CBSE Class 5 Mathematics Shapes And Angles Worksheet Set 03

Question 1. Which of these shapes are symmetrical? Draw the lines of symmetry.
Answer: Shapes (b), (c), and (d) are symmetrical. Shape (a) is asymmetric because its left and right halves do not match.
- Shape (b) has 1 vertical line of symmetry down the center.
- Shape (c) (the leaf) has 1 vertical line of symmetry down the midrib.
- Shape (d) (the hourglass/ribbon shape) has 2 lines of symmetry: 1 vertical line and 1 horizontal line passing through the center.
In simple words: A shape is symmetrical if it can be folded into two identical halves. Shapes (b), (c), and (d) are symmetrical, while (a) is not.

Exam Tip: Look for mirror halves. Always check both vertical and horizontal directions for lines of symmetry.

Question 2. Draw the reflection of the given shapes on the dark line.
Answer: The reflection of each shape is obtained by flipping it across the dark mirror line so that every point is the same perpendicular distance on the opposite side.
- For the first shape (pot/urn), the reflection mirrors the curved handle and body across the vertical line.
- For the second shape, the curved contour is flipped across the vertical line.
- For the third shape, the two small rectangles are reflected across the central vertical line.
- For the fourth shape (crescent/shield with a vertical line), the shape is reflected across the vertical axis.
In simple words: A reflection is like looking in a mirror. The flipped shape matches the original shape reversed left-to-right across the line.

Exam Tip: Measure equal distances from the mirror line for key vertices to draw accurate reflections.

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

In simple words: A \(\frac{1}{4}\) turn rotates a letter by 90 degrees, and a \(\frac{1}{2}\) turn rotates it by 180 degrees.

Exam Tip: Remember that a \(\frac{1}{2}\) turn is equivalent to turning upside down.

Question 4. Study the patterns and draw the next figure.
Answer:
(a) The arrow rotates by \(\frac{1}{4}\) turn (90 degrees) clockwise in each step: Up -> Right -> Down ->
Next figure: Arrow pointing Left (←).
(b) The balloon and string rotates by \(\frac{1}{4}\) turn clockwise in each step.
Next figure: Balloon with the string pointing straight down.
(c) The hourglass/bow-tie shape rotates by \(\frac{1}{4}\) turn in each step.
Next figure: A vertical hourglass shape.
(d) The figure shows a figure-eight rotation pattern.
Next figure: Complete figure-eight or matching cycle orientation.
In simple words: Find the rule of rotation or movement in the given sequence and apply it to draw the next step.

Exam Tip: Always check the direction of rotation (clockwise or counter-clockwise) and the angle of turn between consecutive shapes.

Question 5. Which of the following will look the same after a \(\frac{1}{2}\) turn? (Tick the ones that will)
Answer: A shape looks the same after a \(\frac{1}{2}\) turn (180 degrees) if it has rotational symmetry of order 2 or higher.
- (a) Trapezium: Does NOT look the same (turns upside down).
- (b) Parallelogram: Looks the SAME after a \(\frac{1}{2}\) turn (Tick this).
- (c) Right-angled triangle: Does NOT look the same.
- (d) Shield/Pentagon shape: Does NOT look the same.
- (e) Diamond/Rhombus: Looks the SAME after a \(\frac{1}{2}\) turn (Tick this).
- (f) Multiplication sign (X): Looks the SAME after a \(\frac{1}{2}\) turn (Tick this).
- (g) Tick mark: Does NOT look the same.
- (h) Triangle with inner square: Does NOT look the same.
Correct Ticked Options: (b), (e), (f)
In simple words: Shapes like parallelograms, rhombuses, and an X look exactly identical when turned upside down (\(\frac{1}{2}\) turn).

Exam Tip: Point-symmetric shapes or shapes with opposite parallel sides usually look the same after a \(\frac{1}{2}\) turn.