Download Math 231 Test 2 Review

Math 231
Test 2 Review
5.1
indirect proofs: assume conclusion is false, get a contradiction
parallel postulate
two lines cut by a transversal: know the types of angles formed and theorems
lines parallel ⇔ alternate interior angles are congruent
lines parallel ⇔ same side interior angles are supplementary
lines parallel ⇔ corresponding angles are congruent
find measures of angles in a diagram using the theorems
proofs involving parallel lines, transversals, and the angles formed
5.2
theorems: sum of angles in a triangle is 180º, AAS congruence, Angle Bisector
find measures of angles in a diagram using the theorems
more proofs involving parallel lines, transversals, and the angles formed
5.3
parallelogram/rhombus theorems
computing angles and segment lengths in diagrams
6.1
ratios and proportions: solve proportions
geometric mean
6.2
similar tiangles: definition
AAA Sim Postulate, AA Sim Thm, SAS Sim Thm, SSS Sim Thm
Finding missing sides using similar triangles, proofs involving similar triangles, applications
6.3
know the following 4 theorems (for true/false questions and solving for missing side lengths)
Mean Proportional for Right Triangles, Side-splitting Thm, Midsegment Thm, Midquad Thm
7.1
measure of an arc, length of an arc, area of a sector
Inscribed Angle Thm, corollary 1 (congruent inscribed angles), corollary 2 (right inscribed angles)
7.2
perpendicular bisector of a chord (thm), measures of angles and segments formed by intersecting
chords (thm)
7.3
know the theorems about the measures of angles and segments formed by intersecting
tangents and secants (summarized in the handout)
Note: All chapter 7 theorems are on the two page Chapter 7 handout.