Download Geometry Midterm Topics

GEOMETRY CP – MIDTERM TOPICS
Quarter 1:
- Unit 1.1: Geometric Foundations, Constructions, and Relationships
o Name and label points, lines, planes, angles (complementary, supplementary, vertical ∡,
linear pair)
o Parallel and perpendicular lines
o Parallel lines and transversal (alt. int. ∡, same-side int. ∡, alt. ext. ∡, corresponding ∡
theorems and their converse)
o Logic (conditional, converse, inverse, contrapositive, bi-conditional)
o Inductive and deductive reasoning (law of detachment and syllogism)
o Distance along a line, midpoint, angle and segment addition
o Constructions (∡ bisector, ⊥ bisector, copying an ∡)
o Triangle Sum Thm, Exterior ∡s Thm.
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Unit 1.2: Transformations
o Def. of rigid motion (isometry, congruence transformations)
o Rules for Reflections (along x-axis, y-axis, y = x), Rotations (90°, 180°, 270°),
Translations, Dilations
o Scale factor problems for a dilation
Quarter 2:
- Unit 2.1: Triangle Congruence
o Def. of congruence (if two ∆𝑠 are ≅, then all of their corresponding parts are ≅)
o Prove thms using triangle congruence criterions (SSS, SAS, ASA, AAS, HL) and CPCTC
o Def. of ∡ bisector and ⊥ bisector
o Isosceles Triangles Thm. and its Converse
o Midsegment of a triangle, median, altitude, centroid, orthocenter
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Unit 2.2: Triangle Similarity
o Identify triangle by its angles and sides
o Def. of similarity (if two ∆𝑠 are ~, then all of their corresponding sides are proportional)
o Similarity Criterions (AA, SAS, SSS)
o ∆ Proportionality Thm and its converse
o Solve similarity problems (ex. shadow and height problem)
o Pythagorean Thm and its Converse
o Geometric Mean (Similar triangles within triangles)
Your tests for each chapter are your best study guides. Please look over and retake all your tests!