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triangles
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Terms in this set (19)
-figure formed by 3 segments connecting 3 noncollinear points
-each point forms the vertex of an angle
-segments=sides
-named like (triangle)ABC
-sum total of angles is 180
triangles
how is a triangle classified
by types of angles and sides
how to classify a triangle with angles
acute
right
obtuse
equiangular
-3 acute angles
-sum total 180
acute triangles
all triangles have at least 2 ---
acute angles
-1 right angle
-2 complementary acute angles
-side opposite the right angle is the longest side/hypotenuse
-other 2 sides are legs
right triangles
-1 obtuse angle
-2 acute angles
obtuse triangle
-3 equal acute angles
-all angles are 60
-acute triangles
equiangular triangle
how to classify triangles by sides
scalene
isosceles
equilateral
-3 sides with different lengths
-no congruent sides
-can be acute, right, or obtuse
scalene triangle
-at least 2 congruent sides
-can be acute, right, or obtuse
-angles opposite the congruent sides are called base angles and are equal in measure
-angle formed by 2 congruent sides is called the vertex angle; it is opposite the noncongruent side
isosceles triangle
-all are equiangular
-all are isosceles but not all isosceles are ---
-3 congruent sides
equilateral triangle
angles and --- have a relationship
sides opposite them
larger the angle--- the side
longer
smaller the angle--- the side
smaller
if 2 sides of a triangle are congruent, then the angles opposite the sides are congruent (sides to angles)
isosceles triangle theorem
if 2 angles of a triangle are congruent, then the sides opposite the angles are congruent (angles to sides)
converse of the isosceles triangle theorem
--- is equal to the sum of the remote interior angles
exterior angle
exterior angle is a linear pair to the ---
adjacent interior angle
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