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Instructions

Hello, Geometry Explorer! Let's have some fun with shapes. Read each question carefully and write your answer in the space provided.

Part 1: Shape Detective

Match the description on the left with the correct shape name on the right. Write the letter of the correct shape on the line.

1. I am a 3D shape with 6 flat, square faces.
2. I am a 2D shape with 3 sides and 3 corners.
3. I am a perfectly round 3D shape, like a ball.
4. I am a 2D shape with 5 sides.
5. I have two flat circle faces and one curved surface.

A. Sphere
B. Pentagon
C. Cylinder
D. Cube
E. Triangle

Part 2: Shape Properties

Fill in the table with the correct number of sides and corners for each 2D shape.

Shape Name Number of Sides Number of Corners (Vertices)
Square
Triangle
Hexagon
Rectangle

Part 3: Perimeter Path

The perimeter is the total distance around the outside of a shape. Find the perimeter for each shape below by adding the lengths of all its sides.

1. A square with each side measuring 6 cm.
Perimeter: cm
2. A rectangle with a length of 10 cm and a width of 4 cm.
Perimeter: cm
3. A triangle with sides measuring 5 cm, 7 cm, and 8 cm.
Perimeter: cm

Part 4: Area Adventure

The area is the space inside a 2D shape. Count the squares (□) to find the area of the rectangle below. The answer is in "square units."

□ □ □ □ □
□ □ □ □ □
□ □ □ □ □

Area: square units

Part 5: Symmetry Check

A shape is symmetrical if you can draw a line through the middle (a line of symmetry) and both sides are mirror images of each other. Write YES or NO.

1. Does a perfect square have a line of symmetry?
2. Does the capital letter H have a line of symmetry?
3. Does the capital letter G have a line of symmetry?

Answer Key

Part 1: Shape Detective

  1. D
  2. E
  3. A
  4. B
  5. C

Part 2: Shape Properties

Shape Name Number of Sides Number of Corners (Vertices)
Square 4 4
Triangle 3 3
Hexagon 6 6
Rectangle 4 4

Part 3: Perimeter Path

  1. 24 cm (6 + 6 + 6 + 6)
  2. 28 cm (10 + 4 + 10 + 4)
  3. 20 cm (5 + 7 + 8)

Part 4: Area Adventure

Area: 15 square units (3 rows of 5 squares)

Part 5: Symmetry Check

  1. YES
  2. YES
  3. NO
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