Geometry: First Semester Test (Midterm) 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
An editable version
of the test is now included so you can easily make multiple versions or customize to fit your needs! PowerPoint and Equation Editor (usually built in to PowerPoint) are required to edit this file. If your Equation Editor is incompatible with mine, simply delete my equation and insert your own.
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