Download Final Exam Topics - Bloomsburg Area School District

Geometry
Final Exam Topics
Chapter 1: Definitions: point, line, plane, space, line segment, ray, opposite rays, collinear, coplanar,
postulate, theorem, congruent, midpoint, segment bisector, angle, acute, right, obtuse, straight
angles, congruent angles, adjacent angles, and angle bisector
Topics:
 Segment addition postulate
 Angle addition postulate
 Through any 2 points there is exactly one line.
 Through any 3 noncollinear points there is exactly one plane.
 If two planes intersect, they form a line.
Pages to look at: 16, 22
Chapter 2: Definitions: conditional statements, hypothesis, conclusion, converse, biconditional statements,
vertical angles, supplementary, complementary, perpendicular lines.
Topics:
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Algebraic Properties (addition, subtraction, multiplicative, division, substitution, reflexive,
symmetric, transitive)
 Midpoint Theorem
 Angle Bisector Theorem
 Complementary and Supplementary angle theorems
 Vertical angles are congruent
 Perpendicular line theorems on pg. 56
Pages to look at: 52-53, 58
Chapter 3: Definitions: Parallel lines, skew lines, transversal, alternate interior angles, same-side interior
angles, corresponding angles, triangles, scalene, isosceles, equilateral, acute, obtuse, right,
equiangular, polygon, regular polygon, inductive and deductive reasoning.
Topics:
 Corresponding angles are congruent
 Alternate interior angles are congruent
 Same-side interior angles are supplementary
 Sum of measures of angles of a triangle is 180 degrees.
 Sum of measures of interior angles of a polygon is (n-2)180
 Sum of measures of exterior angles of polygon is 360 degrees
Pages to look at: 81, 86-87, 97,104
Chapter 4: Definitions: median of a triangle, altitude, and perpendicular bisector
Topics:
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Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
ASA, SSS, SAS, AAS, HL
Isosceles triangle theorem
Parts of Isosceles Triangle
Equilateral triangles are also equiangular.
Page to look at: 137
Chapter 5: Definitions: Parallelogram, rectangle, rhombus, square, trapezoid, median of trapezoid, parts of
trapezoid, and isosceles trapezoid.
Topics:
 Properties of parallelograms
 Opposite sides are congruent
 Opposite angles are congruent
 Diagonals bisect each other
 Properties of special quadrilaterals
 Parallel line theorems on pg. 177-78
 Find length of median of a trapezoid
Pages to look at: 169-170, 175, 180-181, 187, 192
Chapter 6:
Topics:
 Inequalities in a triangle.
 Triangle Inequality Theorem
Pages to look at: 221-223
Chapter 7: Definitions: ratio, proportion, similar, and scale factor
Topics:
 Properties of proportions
 AA Similarity Postulate
 SSS Similarity Theorem
 SAS Similarity Theorem
 Corollary on pg. 270
Pages to look at: 243-244, 247, 251, 257, 266, 272
Chapter 8: Definitions: parts of a right triangle, sine, cosine, and tangent ratios
Topics:
 Pythagorean Theorem
 Special Right Triangles – 45,45,90 and 30, 60, 90
 Sin, Cos, and Tan ratios
 Angle of depression and angle of elevation
Pages to look at: 292-293, 297, 301, 302, 308, 314-315, 319
Chapter 13:
Topics:
Distance between 2 points d 
y  y1
 Slope m  2
x 2  x1
 x  x2 y1  y 2 
,
 Midpoint  1

2 
 2
Pages to look at: 526,532,545

x2  x1 2   y2  y1 2
Chapter 11:
Topics:
 Find perimeter and area of rectangle, square, parallelogram, triangle, and trapezoid.
 Find circumference and area of circles.
Pages to look at: 426,431,436-437, 448-449
Chapter 12:
Topics:
 Find surface area of rectangular prisms, spheres, cones, and cylinders.
 Find volume of rectangular prisms, spheres, cones, and cylinders.
Look at: formula sheet, surface area and volume review worksheets
Chapter 9: Definitions: Circle, center, radius, diameter, secant, chord, tangent line, point of tangency,
sphere, arc, major and minor arcs, semicircle, central angles, inscribed angles, congruent circles,
and concentric circles.
Topics:
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A line tangent to a circle is perpendicular to radius at the point of tangency.
Central angle measure = arc measure
Inscribed angle measure = ½ arc measure
Congruent arcs have congruent chords
Congruent chords are equidistant from the center.
Measure of the angle formed by a chord and a tangent line is ½ the measure of the arc
Diameter is perpendicular to a chord then it bisects the chord and the arc.
If a quadrilateral is inscribed in a circle, then opposite angles are supplementary.
The measure of an angle formed by two chords that intersect inside a circle is equal to ½
the sum of the intersected arcs.
 The measure of an angles formed by two secants or tangents is equal to ½ the difference
of the intercepted arcs.
Pages to look at: 341, 347, 354, 358-359