Teachoo MCQ Test

10 Question MCQ (including Assertion)

Preparing for CBSE

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

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 960
Question 1 of 10
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Question 1 of 10

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.
Select one option. Answers are shown after the test.
Question 2 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.
Select one option. Answers are shown after the test.
Question 3 of 10
Alternate interior angles are \((5x-16)^\circ\) and \((3x+20)^\circ\). If they are equal, which result is correct?
Algebraic alternate-angle line testTwo unmarked lines have alternate interior angle expressions.lmtparallel?(5x−16)°(3x+20)°
Solve their equality, then decide the line relationship.
Select one option. Answers are shown after the test.
Question 4 of 10
Same-side interior angles on two unmarked lines are \(70^\circ\) and \(110^\circ\). What follows?
Supplementary interior line testThe left-side interior arcs are 70 and 110 degrees on unmarked lines.lmtparallel?70°110°
Work through the adjacent lower angle before deciding parallelism.
Select one option. Answers are shown after the test.
Question 5 of 10

Reason (R): From \(C\) to \(P\), the movement is two columns right and one row up.

Assertion (A): Segment \(CP\) is parallel to \(AB\).

Parallel segment on a dot gridSegment AB, point C and three candidate endpoints P, Q and R are shown on a dot grid.ABCPQR
Choose the endpoint that makes the new segment parallel to AB.
Select one option. Answers are shown after the test.
Question 6 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.
Select one option. Answers are shown after the test.
Question 7 of 10

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.
Select one option. Answers are shown after the test.
Question 8 of 10
At intersection \(O\), \(\angle a=117^\circ\). Find the adjacent angle \(\angle b\).
Intersecting-line angle questionTwo lines intersect at O. Clearly drawn arcs mark the given and required angles.O117°?
The purple arc is given; the dashed amber arc is required.
Select one option. Answers are shown after the test.
Question 9 of 10
If \(\angle5=135^\circ\), what is \(\angle2+\angle4+\angle6+\angle8\)?
All acute angles on parallel linesOne visibly obtuse angle is 135 degrees; all angle positions are numbered.lmt∠1∠2∠3∠4135°∠6∠7∠8
Identify the four acute positions before adding them.
Select one option. Answers are shown after the test.
Question 10 of 10

Reason (R): The equality creates an equal corresponding pair, so the two lines are parallel.

Assertion (A): The equal \(58^\circ\) alternate interior angles show that the two lines are perpendicular.

Alternate-angle assertionTwo unmarked lines form equal alternate interior arcs.lmtparallel?58°58°
Judge whether they are perpendicular or parallel.
Select one option. Answers are shown after the test.