Math:Congruent Polygons/Triangles
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Has all congruent corresponding sides and all congruent corresponding angles
Congruent Polygons

Given ΔJKL ≅ ΔXYZ, write down 3 congruence statements according to angles

What do you have to remember when you're comparing two triangles?
Go in a clockwise when writing congruence statements

If 2 angles of one triangle are congruent to 2 angles of another triangle, than the 3rd angles are congruent
Third Angles Theorem

All 3 Pairs of corresponding sides are congruent and all 3 pairs of corresponding angles are congruent
Congruent Triangles

What are 2 ways to classify a triangle?
 By the number of congruent sides
 by the type of angles the triangle has

What type of triangle has all sides congruent?
Equilaterial Triangle

What type of triangle has at least 2 sides congruent?
Isosceles

What type of triangle has no congruent sides?
Scalene

What type of triangle has all 3 angles acute?
Acute triangle

What type of triangle has only 1 right angle?
Right Triangle

What type of traingle has only 1 obtuse angle?
Obtuse Triangle

What type of triangle has all ANGLES congruent?
Equiangular triangle

What is the sum of a triangle?
180

If something is equilaterial it is also classified as:
(4) (including equilaterial)
 Equilaterial
 Isosceles
 Equiangular
 Acute

The measure of the exterior angle of a triangle is equal to the sum of the measures of the 2 remote interior angles
Triangle Exterior Angle Theorem

Angles furthest away from the exterior angle
Remote Interior angles