Geometry (9) Semester Exam Outline – December 2014 Unit 1

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Geometry (9) Semester Exam Outline – December 2014
Unit 1: Foundations for Geometry
 Collinear and coplanar points; basic terms and notation; points, lines,
planes, and space (1.1)
 Find length and mid-points of segments (1.2)
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Introduction to Angles
Angle definitions, notation, and properties; classify angles as acute, right,
or obtuse; estimate and construct angles (1.3)
Construct angle bisectors (1.3)
Linear pairs, vertically opposite, complementary & supplementary angles
(1.4)
Introduction to the Coordinate Plane
Distance in a coordinate plane using the distance formula and pythagoras’
theorem (1.6)
Midpoints in the coordinate plane (1.6)
Transformations in the coordinate plane (1.7)
Unit 2: Geometric Reasoning
 Using Inductive reasoning to make conjectures (2.1)
 Conditional statements (2.2)
 Using deductive reasoning to make conjectures (2.3)
 Algebraic proof (2.5)
 Geometric proof (2.6)
Unit 3: Parallel and Perpendicular lines
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Identify parallel, perpendicular and skew lines (3.1)
Identify angles formed by 2 lines and a transversal; corresponding,
alternate interior, alternate exterior and same-side interior (3.1)
Identify the angles formed by parallel lines and a transversal (3.2)
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Use the angles formed by a transversal to prove two lines are parallel
(3.3)
Construct the perpendicular bisector of a line segment (3.4)
Lines in the co-ordinate plane
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Find the slope of a line (3.5)
Prove lines are parallel or perpendicular using slope (3.5)
Graph lines and write equation in slope-intercept form and point-slope
form (3.6)
Unit 4: Triangle Congruence
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Name parts of triangles (4.1)
Classify triangles as; scalene, isosceles, equilateral / acute, obtuse, right
(4.1)
Find the measures or interior and exterior angles in triangles (4.2)
Apply interior and exterior angle theorem (4.2)
Use properties of congruent triangles (4.3)
Apply SSS and SAS to construct triangle and solve problems. Prove
triangles are congruent using SSS, SAS (4.4)
Apply ASA , AAS & HL to construct triangle and solve problems. Prove
triangles are congruent using ASA, AAS & HL (4.5)
Prove CPCTC (4.6)
Prove theorems about isosceles and equilateral triangles, apply
properties of isosceles and equilateral triangles (4.8)
Angle measures in isosceles triangles (4.8)
Unit 5: Properties and Attributes of Triangles
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Solve problems using perpendicular and angle bisectors of a triangle (5.1)
Construct the circumcenter of a triangle, know and use its properties (5.2)
Construct the incenter of a triangle, know and use its properties (5.2)
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