Questions and Answers
What is a scalene triangle?
What defines an isosceles triangle?
Which of the following describes an equilateral triangle?
What is an acute triangle?
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What characterizes an obtuse triangle?
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What defines a right triangle?
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What is an equiangular triangle?
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Provide one angle classification and one side classification for a right-scalene triangle.
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Provide one angle classification and one side classification for an acute-scalene triangle.
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Provide one angle classification and one side classification for an obtuse-scalene triangle.
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Provide one angle classification and one side classification for a right-isosceles triangle.
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Provide one angle classification and one side classification for an acute-isosceles triangle.
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Provide one angle classification and one side classification for an obtuse-isosceles triangle.
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Provide one angle classification and one side classification for an equiangular-equilateral triangle.
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Study Notes
Triangle Classifications by Sides
- Scalene Triangle: All sides are of different lengths; no sides are congruent.
- Isosceles Triangle: Has two sides of equal length, creating two congruent sides.
- Equilateral Triangle: All three sides are of equal length; therefore, all sides are congruent.
Triangle Classifications by Angles
- Acute Triangle: Contains three acute angles (less than 90 degrees).
- Obtuse Triangle: Contains one obtuse angle (greater than 90 degrees).
- Right Triangle: Features one right angle (exactly 90 degrees).
- Equiangular Triangle: All three angles are congruent; each angle measures 60 degrees.
Combined Classification
- Right-Scalene Triangle: One right angle with all sides of different lengths.
- Acute-Scalene Triangle: Three acute angles with sides of different lengths.
- Obtuse-Scalene Triangle: One obtuse angle with all sides of different lengths.
- Right-Isosceles Triangle: One right angle with two sides of equal length.
- Acute-Isosceles Triangle: Three acute angles with two sides of equal length.
- Obtuse-Isosceles Triangle: One obtuse angle with two sides of equal length.
- Equiangular-Equilateral Triangle: All sides and angles are congruent, making it both equilateral and equiangular.
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Description
Test your knowledge on the classifications of triangles based on sides and angles. This quiz covers various triangle types, including scalene, isosceles, equilateral, and right triangles. Challenge yourself to recognize and differentiate between these geometric figures!
