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
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.
Select one option. Answers are shown after the test.
Question 2 of 10

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 one option. Answers are shown after the test.
Question 3 of 10
The slanting line crosses three parallel vertical lines. If the acute angle at \(E\) is \(55^\circ\), what is the sum of the corresponding obtuse angles at \(B\) and \(D\)?
Three parallel lines cut by one slanting lineAB, CD and EF are parallel; B, D and E are collinear. The acute angle at E is given and the obtuse angle at B is required.ABCDEF55°??
The arcs make the two angle regions unambiguous.
Select one option. Answers are shown after the test.
Question 4 of 10
Which candidate crease through \(P\) is parallel to the existing diagonal crease \(d\)?
Choosing a parallel creaseA square sheet contains diagonal crease d and point P. Three candidate crease directions a, b and c pass through P.crease dPabc
Choose the candidate with the same direction as crease d.
Select one option. Answers are shown after the test.
Question 5 of 10

Reason (R): Parallel alignment requires the corresponding angles to be equal.

Assertion (A): The \(74^\circ\) corresponding angle must be reduced by \(2^\circ\) to match the \(72^\circ\) angle.

Transversal angle questionTwo lines l and m cut by transversal t, with marked angle arcs.lmtparallel?72°74°
The coloured arcs identify the given and required angles.
Select one option. Answers are shown after the test.
Question 6 of 10

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.
Select one option. Answers are shown after the test.
Question 7 of 10
Adjacent angles are \((5x-7)^\circ\) and \((3x+11)^\circ\). Find the larger angle.
Intersecting-line angle questionTwo lines intersect at O. Clearly drawn arcs mark the given and required angles.O(5x−7)°?
The purple arc is given; the dashed amber arc is required.
Select one option. Answers are shown after the test.
Question 8 of 10

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.
Select one option. Answers are shown after the test.
Question 9 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 10 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.
Select one option. Answers are shown after the test.