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Geometry Honors Topic List for Midterm Exam Name: Date: Period: The following is a list of topics that you may use to study for your Geometry Midterm. The topics are listed in the same order that you learned each concept. Reviewing algebra skills such as factoring, simplifying radicals, using quadratic formula and solving systems of equations are embedded in some of the skills below! The sections in the book that relate to each topic are listed in parenthesis after the topic. Unit 1: Use notation to identify segments, rays, planes, lines. (1.1) Use Segment Addition Postulate (1.2) Use distance formula (leaving answers in simplest radical form). Identify congruent segments using distance formula. (1.2/1.3) Use midpoint formula to find midpoint of segment. Use midpoint formula to find endpoint of segment given one endpoint and the midpoint. (1.3) Find lengths of segments given the midpoint of a segment (1.3) Name and classify angles (1.4) Use the Angle Addition Postulate (1.4) Find measures of angles given an angle bisector (1.4) Perform congruence transformations (translations, reflections, and rotations) on the coordinate plane (make sure you know the rules!!!) (4.8) Advanced reflections (know the rules for reflecting across the lines y = x, y = -x, and vertical and horizontal lines) (9.3) Advanced rotations (know the rules for rotating about a point other than the origin) (9.4) Unit 2: Find measures of complementary, supplementary, linear pairs, and vertical angles (1.5 and 2.7) Use Linear Pair Postulate, Vertical Angles Theorem, Congruent Complements Theorem and Congruent Supplements Theorem to find measures of angles. (2.7) Identify angle pairs formed by two lines intersected by a transversal (corresponding, alternate interior, alternate exterior, and consecutive interior angles) (3.1) Find measures of angles formed by parallel lines cut by a transversal (Corresponding Angles Postulate, Alternate Interior Angles Theorem, Alternate Exterior Angles Theorem, and Consecutive Interior Angles Theorem) (3.2) Prove lines are parallel using the Alternate Interior Angles Converse, Alternate Exterior Angles Converse, Corresponding Angles Converse, and Consecutive Interior Angles Converse Complete Algebraic Proofs (3.3) Complete proofs involving angle pairs formed by parallel lines cut by transversal (2.5 & 3.2 – 3.3) Find slopes of lines. (3.4) Use slope to determine if lines are parallel, perpendicular, or neither. (3.5) Write equations of parallel and perpendicular lines (3.5) Unit 3: Unit 4: Classify triangles by side length and by angle measure (4.1) Use Triangle Sum Theorem to find angle measures in triangles (4.1) Use Exterior Angle Theorem to find measures of interior and exterior angles of triangles (4.1) Use Properties of Isosceles and Equilateral Triangles to find angle measures and side lengths (4.7) Classify Triangles on the coordinate plane using distance formula and slope formula (4.1 and 4.7) Congruent Triangle Proofs: SSS, SAS, ASA, AAS, HL and CPCTC (4.3, 4.4, 4.5, and 4.6) Solve proportions. (6.1) Use proportions to solve geometric and real world applications (6.1 and 6.2) Use extended ratios to solve problems (6.1) Find the geometric mean of two numbers (6.1) Use similar figures to find angle measures and side lengths (6.3) Find perimeters of similar figures (6.3) Find scale factors of similar figures (6.3) Identify similar figures and write similarity statements (6.3) Use AA~ to determine if triangles are similar (6.4) Use AA~ with indirect measurement to find lengths (6.4) Identify similar triangles using SSS~ and SAS~ (6.5) Use Triangle Proportionality Theorems (Side Splitter Theorem, three parallel lines intersecting two transversals proportionality theorem, and angle bisector proportionality theorem) (6.6) Perform dilations given a scale factor (6.7) Determine if a dilation is a reduction or an enlargement and identify scale factor (6.7) Perform dilations on the coordinate plane (centered at the origin and centered at a point other than the origin) (6.7 and 9.7)