Questions and Answers
What type of triangle is identified by its angle and side when referred to as Isosceles and Obtuse Triangle?
What type of triangle is identified by its angle and side when referred to as Scalene and Right Triangle?
What type of triangle is identified by its angle and side when referred to as Equilateral, Isosceles, and Acute Triangle?
What type of triangle is identified by its side when referred to as Scalene Triangle?
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What type of triangle is identified by its side when referred to as Isosceles Triangle?
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What type of triangle is identified by its side when referred to as Equilateral and Isosceles Triangle?
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What type of triangle is identified by its angle when referred to as Acute Triangle?
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What type of triangle is identified by its angle when referred to as Obtuse Triangle?
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What type of triangle is identified by its side when referred to as Isosceles Triangle?
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What type of triangle is identified by its angle when referred to as Right Triangle?
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What type of triangle is identified by its side when referred to as Scalene Triangle?
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Are the following triangles congruent to each other if two sides and their included angle are equal in both triangles?
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Are the following triangles congruent to each other if two angles and their non-included side are equal in both triangles?
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Study Notes
Triangle Classifications
- Isosceles Triangle: Has at least two equal sides and two equal angles.
- Obtuse Triangle: Contains one angle greater than 90 degrees.
Triangle Characteristics
- Scalene Triangle: All sides and angles are different; no equal sides or angles.
- Right Triangle: Contains one angle equal to 90 degrees.
Types of Triangles by Angles
- Equilateral Triangle: All three sides and angles are equal, each angle being 60 degrees.
- Acute Triangle: All angles are less than 90 degrees.
Congruent Triangles
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Criteria for Congruence:
- If two sides and their included angle are equal in both triangles, they are congruent.
- If two angles and their non-included side are equal in both triangles, they are congruent.
Summary of Triangle Types
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Triangle Types by Sides:
- Isosceles: Two equal sides.
- Scalene: No equal sides.
- Equilateral: All equal sides.
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Triangle Types by Angles:
- Acute: All angles < 90°.
- Right: One angle = 90°.
- Obtuse: One angle > 90°.
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Description
Test your knowledge on the classifications of triangles based on their sides and angles. Understand the definitions and properties of isosceles, scalene, equilateral, acute, right, and obtuse triangles. This quiz will help solidify your understanding of triangle congruence as well.
