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Maths Parallel and Intersecting Lines - Chapter 5 Class 7 (Ganita Prakash) MCQ and Assertion Questions

10 Question MCQ (including Assertion) · Class 7 · Maths · CBSE

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Chapter 5 Class 7 - Parallel and Intersecting Lines (Ganita Prakash) | 10 questions | about 8 minutes

Practise Parallel and Intersecting Lines - Chapter 5 Class 7 (Ganita Prakash) with Teachoo's 10 Question MCQ (including Assertion) (Class 7 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
Two unmarked lines form equal alternate interior angles of \(58^\circ\). Which conclusion is forced?
Alternate-angle line testTwo unmarked lines have equal alternate interior arcs of 58 degrees.lmtparallel?58°58°
Use the marked positions to decide whether the lines must be parallel.
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Question 2 of 10
Alternate interior angles are \((3x+6)^\circ\) and \((5x-30)^\circ\). Find their common measure.
Alternate angles on two slanting parallel linesTwo arrow-marked slanting lines are parallel and a horizontal transversal forms two alternate interior angles.(3x+6)°(5x−30)°
The two curved arcs mark the exact alternate-angle pair.
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Question 3 of 10
If \(\angle7=3\angle8\), find \(\angle2\).
Reverse ratio on parallel linesAt the lower intersection angle 7 is three times angle 8; angle 2 is required.lmt?3x partsx part
Use the lower linear pair, then transfer the acute value upward.
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Question 4 of 10

Reason (R): \(\angle DAB=48^\circ+60^\circ=108^\circ\), so \(\angle ADC=72^\circ\).

Assertion (A): In the reverse quadrilateral problem, \(\angle ADC=68^\circ\).

Parallel-sided quadrilateral angle problemAB is parallel to CD, AD is parallel to BC, and diagonal AC divides the angle at A.ABCD48°60°?
Every marked value is attached to its exact angle arc.
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Question 5 of 10
In the marked figure, \(l\parallel m\) and \(\angle3=112^\circ\). Find \(\angle5\).
Transversal angle questionParallel lines l and m cut by transversal t, with marked angle arcs.lmt112°?
The coloured arcs identify the given and required angles.
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Question 6 of 10
Line \(t\) through \(A\) is perpendicular to \(l\). What angle must line \(m\) through \(A\) make with \(t\) so that \(m\parallel l\)?
Logical construction through a pointLine t through A is perpendicular to l. A candidate line m through A is to be fixed.lAtm through A
Decide the angle m must make with t so that m is parallel to l.
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Question 7 of 10

Reason (R): Since \(l\perp t\), line \(m\) must also make \(90^\circ\) with \(t\) to be parallel to \(l\).

Assertion (A): A line \(m\) through \(A\) making \(60^\circ\) with \(t\) will be parallel to \(l\).

Logical construction through a pointLine t through A is perpendicular to l. A candidate line m through A is to be fixed.lAtm through A
Decide the angle m must make with t so that m is parallel to l.
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Question 8 of 10
Adjacent angles \(\angle a\) and \(\angle d\) are in the ratio \(2:3\). Find the vertically opposite angle \(\angle c\).
Ratio at an intersectionAdjacent angles a and d are in the ratio 2 to 3; angle c is required.O2 parts?3 parts
The curved arcs show which ratio parts are adjacent and which angle is opposite.
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Question 9 of 10
A line through a fixed point must be parallel to \(l\). A transversal makes a \(67^\circ\) corresponding angle with \(l\). What corresponding angle should be built at the fixed point?
Transversal angle questionTwo lines l and m cut by transversal t, with marked angle arcs.lmtparallel?67°?
The coloured arcs identify the given and required angles.
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Question 10 of 10

Reason (R): They imply parallelism because \(70^\circ=110^\circ\).

Assertion (A): The \(70^\circ\) and \(110^\circ\) same-side interior angles imply that the lines are parallel.

Supplementary-interior assertionTwo left-side interior arcs on unmarked lines are 70 and 110 degrees.lmtparallel?70°110°
Judge the conclusion and its proposed reason.
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