CBSE Class 5 Mathematics Symmetrical Designs Worksheet Set 01

Fill in the Blanks

Question. Traditional block printing is an art of ________.
Answer: Rajasthan
Explanation: Artisans in Rajasthan are famous for using carved wooden blocks to press colorful, repeating patterns onto fabric.

Question. The line that divides a figure into two identical mirror halves is called the ________ of symmetry.
Answer: line
Explanation: When you fold a picture right along this line, the two halves fit over each other perfectly like a mirror reflection.

Question. Digits such as 0 and 8 have ________ and ________ symmetry.
Answer: rotational, reflection
Explanation: You can fold 0 and 8 across a center line so both sides match, and you can also turn them upside down without changing how they look.

Question. A firki (windmill) displays symmetry at every ________ turn.
Answer: one-fourth (1/4)
Explanation: Because a toy windmill has four matching blades, giving it a 1/4 spin (a 90-degree turn) makes it look just like it did before.

Question. The numeral ________ has both a horizontal and a vertical line of symmetry.
Answer: 8
Explanation: If you fold the number 8 right down the middle from top to bottom, or across the middle from left to right, both halves match.

True or False

Question. If a figure looks the same after a 1/2 turn, it has rotational symmetry.
Answer: True
Explanation: A 1/2 turn means turning an object upside down. If it still looks identical, it has rotational symmetry.

Question. The letter 'N' has both vertical and horizontal axes of symmetry.
Answer: False
Explanation: If you fold the letter 'N' horizontally or vertically, the slanted line in the middle will not line up, so it has no mirror lines of symmetry.

Question. The number '7' has reflection symmetry.
Answer: False
Explanation: There is no way to fold or split the number 7 so that one side is a mirror image of the other.

Question. A firki looks unchanged after rotating by 90 degrees.
Answer: True
Explanation: Turning 90 degrees is a quarter turn. Because all 4 blades are equally spaced, the windmill looks exactly the same.

Question. Block printing designs are frequently symmetrical.
Answer: True
Explanation: Craftspeople stamp shapes in neat, balanced rows so the patterns look beautiful and evenly matched.

Questions / Short Question Answers

Question. Explain why a firki (windmill) shows rotational symmetry using an illustration.
Answer: A firki has four blades arranged equally. When rotated by 1/4 of a turn (90 degrees), it looks the same as before. So, it shows rotational symmetry at every quarter turn, making it symmetrical with respect to rotation.
Explanation: Imagine a pinwheel spinning. Every time one blade takes the place of the next blade, the toy looks completely untouched!

Question. State one letter that has only a vertical line of symmetry.
Answer: The letter "A"
Explanation: If you draw a straight line from the top point of 'A' down through the middle, the left side and right side match like twins.

Question. Distinguish between reflection symmetry and rotational symmetry with an example.
Answer: Reflection symmetry means the two parts of an object are mirror images across a line (e.g., letter A). Rotational symmetry means the object looks the same after rotating it by a certain angle (e.g., firki after a quarter turn).
Explanation: Reflection symmetry is like folding a paper along a crease, while rotational symmetry is like spinning a toy wheel around a pin.

Question. Describe the method to make a paper cutout of the letter 'H' using symmetry.
Answer: Fold the paper vertically, then horizontally, making one-fourth of the paper. Draw one-fourth of the letter 'H' along the fold. Cut the outline, open to reveal 'H' with both vertical and horizontal symmetry.
Explanation: Because the letter 'H' matches top-to-bottom and side-to-side, folding the paper into four layers lets you cut out the whole letter with just a few snips!

Question. What is reflection symmetry in a shape?
Answer: Reflection symmetry means one-half of a figure is the mirror image of the other half, divided by a line called the line of symmetry.
Explanation: It means if you put a mirror right on the middle line, the reflection finishes the other half of the picture perfectly.

Question. Give two examples of digits which have both rotational and reflection symmetry.
Answer: The numbers 0 and 8 have both rotational and reflection symmetry.
Explanation: Both 0 and 8 can be folded in half with a mirror line, and they also look unchanged when turned upside down.

Question. Which traditional art form is renowned for symmetrical block printing in Rajasthan?
Answer: Block printing is known for creating symmetrical designs in Rajasthan.
Explanation: In Rajasthan, wooden blocks are carefully carved and stamped onto textiles to produce matching, balanced art.

Match the Following

Question. Match each character or item in Column A with its correct symmetry feature in Column B:

Explanation: Different shapes show symmetry in different ways: some only fold across a line, some only look the same when spun around, and some can do both!

Vocabulary Activity - "Guess the Word"

Question. Guess the Word: I am an imaginary line that cuts a figure into two identical mirror halves. What am I?
Answer: Line of symmetry
Explanation: When you fold along this line, both sides match each other without sticking out.

Question. Guess the Word: I am a traditional toy with four blades that spins in the breeze and looks unchanged after a quarter turn. What am I?
Answer: Firki (Windmill / Pinwheel)
Explanation: A firki is a paper pinwheel on a stick that whirls around when you blow on it or hold it in the wind.

Question. Guess the Word: I am the type of symmetry where an object looks identical after being turned around a central point. What am I?
Answer: Rotational symmetry
Explanation: "Rotate" means to turn like a clock's hands. If a shape looks unchanged before making a full spin, it has rotational symmetry.

Question. Guess the Word: I am a renowned handicraft from Rajasthan that uses carved wooden blocks to stamp symmetrical patterns onto cloth. What am I?
Answer: Block printing
Explanation: Hand block printing uses patterned wooden stamps dipped in ink to create repeating decorative designs on fabric.

Question. Guess the Word: I am the symmetry where one-half of a picture is the exact mirror reflection of the other half. What am I?
Answer: Reflection symmetry
Explanation: Just like your reflection smiling back at you in the mirror, reflection symmetry means two halves match across a dividing line.