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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): 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 2 of 6

Reason (R): \(\angle DAB=180^\circ-60^\circ=120^\circ\), and \(120^\circ-65^\circ=55^\circ\).

Assertion (A): In the quadrilateral, \(\angle CAB=55^\circ\).

Parallel-sided quadrilateral angle problemAB is parallel to CD, AD is parallel to BC, and diagonal AC divides the angle at A.ABCD65°60°?
Every marked value is attached to its exact angle arc.
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Question 3 of 6

Reason (R): Each of these four angles measures \(135^\circ\).

Assertion (A): \(\angle2+\angle4+\angle6+\angle8=180^\circ\).

Acute-angle sum assertionA visibly obtuse angle is 135 degrees and every position is numbered.lmt∠1∠2∠3∠4135°∠6∠7∠8
Judge the claimed sum of the four acute positions.
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Question 4 of 6

Reason (R): The diagonal \(AC\) divides \(\angle DAB\) into \(\angle DAC\) and \(\angle CAB\).

Assertion (A): If \(\angle ADC=64^\circ\), then \(\angle ABC=64^\circ\).

Parallel-sided quadrilateral angle problemAB is parallel to CD, AD is parallel to BC, and diagonal AC divides the angle at A.ABCD64°?
Every marked value is attached to its exact angle arc.
Select an option to see the answer, or skip this question.
Question 5 of 6

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.
Select an option to see the answer, or skip this question.
Question 6 of 6

Reason (R): Using auxiliary parallels gives \((103^\circ-38^\circ)+47^\circ=112^\circ\).

Assertion (A): The broken-line angle \(\angle NOP\) is \(103^\circ\).

Broken line between parallel linesLM is parallel to PQ. Broken line M-N-O-P has clearly marked arcs at M, N, O and P.MNOP38°103°47°?
Find the dashed amber angle at O.
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