Geometry: 1/28 thru 2/1

Monday - 1/28

HW: 7-64, 66, 67, 68, 70

USING CONGRUENT TRIANGLES IN A PROOF

• Every statement needs a reason
• Reasons can be:
• Given
• Properties (i.e. reflexive)
• Definitions (see notes below)
• Theorems/ "facts" that we know to be true (i.e. vertical angles are congruent or CPCTC)
• If the proof involves congruent triangles, then you need to find out how you can prove that they are congruent, and IMMEDIATELY after that we can say CPCTC which means corresponding parts of congruent triangles are congruent. (i.e. a pair of sides or angles in the triangle)

Monday's Notes can be downloaded here:

https://dl.dropbox.com/u/40810525/Definitionsquads.docx
These are definitions of quadrilaterals. Definitions can be used in proofs as reasons.

Tuesday - 1/28
HW: 7-85 (see hint below)

Algebra 2/Trig: 1/28 thru 2/1

Monday - Parabolas Centered at the Origin
Page 576: 9, 11, 15-20 all

Tuesday - Parabolas not Centered at the Origin
Page 576: 10, 12, 13, 23-31 odd

Wednesday - Conics Review

Thursday

Friday

Algebra 2: 1/28 thru 2/1

Monday
Rational Exponents Worksheet

Tuesday
Review Domain, Asymptotes, Intercepts

Wednesday
Operations with Rationals

Thursday
Solving Rationals and Radicals

Friday
Rationals & Radicals (Chapter 8) TEST

Semester 2: Week 1 Geometry

Wednesday - 1/23

Introduction to Proofs!
HW: 7-46 and 47

Thursday - 1/24
7-49, 52, 56

Friday - 1/25

2 Proofs in class: 7-63 and 65
7-61 independent practice


Friday's (1/25) Notes can be downloaded here: https://dl.dropbox.com/u/40810525/REASONS%20TO%20USE.docx
These are some REASONS that we collected that can be used to prove various things

Semester 2 Week 1: Algebra 2/Trig

Wednesday
More Ellipses!
Page 591: 15, 19, 23, 25, 33, 37

Thursday
Hyperbolas
601: 7, 11, 13-21 odd

Friday
Questions on the half-sheet - Ellipses and Hyperbolas

HYPERBOLAS VS. ELLIPSES

Ellipses

• the a-value is the BIGGER value
• whichever one it is under (x or y) tells you whether it is horizontal or vertical
• a^2 - b^2 = c^2

Hyperbolas

• the a-value is the FIRST one that you see
• if x comes first it is horizontal, if y comes first it is vertical
• a^2 + b^2 = c^2 (careful, different than ellipses formula)

Semester 2 Week 1: Algebra 2

Wednesday

Solving Rationals
517: 9-17 odd

Domain of Radicals
525: 11-17 odd

Thursday
526: 37-51 odd

Friday
542: 11-23 odd
Solving Radical Equations

Geometry Semester Review

LINKS TO HELPFUL DOCUMENTS FOR CUMULATIVE TEST

• True/False Topics
• Early Semester Review Topics
• Chapter 2 Notes: Angles and Area
• The Tangent Ratio and slope triangles (finding side and finding angle)
• Triangles Review (See Page 2 for notes)

Topics on Final: Early material (see true/false and review notes), angle relationships & related vocabulary (supplementary/complementary/congruent), area formulas and finding area of trapezoid by creating squares and triangles, and Triangles (30-60-90 and trig functions sin cos tan), triangle similarity and triangle congruence (see below)

IN CONGRUENT FIGURES, SIDES AND ANGLES ARE BOTH THE SAME

5 Ways to PROVE Congruence:    (congruent means "the same")   think of these as checklists

1. SSS = all sides are the same
2. SAS = two sides are the same and the angle BETWEEN them is the same
3. ASA = two angles and the side BETWEEN them is the same
4. AAS = two angles are the same and an angle NOT between them is the same
5. HL = in right triangles the hypotenuse and one leg is the same

Ambiguous Case (SSA) does NOT PROVE CONGRUENCE = this is when you have two sides that are the same and a non-included angle. If the angle was in between the two sides, it would be SAS and the triangles can be proven to be congruent.

IN SIMILAR FIGURES, SIDES ARE IN PROPORTION AND ANGLES ARE THE SAME.

3 Ways to PROVE Similarity:   (meaning same shape but different sizes)

1. SSS = all three sides are IN PROPORTION
2. AA= two (so really three) angles are THE SAME
3. SAS = two sides are IN PROPORTION and the angle between them is the same