Download Unit 3 Study Guide

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

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

Pythagorean theorem wikipedia , lookup

Multilateration wikipedia , lookup

Integer triangle wikipedia , lookup

Trigonometric functions wikipedia , lookup

Rational trigonometry wikipedia , lookup

Line (geometry) wikipedia , lookup

Euclidean geometry wikipedia , lookup

Euler angles wikipedia , lookup

Transcript
Geometry/Trig 2
Unit 3 Study Guide
--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.
Section 3-1: Extra Practice – pg.77 #23 – 28
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: Extra Practice – pg.89 #6 – 12; pg.82 #20, 21
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: Extra Practice – pg.87 #1 – 16; pg.88 #20 (Prove: PQ || RS)
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: Extra Practice – pg.96 #1 – 4, 9 – 11; pg.97 #1 – 4; pg.99 #29, 30; pg.110 (Self Test) #1 – 7
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: Extra Practice – pg.110 (Self Test) #8 – 11;
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
Unit Practice:
Complete pg.111 (Chapter Review) #1 – 19 for additional practice on the entire unit.