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# Classifying Triangles Angle Measures of Triangles.

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Classifying Triangles Angle Measures of Triangles
Transcript Classifying Triangles

Angle Measures of Triangles Triangle

• A triangle is a figure formed by three segments joining three noncollinear points. Classifying Triangles by Sides

• Equilateral Triangle

• Isosceles Triangle

• Scalene Triangle Equilateral Triangle

• An equilateral triangle has three congruent sides. Isosceles Triangle

• An isosceles triangle has at least two congruent sides. Scalene Triangle

• A scalene triangle has no congruent sides. Classify the triangle by its sides. Classification of Triangles by Angles

• Equiangular triangle

• Acute triangle

• Right triangle

• Obtuse triangle Equiangular Triangle

• An equiangular triangle has three congruent angles. Acute Triangle

• An acute triangle has three acute angles. Right Triangle

• A right triangle has one right angle. Obtuse Triangle

• An obtuse triangle has one obtuse angle Classify the triangle by its angles. Vertex

• A vertex of a triangle is a point that joins two sides of the triangle.

• The side across from an angle is the opposite side. Name the side that is opposite the angle.

• Angle J

• Angle K

• Angle L Triangle Sum Theorem• The sum of the measures of the angles of a

triangle is 180º.• In ΔABC, mA + m B + m C = 180º Find the measure of the missing angle. Corollary to the Triangle Sum Theorem

• The acute angles of a right triangle are complementary.

• In ΔABC, if m C = 90º, then

m A + m B= 90º

A

CB ΔABC is a right triangle. Find the measure of angle A. Interior Angles

• When the sides of a triangle are extended, other angles are formed.

• The three original angles are the interior angles. Exterior Angles

• The angles that are adjacent to the interior angles are the exterior angles.

• It is common to show only one exterior angle at a vertex. Exterior Angles Theorem

• The measure of an exterior angle of a triangle is equal to the sum of the two remote interior angles.

• m 1 = m A + m B Find the measure of angle 1.

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