Podcast
Questions and Answers
What is a scalene triangle?
What is a scalene triangle?
- A triangle with no congruent sides (correct)
- A triangle with two congruent sides
- A triangle with three congruent sides
- A triangle with three acute angles
What defines an isosceles triangle?
What defines an isosceles triangle?
- A triangle with two congruent sides (correct)
- A triangle with three congruent sides
- A triangle with no congruent sides
- A triangle with one obtuse angle
Which of the following describes an equilateral triangle?
Which of the following describes an equilateral triangle?
- A triangle with three congruent sides (correct)
- A triangle with three acute angles
- A triangle with one right angle
- A triangle with one obtuse angle
What is an acute triangle?
What is an acute triangle?
What characterizes an obtuse triangle?
What characterizes an obtuse triangle?
What defines a right triangle?
What defines a right triangle?
What is an equiangular triangle?
What is an equiangular triangle?
Provide one angle classification and one side classification for a right-scalene triangle.
Provide one angle classification and one side classification for a right-scalene triangle.
Provide one angle classification and one side classification for an acute-scalene triangle.
Provide one angle classification and one side classification for an acute-scalene triangle.
Provide one angle classification and one side classification for an obtuse-scalene triangle.
Provide one angle classification and one side classification for an obtuse-scalene triangle.
Provide one angle classification and one side classification for a right-isosceles triangle.
Provide one angle classification and one side classification for a right-isosceles triangle.
Provide one angle classification and one side classification for an acute-isosceles triangle.
Provide one angle classification and one side classification for an acute-isosceles triangle.
Provide one angle classification and one side classification for an obtuse-isosceles triangle.
Provide one angle classification and one side classification for an obtuse-isosceles triangle.
Provide one angle classification and one side classification for an equiangular-equilateral triangle.
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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