Are these practice questions for Parallel and Intersecting Lines based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 7 Mathematics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Parallel and Intersecting Lines free?

Yes. Every chapter includes free practice questions for Class 7 students to get you started.

What types of questions are included?

The practice set for Parallel and Intersecting Lines mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Parallel and Intersecting Lines for full coverage.

How many practice questions are there for Parallel and Intersecting Lines?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Parallel and Intersecting Lines Class 7 Mathematics Practice Questions with Answers

easy

Critique the statement: "If two lines are on the same plane, they must either intersect or be parallel." Justify your answer.

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easy

Define parallel lines.

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easy

Two straight lines, PQ and RS, intersect at point T. If the measure of

\angle PT S

is

115^\circ

, calculate the measure of

\angle RTQ

.

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easy

Name the special pair of adjacent angles that add up to

180^\circ

when two lines intersect.

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easy

Formulate a concise rule to determine if two lines are parallel, using only the concept of interior angles on the same side of a transversal.

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easy

List three real-life examples of parallel lines.

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easy

Explain the relationship between corresponding angles when a transversal intersects two parallel lines.

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easy

State the condition for two lines to be parallel, based on their corresponding angles when intersected by a transversal.

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easy

In a figure, line l is parallel to line m. Formulate a proof to show that the sum of the interior angles on the same side of the transversal t (e.g.,

\angle 3 + \angle 5

) is

180^\circ

. You may use the established property that corresponding angles are equal when lines are parallel.

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easy

In the figure, line

p

is parallel to line

q

. The transversal

t

intersects them at points A and B. If

\angle 1 = (3x - 20)^\circ

and

\angle 2 = (2x + 10)^\circ

, solve for

x

and find the measure of both angles. (

\angle 1

and

\angle 2

are alternate interior angles).

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easy

What is a transversal?

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easy

Identify the relationship between vertically opposite angles formed by two intersecting lines.

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easy

In the given figure, line

a

is parallel to line

b

and line

t

is the transversal. If

\angle 2 = 68^\circ

, calculate the measure of

\angle 6

.

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easy

What is the measure of each angle when two lines are perpendicular to each other?

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medium

In the figure provided, line

l \parallel m

and line

p \parallel q

. Analyze the figure to calculate the values of angles

x, y,

and

z

given that one angle is

75^\circ

.

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medium

Summarize the three main angle relationships that are true when a transversal intersects two parallel lines.

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medium

Explain what a linear pair of angles is and state the sum of the angles in a linear pair.

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medium

Evaluate the claim: "When two lines intersect, it is possible for exactly three of the four angles formed to be obtuse." Justify your reasoning.

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medium

Describe the two main properties of angles formed when any two straight lines intersect at a point.

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medium

Evaluate the relationship between the angles of a triangle and parallel lines. Prove that the sum of the angles in any triangle is

180^\circ

by constructing a line parallel to one of its sides through the opposite vertex. Justify each step of your proof using the properties of parallel lines and transversals.

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medium

List all pairs of vertically opposite angles and all linear pairs from a diagram where lines

l

and

m

intersect, forming angles labeled a, b, c, d in a clockwise direction starting from the top right.

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medium

A line

t

intersects two lines

l

and

m

. If a pair of corresponding angles measures

85^\circ

and

95^\circ

respectively, analyze the relationship between lines

l

and

m

.

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medium

Describe the key differences between intersecting lines, perpendicular lines, and parallel lines. Use geometric terms in your explanation.

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medium

Design a method using only paper folding to create a line perpendicular to a given crease l that passes through a specific point P on the crease. Justify why the resulting fold is perpendicular.

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medium

Examine the figure where line

l

is parallel to line

m

. If

\angle 3 = 125^\circ

, calculate the measure of

\angle 5

.

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medium

Propose a real-world scenario where you would need to create a line parallel to another line, and briefly justify the method.

