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Very Short Question Answers: Parallel and Intersecting Lines | Mathematics (Ganita Prakash) Class 7 - New NCERT PDF Download

Q1: Define vertically opposite angles. Are they always equal?
Ans: Vertically opposite angles are the angles opposite each other when two lines intersect. Yes, they are always equal.

Q2: Two angles form a linear pair. If one is 125°, find the other.
Ans: The other angle = 180° − 125° = 55°

Q3: Name a pair of lines that never intersect.
Ans: Parallel lines

Q4: A transversal cuts two lines and ∠1 = ∠5. What kind of angles are these, and what can you conclude about the lines?
Ans: Corresponding angles; the lines are parallel.Very Short Question Answers: Parallel and Intersecting Lines | Mathematics (Ganita Prakash) Class 7 - New NCERT

Q5: If ∠x and ∠y are supplementary and ∠x = 2∠y, find the angles.
Ans: ∠y = 60°, ∠x = 120°

Q6: ∠3 and ∠6 are equal and lie between two lines on opposite sides of the transversal. What type are they?
Ans: Alternate interior angles

Q7: Which angles lie between the two lines and on the same side of a transversal?
Ans: Co-interior (or consecutive interior) angles

Q8: How many pairs of corresponding angles are formed when a transversal cuts two lines?
Ans: 4 pairsVery Short Question Answers: Parallel and Intersecting Lines | Mathematics (Ganita Prakash) Class 7 - New NCERT

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FAQs on Very Short Question Answers: Parallel and Intersecting Lines - Mathematics (Ganita Prakash) Class 7 - New NCERT

1. What are parallel lines?
Ans. Parallel lines are lines in a plane that never meet or intersect, no matter how far they are extended. They are always the same distance apart.
2. How can we identify intersecting lines?
Ans. Intersecting lines are lines that cross each other at a point. The point where they cross is called the intersection point.
3. What is the angle formed by two intersecting lines?
Ans. When two lines intersect, they form two pairs of opposite angles, also known as vertical angles, which are equal in measure. The angles adjacent to each other are supplementary, adding up to 180 degrees.
4. Can parallel lines ever intersect?
Ans. No, parallel lines can never intersect. By definition, they are always equidistant from each other and will not meet at any point.
5. How do you determine if two lines are parallel in a coordinate plane?
Ans. In a coordinate plane, two lines are parallel if they have the same slope. If the slopes of the two lines are equal, they will not intersect and are therefore parallel.
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