Classifying Triangles by Angles Worksheet

If you're a math teacher seeking a practical and comprehensive resource to help your students understand and classify triangles by their angles, you've come to the right place. This worksheet provides an effective way to engage your students and reinforce their understanding of this important geometric concept with clear and concise questions.

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What is a right triangle?

A right triangle is a type of triangle with one angle that measures 90 degrees. This angle is often called the "right angle," and it is formed by the intersection of the two shorter sides of the triangle, known as the legs. The side opposite the right angle is the longest side, called the hypotenuse. Right triangles have many special properties that are useful in geometry, trigonometry, and other branches of mathematics.

What is an acute triangle?

An acute triangle is a type of triangle in which all three angles are less than 90 degrees, making it a triangle with three acute angles. This means that none of the angles in an acute triangle will measure 90 degrees or more, distinguishing it from right triangles and obtuse triangles.

What is an obtuse triangle?

An obtuse triangle is a triangle in which one of the angles is greater than 90 degrees. This type of triangle has one angle that is obtuse, meaning it is more than a right angle but less than 180 degrees.

What is an equilateral triangle?

An equilateral triangle is a type of triangle where all three sides are of equal length, and all three angles are also equal, measuring 60 degrees each.

What is an isosceles triangle?

An isosceles triangle is a type of triangle that has two sides of equal length, making the two angles opposite those sides also equal in measure. The third side and the angles opposite it are typically unequal.

What is a scalene triangle?

A scalene triangle is a type of triangle in which all three sides have different lengths. This means that none of the angles are equal to each other, making it an irregular triangle.

What is a straight angle triangle?

A straight angle triangle, also known as a right triangle, is a triangle that has one angle measuring 90 degrees. This angle is typically referred to as the right angle, and it is the angle formed when two sides of the triangle meet at a perpendicular intersection. The other two angles in a right triangle are acute, meaning they are less than 90 degrees.

What is a reflex angle triangle?

A reflex angle triangle is a triangle where one of the angles measures more than 180 degrees. Typically, this occurs when one of the angles in the triangle is greater than a straight angle, which is equivalent to 180 degrees. The presence of a reflex angle in a triangle can affect the properties and calculations associated with the triangle, making it a unique case in geometry.

What is a acute-angled triangle?

An acute-angled triangle is a triangle in which all three angles are less than 90 degrees. This means that all angles in an acute-angled triangle are considered acute angles, or angles smaller than a right angle.

What is a obtuse-angled triangle?

An obtuse-angled triangle is a triangle where one of the angles measures more than 90 degrees but less than 180 degrees. This means that one of the angles in the triangle is wider than a right angle but not as wide as a straight angle.