Geometry Spring Final Study Guide, 2010
Mrs. Hipple
9A, 9B, 9C
Very important: Your final has 110 multiple-choice questions. You will have 2 hours. You WILL need a scientific CALCULATOR! Don’t forget one! You need it to have sin/cos/tan functions. Scratch paper and an answer sheet will be provided. You cannot write on the actual final exam.
You should know, understand, be able to define, analyze, use the formula of, and/or find: The following is not in any special order.
1) Postulate, theorem, corollary, axiom, conjecture, conditional statements
2) Points, lines, planes, rays, segments, angles, 1-2
3) The converse of conditional statements, 2-2
4) Segment bisector, angle bisector, 1-5, 1-6
5) Midpoint formula, 1-5
6) Distance formula, 1-4
7) Slope formula, 3-3
8) Read and use a protractor to measure angles, 1-6
9) Adjacent angles, linear pair, vertical angles, complementary angles, supplementary angles, straight angles, acute angles, obtuse angles, right angles, 1-7
10) Parallel lines, skew lines, intersecting lines, perpendicular lines, parallel planes, 3-1, 3-2
11) Facts (postulates and theorems) about parallel lines that are cut by a transversal, 3-2
12) Alternate-interior angles, alternate-exterior angles, consecutive interior angles, corresponding angles, 3-1
13) Properties of parallelograms, 6-1
14) Types of triangles: acute, obtuse, right, scalene, isosceles, equilateral, 4-1
15) Triangle sum theorem, 4-2
16) Pythagorean theorem and its converse, 8-1
17) Ways of proving triangles are congruent: SSS, SAS, ASA, AAS, HL, 4-4, 4-5
18) Medians, altitudes, angle bisector, and perpendicular bisectors of triangles, 5-1
19) Trigonometry: sine, cosine, tangent, 8-3
20) Triangle Inequality theorem, 5-5
21) Solving proportions, 7-1
22) Similar triangles and theorems (AA, SSS) that prove 2 triangles are similar, 5-6
23) Polygon sum formula (n-2)180, 10-1
24) Interior & exterior angle sum theorems for polygons and regular polygons, 10-1
25) Regular polygons; apothem; radius of a regular polygon, 10-1
26) Inscribed and circumscribed polygons, 10-1, 10-5
27) Area, perimeter, circumference of plane figures, 9-1
28) Lateral and surface areas of solids, 11-3, 11-4
29) Volume of solids, 11-5, 11-6, 11-6
30) Area of a sector of a circle, 10-5
31) Arc length and arc measure, 9-2
32) Similar solids, scale factor, theorem11-1, 11-8
33) Special right triangles: 45-45-90, 30-60-90 and their sides, 8-2
34) Trigonometry application problems; solving triangles; missing sides or angles,8-3, 8-4
35) Equation of a circle (using center and radius), 9-8
36) Equation of a line: standard form, point-slope form, slope-intercept form, 12-2
37) Graph linear equations; make a table of values or use the slope and any point on the line, 12-1
38) Solve a system of linear equations, 13-2
39) Simplify radicals, operations with radicals,
40) Relationship between slope and lines (***parallel lines have equal slopes, perpendicular lines have slopes that are opposite reciprocals), 12-2
41) Find x-and-y-intercepts of a line (from its equation), 12-1
PRACTICE PROBLEMS
AT END OF EACH CHAPTER. ANSWERS: CHECK THE ODDS IN THE BACK OF THE BOOK AND THE EVENS FROM MY TEACHER TEXTBOOK IN THE ROOM. JUST ASK ME OR THE SUB.
1) pg61-64 #1-10, 25, 29, 35-40
2) pg116-118 #19, 21, 32-35
3) pg171-173 #1-11, 17-27odds
4) pg229-232 #1-15, 17-47odds
5) pg282-283 #11, 13, 25, 26, 29, 31
6) pg329-331 #1-12, 13-21odds, 27, 37
7) pg387-389 #1-11, 15-25odds
8) pg438-439 #25-39
9) pg506 #15, 17, 19, and pg508 #41, 42
10) pg565-567 #1-4, 6, 9, 11, 13, 21-33odds
11) pg637-640 #1-10, 15-35odds
12) pg688 #11-20
13) pg756 #15, 17
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