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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.

-Distance Formula

-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.

-Counterexample

-Compound Statements: Disjunction, conjunction, and determining truth value.

-Conditional Statements: Inverse, Converse, Contrapositive, and Bi-Conditional

-Law of Detachment and Law of Syllogism

-Venn Diagrams

-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

-Congruent Triangles

-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

**NEW!** 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.

**This resource is included in the following bundle(s):**

Geometry Curriculum

**LICENSING TERMS: **This purchase includes a license for ** one teacher only **for personal use in their classroom. Licenses are **non-transferable**, meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at allthingsalgebra@gmail.com.

**COPYRIGHT TERMS:** This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

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.

-Distance Formula

-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.

-Counterexample

-Compound Statements: Disjunction, conjunction, and determining truth value.

-Conditional Statements: Inverse, Converse, Contrapositive, and Bi-Conditional

-Law of Detachment and Law of Syllogism

-Venn Diagrams

-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

-Congruent Triangles

-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~.

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

Geometry Curriculum

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