Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Rotation formalisms in three dimensions wikipedia , lookup
Duality (projective geometry) wikipedia , lookup
Riemannian connection on a surface wikipedia , lookup
Perspective (graphical) wikipedia , lookup
History of trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Integer triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
Line (geometry) wikipedia , lookup
Rational trigonometry wikipedia , lookup
Unit 3 Study Guide Test Date: 10-8-2008 In the first section you will be asked to demonstrate knowledge of the skills seen in your Jeopardy Review game. The second section of the test will consist of proofs. --We completed all of Chapter Three. Therefore, any theorems, postulates, definitions, and properties that appear in Chapter Three and any material that we worked on in Chapters One and Two are fair game for the test. --A majority of the proofs on the test will have some of the statements and/or reasons filled in already. You will need to fill in the blanks. -- Just like on the last test, one part will be an incorrect proof. You will have to identify what is wrong with the proof and why the steps are wrong. Then, you will have to show the correct way to complete the given proof. Section 3-1: Parallel Lines, Skew Lines, Parallel Planes, Transversal, Alternate Interior/Exterior Angles, Same-Side Interior/Exterior Angles, and Corresponding Angles If two parallel planes are cut by a third plane, then … Section 3-2: If two parallel lines are cut by a transversal, then corresponding angles are … If two parallel lines are cut by a transversal, then alternate interior angles are … If two parallel lines are cut by a transversal, then same-side interior angles are … If a transversal is perpendicular to one of the two parallel lines, then … Section 3-3: If corresponding angles are congruent, then … If alternate interior angles are congruent, then … If same-side interior angles are supplementary, then … In a plane, two lines perpendicular to the same line … Two lines parallel to a third line are …. Section 3-4: Vertex, Side, Acute Δ, Obtuse Δ, Right Δ, Equiangular Δ, Scalene Δ, Isosceles Δ, Equilateral Δ, Exterior Angle, Remote Interior Angle The three interior angles of a triangle … The sum of the two remote interior angles will equal … If two sides of a triangle are congruent, then the angles opposite those are … A triangle can never have more than one … The acute angles of a right triangle are … Section 3-5: Polygon, Convex, Nonconvex (Concave), Diagonal, Consecutive, Nonconsecutive, Regular Polygon, Irregular Polygon Know the names of all Polygons (sides 3 through 10, and n) Formula for Number of Diagonals in a Polygon Formula for Sum of Interior Angles in a Polygon The sum of the exterior angles of a polygon is always … Know the Summary Chart at the end of the notes