NCERT Solutions for Class 4 Maths Chapter 11 Fun with Symmetry (PDF) – 2027

I folded the paper, dropped some colours near the fold, folded it again and pressed it. When I opened it, the same design was on both sides of the fold.

Yes, it is a symmetrical pattern. The part on the left of the fold matches the part on the right.

Along the fold — a straight line down the middle of the design.

Yes. A line that divides a design into two matching halves is called its line of symmetry.

In all three figures, the line of symmetry is the middle crease, from top to bottom.

1 line of symmetry — the straight line from the middle of the top edge down to the middle of the bottom edge.

Stand the mirror on the middle crease (the line of symmetry), facing the right half. Yes, the reflection looks exactly like the left half.

I held my plane below the wings and threw it gently forward. It flew straight for about 6 steps and then glided down.

It will not fly well. Without a line of symmetry, the plane turns to one side and falls quickly.

I made the plane and then cut about 2 cm off one wing only. Now the two halves do not match, so my plane has no line of symmetry.

The symmetrical plane flew for a longer time.

The plane with a line of symmetry flew straight and stayed up longer. The plane without a line of symmetry turned to one side and fell soon. So symmetry helps a plane fly well.

I folded a square sheet in half, in half again, and then along the corner to make a triangle. I snipped small bits off its edges and opened it. The same cut appeared many times and made a symmetrical design like Mini’s.

When the paper is opened:

• all 4 corners are cut off;
• 2 holes appear inside, on the middle fold line — one above the centre and one below it;
• 4 notches appear on the sides — 2 on the left side and 2 on the right side.

4 sides. The two cuts on the fold open into a diamond-shaped hole with 4 sides.

Cut at the corner where both folds meet. 2 cuts are needed — two straight cuts that snip off a small square.

The completed design is an X-shaped cross. Copy each corner the same number of dots below the middle row and join the points.

The completed design is an eight-pointed star. Copy each corner the same number of dots to the right of the middle column and join the points.

Draw the same group of loops on the right, like its mirror image. Draw it again at the top and at the bottom, turned on its side. The finished kolam has 4 matching groups.

All four shapes are symmetrical. Each has 1 line of symmetry, straight down the middle.

Stand the mirror on shape A as shown. The part in front of the mirror and its reflection together make the shape.

Circle both boxes with 181. Do not circle the boxes with 686 — in a mirror the 6 turns backwards or upside down.

0, 1 and 8 (mirror kept at the side).

With the mirror kept above or below: 0, 1, 3 and 8.

Keep the mirror at the side. Use only 0, 1 and 8, and make the number read the same from both ends.

1001, 1111, 1881, 8008, 8118, 8888 — so 6 such numbers can be made.

118, with the mirror kept below (or above) the number. 1, 1 and 8 look the same upside down, and a mirror below does not change their order.

(111 also works, with the mirror at the side.)

“Guess my number. It is a 3-digit number near 800 whose mirror image is the same number. Where is the mirror kept?” — Answer: 808, with the mirror at the side.

The word AMBULANCE is written back to front (mirror writing). A driver in front sees the ambulance in the rear-view mirror, which turns the word the right way round. So the driver can read it and give way.

CAT. The mirror was kept above (or below) the word — the letters are upside down but still in the order C, A, T.

TAP, CAN, WOW, HEN.

I wrote MILK, RANI and BUS in mirror writing. My friends read them by keeping a mirror at the side.

Yes. Sample answer: I wrote माँ and घर in mirror writing. My friends read them by keeping a mirror at the side.

close each part into a shape that folds into two matching halves (added lines are dashed red).

Each shape in the first box has 3 sides (6 triangles). Each shape in the second box has 4 sides (8 four-sided shapes).

Lines of symmetry of each shape:

Tile: a square made of 2 rectangles. Two lying rectangles and two standing rectangles take turns, and each row starts the other way. Repeating unit: the block of 8 rectangles marked in red.

I filled one hexagon with 6 triangles, coloured orange and yellow by turns. I filled a square with 8 triangles, blue and yellow by turns, like a pinwheel.

I used triangles and rhombuses. The outer shapes of the tiles are hexagons and squares.

Tile 2 (6 triangles in two shades of orange, by turns) is symmetrical. It has 3 lines of symmetry, each from the middle of one side to the middle of the opposite side.

I joined 2 triangles to make a rhombus tile. I traced it 10 times in a row to make a path with no gaps and no overlaps.

Both designs are made of the same rhombus tiles, placed in the same way, with no gaps or overlaps. Only the colours are different. With three colours (second design), every 3 rhombuses look like a box (cube).

Mini’s pattern uses rhombuses and triangles in rows: rhombus, triangle pointing up, rhombus, triangle pointing down. The next row is a flipped copy, so there are no gaps and no overlaps.

Sample answer: I traced my tile in rows, sliding it along each time, until the grid was covered.

I cut the ears-and-head strip off the top of the square, slid it down and taped it to the bottom. Then I traced this cat tile again and again and drew the faces.

I made 12 cat tiles in two colours and covered a chart paper with no gaps or overlaps. I also cut a wavy piece off the bottom of a square, taped it to the top, and made a wall with that tile.

I saw that a butterfly, a peepal leaf and a hibiscus flower were symmetrical, but a broken leaf and a pebble were not. I collected 10 fallen leaves, some petals and a few dry flowers.

Fold each leaf along its middle vein. If the two halves match, the leaf is symmetrical.

I put one yellow flower in the middle of the page and 8 leaves around it, the same on every side, and pasted them. My design had matching halves.

I folded a chart paper into a card. I painted the back of some leaves and pressed them on the card — 3 leaves on each side. I wrote “Happy Birthday” inside.

I made a butterfly with 4 leaves — two big wings on top and two small ones below, with a thin twig as its body. It had 1 line of symmetry down the middle.