Geometry Mid-Year (Semester) Test and Study Guide
This 75 question study guide and 60 question first semester test (all multiple choice) was created for a high school Geometry class. Objectives covered are as follows:
-Identify collinear and coplanar points.
-Midpoint Formula: Finding both midpoint and endpoint.
-Midpoint Formula: Solving problems with algebra.
-Solving problems using angle relationships: linear pair, vertical angles, supplementary angles, complementary angles, angle bisectors.
-Compound Statements: Disjunction, conjunction, and determining truth value.
-Conditional Statements: Inverse, Converse, Contrapositive, and Bi-Conditional
-Law of Detachment and Law of Syllogism
-Properties of Equality and Congruence
-Parallel Lines and Skew Lines
-Special Angle Pairs: Alternate Interior, Alternate Exterior, Corresponding, Consecutive Interior
-Parallel Lines Cut by a Transversal: Using Algebra to find missing values.
-Proving Lines Parallel using Alternate Interior, Alternate Exterior, Corresponding, and Consecutive Interior Angles Converses
-Finding the slope of a line using the slope formula.
-Using slope to determine if lines are parallel or perpendicular.
-Writing a parallel or perpendicular line to a given equation passing through a certain point.
-Triangle Sum Theorem: Finding missing angles in triangles with Algebra.
-Triangle Exterior Angle Theorem
-Proving Triangles are Congruent: SSS, SAS, ASA, AAS, and HL
-Determine possible lengths for the sides of a triangle.
-Triangle Inequalities: Ordering sides given angles and angles given sides.
-Similar Triangles and Proportional Parts: Solving algebraic problems for missing sides.
-Determining if Triangles are Similar: AA~, SSS~, and SAS~.
This study guide and test work perfect in conjunction with the following units:
Unit 1 – Geometry Basics
Unit 2 – Logic and Proof
Unit 3 – Parallel and Perpendicular Lines
Unit 4 – Congruent Triangles
Unit 5 – Relationships in Triangles
Unit 6 – Similar Triangles
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