CBSE Class 5 Mathematics Symmetrical Designs Worksheet Set 02

Fill in the Blanks

Question. The character 'E' possesses a _____ line of symmetry.
Answer: horizontal
Explanation: If you fold the letter 'E' right across the middle from left to right, the top part and bottom part cover each other perfectly.

Question. A windmill firki looks unchanged after every _____ of a full turn.
Answer: 1/4 (quarter)
Explanation: Because a firki has four identical blades placed evenly, turning it one-quarter of a circle (90 degrees) makes each blade take the place of the next one.

Question. Design A created using leaf prints looks identical after every _____ turn.
Answer: 1/4
Explanation: The leaves point up, down, left, and right like a plus sign (+), so spinning it by a quarter turn looks just like the starting picture.

Question. A 2-digit number that exhibits both reflection and rotational symmetry is _____.
Answer: 88 (or 11)
Explanation: If you turn the number 88 upside down, it still reads 88. If you fold it along the center, both sides match like twins!

Question. The letter 'X' displays rotational symmetry at both 1/4 turn and _____ turn.
Answer: 1/2
Explanation: An 'X' with equal arms matches after a quarter spin and also after half a spin (turning completely upside down).

Question. Design B with four heart-shaped petals features _____ symmetry as well as rotational symmetry.
Answer: reflection
Explanation: You can place a mirror straight down the middle of the design, and the reflection completes the exact other half.

True or False

Question. The letter 'Y' looks identical after a 1/2 turn.
Answer: False
Explanation: If you turn the letter 'Y' upside down, the two open branches point down and the stem points up, so it does not look like a normal 'Y'.

Question. The digit '8' has both a horizontal and a vertical axis of symmetry.
Answer: True
Explanation: You can fold the number 8 across the middle waistline or right down the center, and both halves match in both directions.

Question. A 2×2 checkered grid with opposite colored squares looks the same after a 1/4 turn.
Answer: False
Explanation: A quarter turn rotates the colored squares into the positions of the white squares. It only looks the same after a 1/2 turn.

Question. The alphabet letter 'H' shows rotational symmetry after a half turn.
Answer: True
Explanation: Turning the letter 'H' upside down (a 1/2 turn) gives the exact same letter 'H'.

Question. The digit '7' has a vertical line of symmetry.
Answer: False
Explanation: The number 7 has a top bar and a slanted side, so folding it in any direction will never make two matching halves.

Question. A design that looks unchanged 4 times during a complete circle turn has 1/4 turn rotational symmetry.
Answer: True
Explanation: A full circle has 4 quarters; matching every quarter turn means it matches 4 times in one full spin.

Questions / Short Question Answers

Question. Which alphabet letters can be created by drawing just one quarter (1/4) of the shape and using two folds?
Answer: Letters X, O, and H
Explanation: Because these letters have both vertical and horizontal symmetry, you can fold a paper into 4 layers, draw just one-fourth of the letter, and cut it out all at once!

Question. Can you provide two examples of 3-digit numbers that have both reflection and rotational symmetry?
Answer: 101 and 808
Explanation: If you read 101 or 808 in a mirror or flip them upside down, they look completely unchanged.

Question. Does a windmill firki remain the same after a 3/4 turn?
Answer: Yes
Explanation: A firki has 4 equal blades arranged symmetrically, so after 1/4, 1/2, 3/4, or a full turn, it always matches its starting look.

Question. Consider a shape built from 4 squares and 4 equilateral triangles attached to the sides. At what turn does this shape have rotational symmetry?
Answer: At a 1/2 turn (half turn)
Explanation: Because the shape is wider across than it is tall, you must turn it a full half-circle (upside down) for it to fit into its original shape.

Question. Which single letter among E, T, and V has only a horizontal line of symmetry?
Answer: Letter E
Explanation: Folding 'E' across the middle gives two matching halves. In contrast, 'T' and 'V' have vertical lines of symmetry going down the middle.

Question. Does an asymmetrical pinwheel pattern with 3 triangles pointing out and 1 circle at the right have rotational symmetry?
Answer: No, it does not have rotational symmetry.
Explanation: Because the circle is on only one side, turning the shape will move the circle to the top, left, or bottom, so it never matches the starting picture until a full 360-degree spin.

Question. What common kitchen vegetables can be sliced to create symmetrical stamps for printing?
Answer: Ladyfinger (okra) and potatoes
Explanation: Cutting a ladyfinger crosswise reveals a natural star shape with five equal points, making a lovely symmetrical stamp when dipped in paint!

Match the Following

Question. Match each capital letter to its behavior during quarter, half, three-quarter, and complete turns:

Explanation: Letters like 'H' and 'I' only look the same when flipped upside down (1/2 turn). A symmetric 'X' looks the same after every quarter turn. Letter 'Y' only looks the same after a full 360-degree spin.

Vocabulary Activity - "Guess the Word"

Question. Guess the Word: I am an imaginary fold line that divides a picture into two identical mirror halves. What am I?
Answer: Line of symmetry
Explanation: When you fold along this line, both halves fit over each other perfectly with nothing sticking out.

Question. Guess the Word: I am a four-bladed paper toy that spins rapidly when held in the wind and looks identical at every quarter turn. What am I?
Answer: Firki (Windmill / Pinwheel)
Explanation: A firki has four blades that spin around a central pin when you blow on it or run with it.

Question. Guess the Word: I am the special property of a shape that looks exactly the same after being turned around a fixed center point. What am I?
Answer: Rotational symmetry
Explanation: If a shape matches its starting position before finishing a full 360-degree spin, it has rotational symmetry.

Question. Guess the Word: I am a straight line of symmetry that runs left-to-right across a figure like the horizon. What am I?
Answer: Horizontal line of symmetry
Explanation: Horizontal means lying flat like the floor or the edge of a table, dividing a shape into an upper half and a lower half.

Question. Guess the Word: I am a traditional art technique where carved wooden pieces are pressed onto cloth to create repeating symmetrical patterns. What am I?
Answer: Block printing
Explanation: Artisans dip hand-carved wooden blocks into ink and stamp them onto cloth in neat, repeating patterns.