Chapter 5 Geometry Test

Scalene Triangle

No congruent sides

Isosceles Triangle

At least 2 congruent sides

Equilateral Triangle

3 congruent sides

Acute Triangle

3 acute angles in triangle

Right Triangle

1 right angle in triangle

Obtuse Triangle

1 obtuse angle in triangle

Equiangular Triangle

3 congruent angles

Acute Angle

Angles less than 90

Obtuse Angle

Angle larger than 90

Right Angle

Angle 90

Triangle Sum Theorem

All angles added together equal 180

Exterior Angle Theorem

The angle exterior of a triangle is equal to the two angles adjacent added together

Properties of triangle congruence

Reflexive, Symmetric, and Transitive

Third Angles Theorem

If two angles of a triangle are congruent to another triangle then the third angles are congruent

SAS

Two sides with an angle between are congruent to another triangle’s sides and angle

Base Angles Theorem

If two sides of a triangle are congruent then the angles opposite of them are also congruent

Converse of the Base Angles Theorem

If two angles are congruent then the sides opposite of them are also congruent

SSS

If three sides of a triangle are congruent to three sides of another triangle then those two triangles are congruent

ASA

If two angles with a side between them are congruent to another triangle’s angles and side then the two triangles are congruent

AAS

If two angles next to a side are congruent to another triangle’s angles and side then the two triangles are congruent

HL

If the hypotenuse and leg of a right triangle are congruent to another right triangle’s hypotenuse and leg then the two triangle are congruent