer

B) 2

Answer

C) 0

Question 6

Given three lines, what is the maximum number of intersection points possible?

Accepted Answer

B) 3

Answer

A) 2

Answer

C) 4

Answer

D) 6

Question 7

If a line intersects two parallel lines, the alternate interior angles are:

Accepted Answer

A) Equal

Answer

B) Complementary

Answer

C) Supplementary

Answer

D) None of these

Question 8

Which of the following describes the angles formed on the same side of a transversal intersecting two parallel lines?

Accepted Answer

C) Supplementary

Answer

A) Always equal

Answer

B) Always $90^\circ$

Answer

D) None of these

Question 9

If three lines are not concurrent and no two are parallel, how many triangles are formed?

Accepted Answer

A) 1

Answer

B) 2

Answer

C) 3

Answer

D) 0

Question 10

Assertion (A): Vertically opposite angles are equal. Reason (R): When two lines intersect, they form two pairs of vertically opposite angles.

Accepted Answer

B) Both A and R are true and R is the correct explanation.

Answer

A) A is false, R is true.

Answer

C) Both A and R are true but R is not the correct explanation.

Answer

D) A is true, R is false.

Question 11

In the context of three intersecting lines, if line A intersects B and C, and B is parallel to C, how many distinct intersection points are there?

Accepted Answer

C) 2

Answer

A) 1

Answer

B) 3

Answer

D) 0

Question 12

Two lines are cut by a transversal. If the corresponding angles are $70^\circ$and$80^\circ$, are the lines parallel?

Accepted Answer

A) No

Answer

B) Yes

Answer

C) Cannot determine

Answer

D) Only if they are perpendicular

Question 13

How many degrees are in the sum of all angles around the point of intersection of three concurrent lines?

Accepted Answer

B) $360^\circ$

Answer

A) $180^\circ$

Answer

C) $720^\circ$

Answer

D) $270^\circ$

Question 14

If two lines are parallel and a third line is perpendicular to one, it is also:

Accepted Answer

D) Perpendicular to the other

Answer

A) Parallel to the other

Answer

B) Skew to the other

Answer

C) Indeterminate

Question 15

Which of the following is true for non-parallel lines?

Accepted Answer

A) They must intersect at some point.

Answer

B) They never intersect.

Answer

C) They are always perpendicular.

Answer

D) They have no angles between them.

Question 16

If three lines are concurrent, what can you say about the angles between them?

Accepted Answer

C) Vertically opposite pairs are equal

Answer

A) All are $60^\circ$

Answer

B) The sum of adjacent angles is $360^\circ$

Answer

D) They must be $90^\circ$

Question 17

If the sum of interior angles on one side of a transversal is $150^\circ$, are the lines parallel?

Accepted Answer

D) No

Answer

A) Yes

Answer

B) Only if the other side is $150^\circ$

Answer

C) Yes, if they are equal

Question 18

Which set of angles is always equal when a transversal cuts two parallel lines?

Accepted Answer

A) Corresponding angles

Answer

B) Interior angles on the same side

Answer

C) Consecutive angles

Answer

D) None of these

Question 19

In a triangle formed by three lines, the sum of exterior angles is:

Accepted Answer

B) $360^\circ$

Answer

A) $180^\circ$

Answer

C) $540^\circ$

Answer

D) $720^\circ$

Question 20

Can three lines be parallel to each other and still intersect?

Accepted Answer

A) No

Answer

B) Yes, at infinity

Answer

C) Yes, if they are skewed

Answer

D) Only in 3D space

Set 10Grade 7 : Mathematics (Ganita Prakash) - Three Intersecting Lines

Grade 7 : Mathematics (Ganita Prakash) - Three Intersecting Lines

Examination Instructions:

Discussion 0

Rating & Discussion Locked

Set 10Grade 7 : Mathematics (Ganita Prakash) - Three Intersecting Lines

Grade 7 : Mathematics (Ganita Prakash) - Three Intersecting Lines

Examination Instructions:

Discussion 0

Rating & Discussion Locked

Set 10Grade 7 : Mathematics (Ganita Prakash) - Three Intersecting Lines

Grade 7 : Mathematics (Ganita Prakash) - Three Intersecting Lines

Examination Instructions:

Share This Quiz

Discussion 0

Rating & Discussion Locked

More Quizzes for Grade 7

Grade 7 : Mathematics (Ganita Prakash) - Geometric Twins

Grade 7 : Mathematics (Ganita Prakash) - Large Numbers Around Us

Grade 7 : Science (Curiosity) - Electricity

Grade 7 : Mathematics (Ganita Prakash) - Working with Fractions

Grade 7 : Mathematics (Ganita Prakash) - Large Numbers Around Us

Grade 7 : Science (Curiosity) - Adolescence

Set 10Grade 7 : Mathematics (Ganita Prakash) - Three Intersecting Lines

Grade 7 : Mathematics (Ganita Prakash) - Three Intersecting Lines

Examination Instructions:

Share This Quiz

Discussion 0

Rating & Discussion Locked

More Quizzes for Grade 7

Grade 7 : Mathematics (Ganita Prakash) - Geometric Twins

Grade 7 : Mathematics (Ganita Prakash) - Large Numbers Around Us

Grade 7 : Science (Curiosity) - Electricity

Grade 7 : Mathematics (Ganita Prakash) - Working with Fractions

Grade 7 : Mathematics (Ganita Prakash) - Large Numbers Around Us

Grade 7 : Science (Curiosity) - Adolescence