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Properties of Parallel Lines MATHS - Properties of Parallel Lines

Gujarat Board (GSEB) - STD 7 - MATHS (GSEB - English Medium). 20 questions in this chapter.

Question types

Properties of Parallel Lines question types

20 questions across 3 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

20
Questions
3
Question groups
5
Question types
Sample Questions

Properties of Parallel Lines questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): When two parallel lines are intersected by a transversal, two pairs of alternate interior angles are formed.
Reason (R): When two parallel lines are intersected by a transversal, four pairs of consecutive interior angles are formed.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • ✓
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: C.

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Q 2Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): When two parrallel lines are intersected by a transversal, the angles of any pair of alternate interior angles are supplementary.
Reason (R): When two parallel lines are intersected by a transversal, the angles of any pair of corresponding angles are equal.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) is true.

Answer: D.

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Q 3Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): Two lines which are parallel to the same line are parallel to each other.
Reason (R): Two lines which are perpendicular to the same line are perpendicular to each other.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • ✓
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: C.

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Q 45 Marks Questions5 Marks
In the given figure $\text{l || m}$ and t is a transversa. If $\angle1\ \text{and}\ \angle2$ are in the ratio $5 : 7$ find the measure of each of the angles $\angle1,\ \angle2,\ \angle3\ \text{and}\ \angle8.$
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Q 55 Marks Questions5 Marks
In the given figure, $AB || CD, \angle\text{ABE}=120^\circ,\ \angle\text{ECD}=100^\circ$ and $\angle\text{BEC}=\text{x}^\circ.$ Find the value of $x.$
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Q 65 Marks Questions5 Marks
In the given figure $\text{l}\ ||\ \text{m}$ and t is a transversal. If $\angle5=70^\circ$ find the measure of each of the angles $\angle1,\ \angle3,\ \angle4\ \text{and}\ \angle8.$
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Q 75 Marks Questions5 Marks
In the given figure, $\text{l || m}$ and $\text{p || q}$ Find the measure of each of the angles $\angle\text{a},\angle\text{b},\angle\text{c}\ \text{and}\ \angle\text{d}.$
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Q 85 Marks Questions5 Marks
Two parallel lines $l$ and $m$ are cut by a transversal $t.$ If the interior angles of the same side of t be $(2x - 8)o$ and $(3x - 7)o,$ find the measure of each of these angles.
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Q 113 Marks Question3 Marks
In the given figure, $AB \| DC$ and $AD \| BC$, and $AC$ is a diagonal. If $\angle\text{BAC}=35^\circ,\ \angle\text{CAD}=40^\circ,\ \angle\text{ACB}=\text{x}^\circ$ and $\angle\text{ACD}=\text{y}^\circ,$ find the values of $x$ and $y.$
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Q 123 Marks Question3 Marks
In the adjoining figure, it is given that $AB \| CD$, $\angle\text{ABO}=50^\circ$ and $\angle\text{CDO}=40^\circ.$ Find the measure of $\angle\text{BOD}.$
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Q 133 Marks Question3 Marks
In the given figure $\angle\text{B}=65^\circ$ and $\angle\text{C}=45^\circ$ in $\triangle\text{ABC}$ and $\text{DAF}\ ||\ \text{BC}.$ If $\angle\text{DAB}=\text{x}^\circ$ and $\angle\text{EAC}=\text{y}^\circ,$ find the values of $x$ and $y.$
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