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medium

In the given diagram, line

l

is parallel to line

m

. A transversal

t

intersects them. If the interior angles on the same side of the transversal are

(5y + 5)^\circ

and

(4y + 4)^\circ

, solve for

y

and calculate the measure of each angle.

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medium

In the figure, is line AB parallel to line CD? Examine the given angles and justify your answer.

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medium

Justify why two distinct lines in a plane that are both perpendicular to the same third line must be parallel to each other. Use the concept of corresponding angles in your justification.

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medium

A student claims that if two lines l and m are intersected by a transversal t, and one pair of corresponding angles are equal, then all four pairs of corresponding angles must also be equal. Justify this claim using the properties of linear pairs and vertically opposite angles.

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medium

Create a problem where two parallel lines are cut by a transversal, and the measures of two interior angles on the same side of the transversal are given as

(3x - 15)^\circ

and

(2x + 25)^\circ

. Formulate the equation and justify your reasoning to find the measure of both angles.

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medium

If a transversal intersects two parallel lines and one angle is

65^\circ

, explain how to find the measure of its corresponding angle, its alternate interior angle, and its vertically opposite angle.

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medium

In a figure, two parallel lines are intersected by a transversal. If one of the interior angles on the same side of the transversal is

70^\circ

, calculate its consecutive interior angle.

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medium

Lines AB and CD intersect at point O. If

\angle AOC + \angle BOD = 130^\circ

, analyze the figure to calculate the measures of

\angle AOC

,

\angle COB

, and

\angle AOD

.

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hard

In the given figure, PQ

\parallel

RS and the transversal XY intersects them at A and B respectively. If ray AC is the bisector of

\angle PAB

and ray BD is the bisector of

\angle ABS

, demonstrate that AC is parallel to BD.

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hard

Explain the concepts of 'vertically opposite angles' and 'linear pairs' formed by two intersecting lines. Use a diagram where lines AB and CD intersect at point O to identify all pairs of each type and describe their properties.

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hard

Create a proof for the statement: "If a transversal intersects two lines such that a pair of interior angles on the same side of the transversal are supplementary (add up to

180^\circ

), then the two lines are parallel." You must justify your proof using the axiom that "if corresponding angles are equal, then lines are parallel."

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hard

Design a problem based on the provided figure. In the figure, line AB is parallel to CD. Lines AF and BG intersect at E. Given

\angle BAE = 35^\circ

and

\angle ABE = 45^\circ

. Propose a multi-step method to find the measure of

\angle FGE

and justify each step.

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hard

Two parallel lines l and m are intersected by a transversal t. Formulate a proof to show that the bisectors of a pair of alternate interior angles are parallel to each other.

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hard

Critique the following argument: "In

\triangle ABC

, I draw a line DE through point A parallel to side BC. Therefore,

\angle DAB

is equal to

\angle ABC

. This means that whenever you have a transversal (AB) cutting two lines (DE and AC), the angles formed are equal." Identify the flaw in the reasoning and provide the correct justification.

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hard

In the figure, DE is parallel to BC. If

\angle ADE = 75^\circ

and

\angle ABC = 50^\circ

, analyze the figure to calculate the measure of

\angle BAC

.

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hard

In the figure,

AB \parallel CD

. A point P is located between the parallel lines. Given

\angle BAP = 35^\circ

and

\angle DCP = 45^\circ

, calculate the measure of

\angle APC

. (Hint: Draw a line through P parallel to AB and CD).

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hard

Two parallel lines

l

and

m

are intersected by a transversal

t

. The bisectors of a pair of interior angles on the same side of the transversal intersect at a point P. Analyze the angle formed by the bisectors and determine its measure.

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hard

Justify why it is impossible for two distinct straight lines to intersect at exactly two different points.

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hard

In the given figure, ABCD is a quadrilateral where AB is parallel to DC and AD is parallel to BC. If

\angle DAB = 110^\circ

, analyze the properties of the figure to calculate the measures of

\angle ADC

,

\angle DCB

, and

\angle CBA

.

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Parallel and Intersecting LinesClass 7 Mathematics Practice Questions