* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Geometry Chapter 4 Study Guide Vocabulary: Midpoint d
Survey
Document related concepts
Multilateration wikipedia , lookup
Steinitz's theorem wikipedia , lookup
Golden ratio wikipedia , lookup
History of geometry wikipedia , lookup
Noether's theorem wikipedia , lookup
Brouwer fixed-point theorem wikipedia , lookup
Four color theorem wikipedia , lookup
Euler angles wikipedia , lookup
Rational trigonometry wikipedia , lookup
Reuleaux triangle wikipedia , lookup
History of trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Euclidean geometry wikipedia , lookup
Transcript
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.