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Unit 4
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Published on Nov 30, 2015
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PRESENTATION OUTLINE
1.
Acute Triangle
A triangle that has all angles less than 90°
2.
RIGHT TRIANGLE
triangle where one of its interior angles is a right angle (90 degrees).
3.
OBTUSE TRIANGLE
triangle where one of the internal angles is obtuse (greater than 90 degrees).
4.
Equiangular Triangle
A TRIANGLE WHICH HAS ALL THREE INTERIOR ANGLES EQUAL (CONGRUENT).
5.
EQUILATERAL TRIANGLE
A TRIANGLE WITH ALL THREE SIDES OF EQUAL LENGTH
6.
Isosceles Triangle
A TRIANGLE WITH TWO EQUAL SIDES; THE ANGLES OPPOSITE THE EQUAL SIDES ARE ALSO EQUAL
7.
Scalene Triangle
A TRIANGLE WHERE ALL THREE SIDES ARE DIFFERENT IN LENGTH.
8.
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.
9.
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.
10.
ASA
11.
ASA
The Angle Side Angle postulate states triangles are congruent if any two angles and
their included side are equal in both triangles.
12.
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.
13.
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.
14.
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.
15.
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.
16.
Centroid
Centroid of a triangle is the point of intersection of all its three medians.
17.
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.
18.
RIGHT aNGLE
19.
OBTUSE TRIANGLE
20.
ACUTE TRIANGLE
21.
ALTITUDE OF A TRIANGLE
22.
CONCURRENT
Allison Shields
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