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Shapes and Angles Exploration

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Shapes and Angles Exploration

Shapes and Angles Exploration

Geometric shapes and angles illustration

📐 Part 1: Shape Classification

1. Circle the correct classification for each shape based on its properties:

A triangle with three equal sides is called:

Scalene triangle

Isosceles triangle

Equilateral triangle

A quadrilateral with four right angles and opposite sides equal is called:

Square

Rectangle

Rhombus

2. Check all the properties that apply to a square:

Has 4 equal sides

Has 4 right angles

Has 4 vertices

Has parallel opposite sides

Has 3 sides

📏 Part 2: Angle Properties

3. Fill in the missing angle measurements:

A right angle measures _______ degrees.

The sum of angles on a straight line is _______ degrees.

The sum of angles around a point is _______ degrees.

4. If two angles on a straight line measure 120° and x°, what is the value of x?
5. Circle the type of angle shown:

An angle measuring 45°:

Acute angle

Right angle

Obtuse angle

🎨 Part 3: Drawing and Identifying

6. Draw a rectangle and mark all the right angles with a small square symbol:
7. Draw a composite shape using at least one triangle and one rectangle. Label each right angle:
8. In the space below, sketch three different triangles and label them as acute, right, or obtuse based on their largest angle:

🔍 Part 4: Shape Hunt and Vocabulary

9. Match the mathematical terms with their correct definitions:
1. Vertex
2. Right angle
3. Quadrilateral
4. Parallel lines
A. Lines that never meet
B. A 90° angle
C. A shape with 4 sides
D. Corner point where two sides meet
10. List three objects in your classroom that contain right angles:
11. Explain in your own words what makes a triangle different from a quadrilateral:

🧮 Part 5: Problem Solving

12. A triangle has angles measuring 60°, 60°, and x°. What is the value of x? (Remember: angles in a triangle sum to 180°)
13. Four angles meet at a point. Three of them measure 85°, 120°, and 90°. What does the fourth angle measure?
14. Check all the shapes that MUST have at least one right angle:

Square

Rectangle

Right-angled triangle

Circle

Equilateral triangle

15. Reflection: Write one new thing you learned about shapes and angles today:

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