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Unit 4

Published on Nov 30, 2015

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PRESENTATION OUTLINE

Acute Triangle

A triangle that has all angles less than 90°

RIGHT TRIANGLE

triangle where one of its interior angles is a right angle (90 degrees).

OBTUSE TRIANGLE

triangle where one of the internal angles is obtuse (greater than 90 degrees).

Equiangular Triangle

A TRIANGLE WHICH HAS ALL THREE INTERIOR ANGLES EQUAL (CONGRUENT).

EQUILATERAL TRIANGLE

A TRIANGLE WITH ALL THREE SIDES OF EQUAL LENGTH

Isosceles Triangle

A TRIANGLE WITH TWO EQUAL SIDES; THE ANGLES OPPOSITE THE EQUAL SIDES ARE ALSO EQUAL

Scalene Triangle

A TRIANGLE WHERE ALL THREE SIDES ARE DIFFERENT IN LENGTH.

SSS

  • The side-side-side postulate states triangles are congruent if all three
  • sides in one triangle are congruent to the corresponding sides in the other.

SAS

  • The Side Angle Side postulate states that if two sides and the included angle of one
  • triangle are congruent to two sides and the included angle of another triangle, then
  • these two triangles are congruent.

ASA

  • The Angle Side Angle postulate states triangles are congruent if any two angles and
  • their included side are equal in both triangles.

AAS

  • The Angle Angle Side postulate states that if two angles and the non-included side
  • one triangle are congruent to two angles and the non-included angle of anothe
  • triangle, then these two triangles are congruent.

CPCTC

  • "Corresponding Parts of Congruent Triangles are Congruent"
  • It is intended as an easy way to remember that when you have two triangles and
  • you have proved they are congruent, then each part of one triangle (side, or angle)
  • is congruent to the corresponding part in the other.

CONCURRENT

  • When three or more lines meet at a single point, they are said to be concurrent. In a
  • triangle, the three medians, three perpendicular bisectors, three angle bisectors,
  • nd three altitudes are each concurrent.

MEDIAN OF A TRIANGLE

  • A median of a triangle is a line segment joining a vertex to the midpoint of the
  • opposite side. A triangle therefore has three medians.

Centroid

  • Centroid of a triangle is the point of intersection of all its three medians.

Altitude of a Triangle

  • An altitude is also a line which passes through a vertex of a triangle, and is at right
  • angles to the opposite side. A triangle has three altitudes.

RIGHT aNGLE

OBTUSE TRIANGLE

ACUTE TRIANGLE

ALTITUDE OF A TRIANGLE

CONCURRENT

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