Objectives covered: By the end of this unit YOU WILL BE ABLE...
to use only a compass and straightedge to copy an angle
to use only a compass and straightedge to copy a line segment
to use only a compass and straightedge to bisect an angle
to use only a compass and straightedge to bisect a line segment
to use only a compass and straightedge to draw parallel lines
to use only a compass and straightedge to draw perpendicular lines
to identify and prove angle relationships when a transversal passes through parallel lines
to construct and analyze the converse, inverse, and contrapositive of a conditional statement
to identify and apply inductive and deductive reasoning
to prove algebraic equations using properties of equality
to prove angle relationships and line relationships using properties of congruence and theorems
Extra resources for basic constructions (angle bisector, perpendicular bisector, copying an angle, copying a line segment):
"khan academy geometry consturct an angle bisector using a compass and straightedge"
"khan academy geometry constuct a perpendicular bisector using a compass and straightedge"
"math is fun geometry constructions"
PUZZLES!! "euclidea"
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Extra resources for constructing parallel and perpendicular lines:
"math is fun geometry constructions"
PUZZLES!! "euclidea"
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Extra resources for transversals and parallel lines:
"ck12 parallel lines and transversals"
"math aids parallel lines"
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Extra resources for properties of parallel lines:
"math aids parallel lines"
"khan academy parallel lines geometry"
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Extra Resources for Statements Logic:
Conditional Statements
"math goodies conditional statement lesson"
Practice: https://www.geogebra.org/m/y6udrprw
https://quizizz.com/admin/quiz/59a9b1fabed81a100095ed34/conditional-statements-practice
"IXL geometry converses inverses contrapositives"
Biconditionals
"math goodies lesson biconditional"
"IXL geometry biconditionals"
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Extra Resources for Inductive and Deductive Reasoning:
Patterns and Inductive Reasoning
"khan academy arithmetic patterns and problem solving practice finding patterns in numbers"
"science direct inductive reasoning"
"mcc deductive and inductive reasoning"
"fun brain jr shape shack" (needs flash)
Deductive Reasoning
"mcc deductive and inductive reasoning"
"sophia tutorial law of syllogism and law of detachment"
"quora what is the law of detachment and syllogism"
"shmoop logic detachment syllogism"
"calc workshop law of syllogism and detachment"
"quia law of detachment and syllogism"
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Extra Resource for Algebraic Proofs:
"math help algebraic proofs" (Select HS Geometry if needed)
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Extra Resources for Proving Angles Congruent:
Prove Angles Congruent
"scarasdale ways to prove angles congruent" (PDF)
"skyline proving angles congruent" (practice)
"IXL geometry proofs involving angles"
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Extra Resources for Parallel Proofs:
Lines and Angles:
"wyzant geometry angle theorems"
"ck12 theorems about lines and angles"
"khan academy geometry line and angle proofs"
"softschools proofs involving angles"
"classzone geometry test practice"
Random Practice: "proof companion"
Prove Lines Parallel:
"wsfcs k12 proving lines parallel"
"IXL geometry proofs involving parallel lines"
"mathbitsnotebook geometry parallel and perpendicular proofs"
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Extra Resources for Indirect Proof:
"ck12 indirect proofs geometry"
"dummies indirect proofs"
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Extra Resources for Triangle Inequality Theorem:
"IXL geometry triangle inequality theorem"
"math aids geometry triangle inequality theorem"
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Extra Resources for the Hinge Theorem:
"ck12 hinge theorem"
"mathbitsnotebook hinge theorem"
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