Classifying Triangles by Sides and Angles Worksheet

Are you a teacher or a parent looking for a useful resource to help your students or children understand and differentiate between different types of triangles? Look no further! Our Classifying Triangles by Sides and Angles Worksheet is designed to provide a comprehensive and engaging activity that will enable learners to grasp the basic concepts of triangle classification based on their sides and angles.

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What is an equilateral triangle?

An equilateral triangle is a triangle with all three sides equal in 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 and two equal angles opposite those sides. This means that the base angles of an isosceles triangle are congruent, making it a symmetrical shape.

What is a scalene triangle?

A scalene triangle is a type of triangle in which all three sides have different lengths, and all three angles have different measures. It is a triangle that does not have any congruent sides or angles.

What is an acute triangle?

An acute triangle is a type of triangle in which all three of its interior angles are less than 90 degrees. This means that the triangle has no angle equal to or greater than 90 degrees, making all its angles acute.

What is a right triangle?

A right triangle is a triangle that has one angle measuring 90 degrees, which is known as the right angle. The side opposite the right angle is called the hypotenuse, and the other two sides are known as the legs of the triangle. The Pythagorean theorem can be applied to right triangles to calculate the length of the sides when the lengths of two sides are known.

What is an obtuse triangle?

An obtuse triangle is a type of triangle that has one angle measuring more than 90 degrees. This means that one of the angles in the triangle is greater than a right angle (90 degrees) but the sum of all three angles still equals 180 degrees.

What is a congruent triangle?

A congruent triangle is a triangle that has the same size and shape as another triangle. This means that all corresponding sides and angles of the two triangles are equal. When two triangles are congruent, they can be superimposed on top of each other, making them identical.

What is a similar triangle?

Similar triangles are triangles that have the same shape but not necessarily the same size. Corresponding angles of similar triangles are equal, and the corresponding sides are in proportion to each other. This means that if two triangles are similar, you can create one triangle by scaling up or down the other triangle.

What is a triangle with all angles measuring 90 degrees?

A triangle with all angles measuring 90 degrees is called a right triangle. In a right triangle, one of the angles is a right angle, which is 90 degrees, while the other two angles are acute, measuring less than 90 degrees each.

What is a triangle with one angle measuring more than 90 degrees?

A triangle with one angle measuring more than 90 degrees is known as an obtuse triangle. This type of triangle has one angle that is greater than 90 degrees and two acute angles that are less than 90 degrees.