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Triangle Classification: Properties and Problem Solving

In this worksheet, you will explore triangle types, their properties, and apply concepts to solve problems. Engage in critical thinking and enhance your understanding of geometry.

Building a Foundation

1. What is the sum of the internal angles in any triangle? (1 choice)

180 degrees
90 degrees
270 degrees
360 degrees

2. Which of the following are characteristics of an equilateral triangle? (multiple choice)

All angles are 60 degrees
One angle is 90 degrees
Two sides are equal
All sides are equal

3. Describe the difference between an isosceles triangle and a scalene triangle.

4. List the three types of triangles classified by their angles.

Type 1

Type 2

Type 3

Your answers will be evaluated by AI for key concepts, not exact wording. Focus on main ideas.

comprehension and Application

5. Which type of triangle has one angle greater than 90 degrees? (1 choice)

Equilateral
Right
Acute
Obtuse

6. Identify the triangles that can have at least two equal sides. (multiple choice)

Isosceles
Right
Equilateral
Scalene

7. Given a triangle with angles 50 degrees and 60 degrees, calculate the measure of the third angle and classify the triangle by its angles.

8. If a triangle has sides measuring 5 cm, 5 cm, and 8 cm, what type of triangle is it based on its sides? (1 choice)

Right
Equilateral
Isosceles
Scalene

Analysis, Evaluation, and Creation

9. Which of the following statements is true about scalene triangles? (1 choice)

They have one right angle.
All sides and angles are different.
All angles are equal.
They have at least two equal sides.

10. Evaluate the following scenarios and determine which could form a valid triangle. (multiple choice)

Sides measuring 3 cm, 4 cm, and 5 cm
Angles measuring 60 degrees, 60 degrees, and 60 degrees
Sides measuring 2 cm, 2 cm, and 5 cm
Angles measuring 90 degrees, 45 degrees, and 45 degrees

11. Create a real-world problem involving a triangle, describe the scenario, and explain how you would solve it using triangle properties.

12. Analyze how the properties of an isosceles triangle can be used to find missing angles when two angles are known.

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