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Georgia

Unit 2 Frameworks 
All of Unit 2 
Unit 21 : 
Georgia Standards of Excellence (Click to Expand)
MGSE912.G.CO.9: Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segmentâ€™s endpoints.


Unit 22 : 
Basic Geometric Constructions (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.G.CO.12: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
MGSE912.G.CO.13: Construct an equilateral triangle, a square, and a regular hexagon, each inscribed in a circle.
Video Lessons: (p1, p2, p3, p4, p5, p6, p7, p8)
Sample Quiz: (Interactive, PDF)


Unit 23: 
Dilations (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.G.SRT.1:Verify experimentally the properties of dilations given by a center and a scale factor.
a. The dilation of a line not passing through the center of the dilation results in a parallel line and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter according to the ratio given by the scale factor.
Geometer's Sketchpad Demonstration
Video Lessons: (p1, p2, p3, p4, p5)
Sample Quiz: (Interactive, PDF) 

Unit 24: 
Similar Figures (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.G.SRT.2:Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain, using similarity transformations, the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
MGSE912.G.SRT.3: Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
MGSE912.G.SRT.4: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, (and its converse); the Pythagorean Theorem using triangle similarity.
MGSE912.G.SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Video Lessons: (p1, p2, p3, p4, p5, p6, p7, p8)
Sample Quiz: (Interactive, PDF) 

Unit 25: 
Congruence Statements (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.G.SRT.4: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, (and its converse); the Pythagorean Theorem using triangle similarity.
MGSE912.G.SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
MGSE912.G.CO.6:Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
MGSE912.G.CO.7 : Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
MGSE912.G.CO.8: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. (Extend to include HL and AAS.)
Video Lessons: (p1, p2, p3)
Sample Quiz: (Interactive, PDF) 

Unit 26: 
Triangle Proofs (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.G.SRT.4: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, (and its converse); the Pythagorean Theorem using triangle similarity.
MGSE912.G.SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
MGSE912.G.CO.6:Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
MGSE912.G.CO.7 : Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
MGSE912.G.CO.8: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. (Extend to include HL and AAS.)
Geometer's Sketchpad Exploration 1
Geometer's Sketchpad Exploration 2
Video Lessons: (p1a, p1b, p2, p3, p4, p5, p6)
Sample Quiz: (Interactive, PDF) 

Unit 27: 
Locus of Points & Triangle Centers (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.G.CO.10:Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. .
Video Lessons: (p1, p2a, p2b, p3a, p3b, p4, p5)
Sample Quiz: (Interactive, PDF) 

Unit 28: 
Polygon Introduction (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.G.SRT.5:Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
MGSE912.G.CO.10: Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
MGSE912.G.CO.11:Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
Video Lessons: (p1, p2, p3)
Sample Quiz: (Interactive, PDF) 

Unit 29: 
Polygon Angles (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.G.SRT.5:Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
MGSE912.G.CO.10: Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
MGSE912.G.CO.11:Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
Geometer's Sketchpad Intreactive Lab
Video Lessons: (p1, p2, p3, p4, p5, p6)
Sample Quiz: (Interactive, PDF)


Unit 210: 
Quadrilateral Properties (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE912.G.SRT.5:Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
MGSE912.G.CO.10: Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
MGSE912.G.CO.11:Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
Geometer's Sketchpad Lab (Doc, PDF, Key)
Video Lessons: (p1, p2a, p2b, p3a, p3b)
Sample Quiz: (Interactive, PDF) 

TEST : 
Testing Item Banks for Exam View
(251 available questions for Unit 2)
Password Required
ExamView Video Instructions (How To Make a Test)
Author: Matt Winking


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