NCERT Ganita Prakash, Class 7, textbook pages 175–208 (Part 1)

How to teach Class 7 Maths Chapter 5, Parallel and Intersecting Lines, at home

Angles formed by intersecting and parallel lines, taught with things you already have at home: a 20-minute activity, a game for the week, a 5-day plan and the mistakes to watch for.

∥parallel lines cut by a transversal

NCERT Class 7 Maths Chapter 5 Parallel and Intersecting Lines: what it teaches

Your child folds paper to make intersecting and parallel lines, finds that vertically opposite angles are equal, and studies angles made when a transversal cuts parallel lines: corresponding and alternate angles are equal.

Why it matters later. Angle facts with parallel lines are used in triangles (next chapter), quadrilaterals in Class 8 and proofs later.

See it: this chapter in pictures

70°70°110°110°vertically opposite angles are equal
Opposite angles match; neighbours add to 180°.
65°65°corresponding angles are equal
F-shape: corresponding angles.
aaalternate angles are equal (Z-shape)
Z-shape: alternate angles.

You need

  • square paper
  • a ruler and protractor
  • a set square

Tonight’s 20 minutes

  1. Fold paper twice to make two intersecting creases. Measure the four angles.
  2. Draw two parallel lines using a set square and ruler.
  3. Draw a transversal and measure all eight angles. Which are equal?
  4. Find parallel lines at home: rail tracks, notebook lines, window bars.

Words to use

  • intersecting
  • parallel
  • transversal
  • vertically opposite
  • corresponding
  • alternate
  • linear pair

Watch for

  • Assuming lines are parallel because they look it. Check that corresponding angles are equal.
  • Mixing alternate and corresponding angles. Alternate make a Z shape; corresponding make an F shape.

What it sounds like at home

A short example of the conversation. Your words will differ; the questions are what matter.

YouOne angle is 70°. The opposite?

Your child70°, and the neighbours are 110°.

A game for this week: Angle hunter

  1. Draw two parallel lines and a transversal.
  2. One player gives one angle measure.
  3. The other fills in all eight angles fastest.
  4. Check with a protractor.

A 5-day plan, 20 minutes a day

  1. Day 1Fold intersecting lines.
  2. Day 2Draw parallel lines.
  3. Day 3Transversal angles.
  4. Day 4Parallel lines at home.
  5. Day 5Angle hunter game.

Everyday moments to practise

  • Railway tracks.
  • Zebra crossings.
  • Window grills.
  • Road junctions.

Quick check

Ask these at the end of the week. Tap to see the answer.

If one angle at an intersection is 70°, what is the vertically opposite angle?

70°.

And the angle next to it?

110°.

A transversal makes a corresponding angle of 65° with one parallel line. The other?

65°.

Ready for the next chapter when your child…

  • Knows vertically opposite angles are equal.
  • Identifies corresponding and alternate angles.
  • Uses angle facts to find unknowns.

Activities, wording and illustrations are Mathify Kids’ own, following the topics of NCERT’s Ganita Prakash (Class 7). See the full Class 7 parent guide for every chapter.

Questions parents ask

What are vertically opposite angles?

The opposite angles formed when two lines cross; they are equal.

What is a transversal?

A line cutting two or more lines.

What is a linear pair?

Two adjacent angles on a straight line; they add to 180°.