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22 terms

Geometry Postulates and Theorems Ch. 4 and 5

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Side-Side-Side
If all three sides of one triangle are congruent to all three sides of a second triangle, then the two triangles are congruent
Side-Angle-Side
If two sides and the included angle of one triangle are congruent to two sides and the included side of a second triangle, then the two triangles are congruent
Angle-Side-Angle
If two sides and the included angle of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent
Triangle Sum Theorem
The sum of the measures of the interior angles of a triangle must add up to 180 degrees
Third Angles Theorem
If two angles of one triangle are congruent to two angles of a second triangle, then the third angles are also congruent
Exterior Angles Theorem
The measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles
Exterior Angle Inequality
The measure of the exterior angle of a triangle is greater than the measure of either of the two remote interior angles
Base Angles Theorem
If two sides of a triangle are congruent, then the angles opposite them are congruent
Base Angles Theorem Converse
If two angles of a triangle are congruent, then the sides opposite them are congruent
HL Congruence Theorem
If two lines are cut by a transversal such that the pairs of alternate interior angles are congruent, then the lines are parallel
Midsegment Theorem
The segment connecting the mid points of two sides of a triangle is parallel to the third side and half its length
Scalene Triangle
A triangle with no equal sides
Isosceles Triangle
A triangle with two equal sides
Equilateral Triangle
A triangle in which all three sides are congruent
Acute Triangle
A triangle where all three angles are less than ninety degrees
Equiangular Triangle
A triangle where all three angles are congruent
Right Triangle
A triangle where one of the angles is ninety degrees
Obtuse Triangle
A triangle where one of the sides is over ninety degrees
Parts of a right triangle
Legs and hypotoneus
CPCTC
States that corresponding parts of congruent triangles are congruent
Triangle Midsegment
A segment passing through the midpoint of 2 sides of a triangle
Included Angle
The angle where to sides meet