Capital Prep Geometry 2015-2016 Albani-Ethier Geometry Midterm Review Guide Guidelines for Studying 1. Review vocabulary and theorems/properties for each objective using the notes/worksheets you have from class and/or internet resources. 2. Review all previous quizzes/assessments and correct mistakes. 3. Complete the IXL assignments due Jan 11th 4. Use a highlighter, crayon, or colored pencil to highlight problems or sections that you need/want to review in class. Student Learning Objective (SLO) Important Vocab/Theorems/Pr operties 1.1 Understand and represent the basic terms and postulates of geometry and their relationship to points, lines, and planes (G.CO.1) Point, Line, Plane, Ray, Segment, Angle, Postulate, Parallel, Perpendicular, Midpoint, Skew, Congruence Points, Lines, Planes notesheet Angle Addition Postulate Segment Addition Postulate Basic Geometric Terms Assessment 1.2 Make and apply basic constructions using a straightedge, compass, and protractor to create transformations (translations, reflections, Transformation Translation Vector Reflection Rotation Center of Rotation Dilation Scale Factor Notes/Worksheets to Review from Class Segments, Rays, Parallel Planes notesheet Unit 1 Vocab Packet IXL Skills (Geometry) Rubric B.1 Lines, line segments, and rays B.2 Lengths of segments on number lines B.3 Additive property of length B.4 Midpoints B.5 Congruent line segments C.1 Angle vocabulary C.2 Angle measures 4 – ≥95% on all skills 3 – ≥90% on all skills 2 – ≥80% on all skills 1.5 - ≥80% on at least two skills 1 – Started to work on account 0 –Not started L1 Translations: graph the image L3 Translations: write the rule L4 Reflections: graph the image L7 Rotations: graph the image L9 Classify congruence transformations 4 – ≥80% on all skills 3 – ≥80% on five skills 2 – ≥80% on three skills 1.5 - ≥80% on at least one skill 1 – Started to work on account 0 – No activities were proficient 1-3 Measuring Segments 1-4 Measuring Angles Angle Practice Packet Notes on Rotations, Reflections, and Translations Practice 9-1, Practice 9-2 Introduction to Patty Paper Rigid Motions Review Capital Prep Geometry 2015-2016 Albani-Ethier rotations, dilations) on the coordinate plane (G.CO.4, G.CO.2) 1.4 Use symmetry (rotational and reflectional) to describe which transformations carry a figure onto itself (including rectangle, parallelogram, trapezoid, and regular polygons). (G.CO.3, G.CO.5) 1.5 Prove the slope criteria for parallel and perpendicular lines and apply criteria to solve problems. (G.GPE.5) Rigid Motions Study Guide L10 Compositions of congruence transformations O1 Line symmetry O2 Rotational symmetry 4 – 100% on all skills 3 – ≥80% on two skills 2 – ≥80% on one skill 1.5 – attempted one skill 1 – Started to work on account 0 – No activities were proficient D1 Identify parallel, perpendicular, and skew lines E1 Coordinate plane review E2 Slopes of lines E5 Slopes of parallel and perpendicular lines E3 Graph a linear equation E4 Equations of lines E6 Equations of parallel and perpendicular lines B7 Midpoint formula B8 Distance formula 4 – ≥80% on all skills 3 – ≥80% on first four skills 2 – ≥80% on two of first four skills 1.5 – ≥70% on at least two skills 1 – Started to work on account 0 – No activities were proficient Rigid Motions Assessment Symmetry Reflectional Symmetry Rotational Symmetry Order Angle of Rotation Line of Symmetry Symmetry Notes Slope Parallel Perpendicular Reciprocal 3-7 Equations of Lines in the Coordinate Plane Symmetry Practice Packet Symmetry Assessment 3-8 Slopes of Parallel and Perpendicular Lines Parallel and Perpendicular Assessment 1.6 Apply distance formula in the coordinate plane to (a) find the distance between points; (b) find the coordinates of a point that divide a segment into a given ratio; (c) prove geometric theorems; (d) and Distance Formula Midpoint Formula Square Root 1-7 Midpoint and Distance in the Coordinate Plane 4 – 100% on all skills 3 – ≥80% on two skills 2 – ≥80% on one skill 1.5 – attempted one skill 1 – Started to work on account 0 – No activities were proficient Capital Prep Geometry 2015-2016 Albani-Ethier find perimeter and area of polygons in the plane (G.GPE.4, G.GPE.6, G.GPE.7) 2.2 Prove theorems about congruent angles and lines and apply to solve problems: (a) Prove the vertical angles theorem; (b) Prove the properties of a two parallel lines intersected by a transversal; (c) Prove the points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints. (G.CO.9) Supplementary, Complementary, Linear Angles, Adjacent Angles, Vertical Angles Theorem, Transversal, Corresponding Angles Postulate, Same-Side Interior Angles Theorem, Alternate Interior Angles Theorem, Alternate Exterior Angles Theorem, Perpendicular Bisector Theorem Angle Bisector Theorem Angle Pair Practice 2.3 Recognize congruent figures using corresponding angles and sides AND compositions of rigid motions. (G.CO.6, G.CO.7) Congruent figures Corresponding parts Congruence transformations Reflexive Property Third Angle Theorem Proof Angle Vocab Packet 1-5 Exploring Angle Pairs 3-1, 3-2 Properties of Parallel Lines 5-2 Perpendicular and Angle Bisectors Congruent Segments and Angles Assessment Patty Paper Investigation 2 4-1 Congruent Figures Congruent Figures Centers Proof Reason Glossary 4-1 Practice and Reteaching Fill in the Blank Proofs Identifying Congruence Transformations Rigid Motions Challenge C.3 Identify complementary, supplementary, vertical, adjacent, and congruent angles D.3 Transversals: name angle pairs C.4 Find measures of complementary, supplementary, vertical, adjacent, and congruent angles D.4 Transversals of parallel lines: find angle measures B.6 Perpendicular Bisector Theorem C.5 Angle bisectors C.8 Proofs involving angles D.6 Proofs involving parallel lines I D.7 Proofs involving parallel lines II 4 – ≥80% on all skills 3 – ≥80% on first six skills 2 – ≥80% on four skills 1.5 – ≥70% on at least two skills 1 – Started to work on account 0 – No activities were proficient J.3 Identify congruent figures J.1 Congruence statements and corresponding parts L11 Transformations that carry a polygon onto itself J.2 Solve problems involving corresponding parts 4 – 100% on all skills 3 – ≥80% on all skills 2 – ≥80% on two skills 1.5 – attempted one skill 1 – Started to work on account 0 – No activities were proficient Capital Prep Geometry 2015-2016 Albani-Ethier 2.4 Explain and use the SAS, ASA, and SSS Theorems to prove triangles congruent. (G.CO.8) SAS SSS ASA AAS HL 4-2 Triangle Congruence by SSS and SAS 4-3 Triangle Congruence by ASA and AAS Triangle Congruence Packet K.1 SSS and SAS Theorems K.3 ASA and AAS Theorems K.5 SSS, SAS, ASA, and AAS Theorems K.10 Hypotenuse-Leg Theorem K.2 Proving triangles congruent by SSS and SAS K.4 Proving triangles congruent by ASA and AAS K.6 Proving triangles congruent by SSS, SAS, ASA, and AAS 4 – ≥70% on all skills 3 – ≥80% on first four skills 2 – ≥80% on first two skills 1.5 – ≥70% one skill 1 – Started to work on skills 0 – No activities were proficient