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