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

Assertion Reasoning Quiz · Class 7 · Maths · CBSE

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Chapter 5 Class 7 - Parallel and Intersecting Lines (Ganita Prakash) | 6 questions | about 5 minutes

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

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Question 1 of 6
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Question 1 of 6

Reason (R): Solving \(4x+54=6x+24\) gives \(x=12\).

Assertion (A): The marked vertically opposite angles give \(x=15\).

Opposite-angle assertionTwo opposite obtuse arcs contain the expressions 4x plus 54 and 6x plus 24.O(4x+54)°(6x+24)°
Judge the stated value of x from the equal arcs.
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Question 2 of 6

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 3 of 6

Reason (R): At the upper intersection, vertically opposite angles are equal.

Assertion (A): Two equal \(72^\circ\) corresponding angles establish that the two lines are parallel.

Transversal angle questionTwo lines l and m cut by transversal t, with marked angle arcs.lmtparallel?72°72°
The coloured arcs identify the given and required angles.
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Question 4 of 6

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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Question 5 of 6

Reason (R): Equating the corresponding angles gives \(4x+12=6x-20\), so \(x=16\).

Assertion (A): The scaffold-angle equation gives \(x=14\).

Scaffold-angle assertionCorresponding angles on parallel rails carry expressions.lmt(4x+12)°(6x−20)°
Check the claimed algebraic result.
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Question 6 of 6

Reason (R): \(28^\circ+37^\circ+25^\circ=90^\circ\).

Assertion (A): The missing part of the shown right angle is \(25^\circ\).

A right angle split into three marked partsA right angle at O is divided by two rays. Each part has a visible arc.O28°37°?
The square marks 90°. The dashed amber arc is required.
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