CBSE Class 5 Mathematics Shapes And Angles Worksheet Set 02

Question 1. Which of these shapes are symmetrical? Draw the lines of symmetry.
(a) Pentagon shape with uneven base
(b) Upward pointing arrow
(c) Leaf shape
(d) Hourglass or bow-tie shape
Answer:
Shapes (b), (c), and (d) are symmetrical. Shape (a) is asymmetrical due to its uneven base.
- Shape (b) has 1 vertical line of symmetry down the center.
- Shape (c) has 1 vertical line of symmetry down the center.
- Shape (d) has 2 lines of symmetry (1 vertical and 1 horizontal).
In simple words: Shapes are symmetrical if you can fold them in half so that both sides match perfectly.

Exam Tip: Always look for both vertical and horizontal lines of symmetry in geometric figures.

Question 2. Draw the reflection of the given shapes on the dark line.
(a) Curved hook shape facing right with a vertical mirror line
(b) Curved cup shape with a vertical mirror line on the right
(c) Two small boxes with a vertical mirror line in between
(d) Curved shape with a vertical mirror line on the left
Answer:
The reflection of each shape is a mirror image flipped across the dark line.
- For (a), the reflected shape curves to the left facing the mirror line.
- For (b), the reflected shape mirrors the cup opening to the left.
- For (c), the two boxes reflect symmetrically across the center line.
- For (d), the reflected shape mirrors outward to the right.
In simple words: A reflection is like looking in a mirror where left becomes right and right becomes left.

Exam Tip: Keep the perpendicular distance from any point on the shape to the mirror line equal to the distance of its reflected point.

Question 3. Draw how these letters will look after these turns.

Answer:
A \(\frac{1}{4}\) turn is a 90-degree rotation, and a \(\frac{1}{2}\) turn is a 180-degree rotation.
- Letter A: \(\frac{1}{4}\) turn points right, \(\frac{1}{2}\) turn points down.
- Letter H: \(\frac{1}{4}\) turn lies horizontally, \(\frac{1}{2}\) turn remains identical to H.
- Letter F: \(\frac{1}{4}\) turn points downwards, \(\frac{1}{2}\) turn points left and upside down.
- Letter C: \(\frac{1}{4}\) turn opens downwards, \(\frac{1}{2}\) turn opens to the right.
- Letter S: \(\frac{1}{4}\) turn looks squashed, \(\frac{1}{2}\) turn remains identical to S.
In simple words: A quarter turn rotates the shape sideways by 90 degrees, and a half turn flips it completely upside down by 180 degrees.

Exam Tip: Remember that 1 complete rotation equals 360 degrees, so \(\frac{1}{4}\) turn = 90 degrees and \(\frac{1}{2}\) turn = 180 degrees.

Question 4. Study the patterns and draw the next figure.
(a) Arrow pointing up, Arrow pointing right, Arrow pointing down, [Next figure]
(b) Balloon shape pointing up, Balloon shape tilted right, Balloon shape pointing down, [Next figure]
(c) Hourglass with vertical lines, Hourglass rotated, Hourglass with vertical lines, [Next figure]
(d) Figure eight vertical, Figure eight horizontal (infinity symbol), Figure eight vertical, [Next figure]
Answer:
(a) Arrow pointing left
(b) Balloon shape tilted left
(c) Hourglass rotated
(d) Figure eight horizontal (infinity symbol)
In simple words: Look closely at how each figure rotates step by step to predict the next position in the sequence.

Exam Tip: Identify the rule of rotation (such as 90-degree clockwise turns) to solve pattern sequences easily.

Question 5. Which of the following will look the same after a \(\frac{1}{2}\) turn? (Tick the ones that will)
(a) Trapezium shape
(b) Parallelogram shape
(c) Right-angled triangle
(d) Regular pentagon
(e) Oval shape
(f) Multiplication cross (X)
(g) Tick mark (✔)
(h) Triangle with a square inside
Answer:
Shapes (b), (e), and (f) will look the exact same after a \(\frac{1}{2}\) turn (180-degree rotation).
- (b) Parallelogram: Rotates to look identical.
- (e) Oval: Rotates to look identical.
- (f) Multiplication cross (X): Rotates to look identical.
In simple words: Shapes with point symmetry or central rotational symmetry look identical when turned upside down.

Exam Tip: Shapes like a parallelogram and multiplication cross have 180-degree rotational symmetry, meaning they look the same upside down.