Samacheer Kalvi Class 4 Maths Solutions Term 2 Chapter 1 Geometry Exercise 1.2

Tamilnadu Samacheer Kalvi 4th Maths Solutions Term 2 Chapter 1 Geometry Ex 1.2

A. Draw the Lines of Symmetry in Each of the Following Figures.

Question 1.Answer:In simple words: A line of symmetry divides a shape into two mirror-like halves. For this leaf shape, only one vertical line can split it perfectly in half, so both sides look exactly the same if you fold it. It's like finding the exact middle where one side perfectly matches the other.

🎯 Exam Tip: Imagine folding the figure along different lines. If both halves match perfectly, that's a line of symmetry.

Question 2.Answer:In simple words: This semi-circle has only one line of symmetry. This line goes straight up and down through the middle, dividing the curved part and the straight base into two equal parts. This line perfectly bisects the shape.

🎯 Exam Tip: For curved shapes like semicircles, the line of symmetry always passes through the midpoint of its straight edge and the center of its arc.

Question 3.Answer:In simple words: A square is a special shape with four equal sides and four equal angles. Because of this, it has four lines of symmetry: two that go through the middle of opposite sides (like a plus sign) and two that go through its opposite corners (diagonally). This property makes squares highly symmetrical.

🎯 Exam Tip: Remember that all regular polygons (like squares, equilateral triangles, and regular hexagons) have lines of symmetry equal to the number of their sides.

Question 4.Answer:In simple words: The letter 'H' has two lines of symmetry. One line goes straight down the middle vertically, and the other line goes straight across the middle horizontally. Both lines divide the 'H' into two perfectly matching halves. This makes 'H' a symmetrical letter.

🎯 Exam Tip: Many uppercase letters in the alphabet have lines of symmetry. You can test by imagining where you could fold the letter to make both sides match.

B. How Many Lines of Symmetry for the Following Figures

Question 1.Answer: 4
In simple words: A square has four lines of symmetry. You can fold it in half vertically, horizontally, and along both diagonal lines, and each time the halves will match perfectly. These four lines ensure the square looks the same from many angles.

🎯 Exam Tip: Always count both the axial (across the middle of sides) and diagonal lines when finding symmetry for shapes like squares.

Question 2.Answer: 2
In simple words: A rectangle has two lines of symmetry. One line runs vertically through the middle of its length, and the other runs horizontally through the middle of its width. You cannot fold it diagonally to match perfectly. This means a rectangle is not as symmetrical as a square.

🎯 Exam Tip: Unlike squares, rectangles do not have diagonal lines of symmetry unless they are also squares.

Question 3.Answer: 4
In simple words: This flower-like shape has four lines of symmetry. These lines pass through the center, cutting each petal exactly in half and also passing between the petals. This arrangement gives it a balanced and harmonious look.

🎯 Exam Tip: Complex symmetrical designs often have multiple lines of symmetry. Look for patterns in how the parts are arranged around a central point.

Question 4.Answer: 2
In simple words: The X-shaped cross has two lines of symmetry. These lines are the same as the diagonal lines that form the 'X' itself. If you fold it along these lines, both halves will perfectly match. This shape shows rotational symmetry as well.

🎯 Exam Tip: An 'X' shape is symmetrical along its own intersecting lines. Some letters, like 'X', 'O', 'I', have both horizontal and vertical symmetry.