Download Geometry Chapter 4 Study Guide Vocabulary: Midpoint d

Geometry
Chapter 4 Study Guide
1. Vocabulary:
a. Midpoint
b. Median
c. Centriod
d. Hypotenuse
e. Triangle Types
2. Triangle Sum Theorem: The sum of the interior angles of a triangle is 180
3. Exterior Angle Theorem: The measure of an exterior angle is equal to the
sum of the two opposite interior angles.
4. Base Angles Theorem: If the two sides of a triangle are congruent, then the
angles opposite them are congruent.
5. Converse of the Base Angles Theorem: If two angles of a triangle are
congruent, then the sides opposite them are congruent
6. The Pythagorean Theorem: If given a right triangle, then the square of the
length of the hypotenuse is equal to the sum of the squares of the smaller legs
7. Converse of the Pythagorean Theorem: If the square of the length of the
hypotenuse is equal to the sum of the squares of the two smaller legs, then
the triangle is a right triangle.
8. Classifying Triangles:
a. If (Longest Side)2 < (Medium Side)2 + (Shortest Side)2 ,
then the triangle is acute.
b. If (Hypotenuse)2 = (Leg1)2 + (Leg2)2 , then the triangle is right.
c. If (Longest Side)2 > (Medium Side)2 + (Shortest Side)2 ,
then the triangle is obtuse.
9. Medians and Centriods: The three medians of a triangle intersect at the
centroid of a triangle. This point (centroid) is two-thirds the distance from
the vertex to the midpoint of the opposite side.