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Transcript
Geometry Semester I Exam Name: ____________________ Date: ________ Topics Period: _________ The following are topics that you need to know for your semester I final exam. In the parentheses behind each topic are the sections where each topic can be found. Know the definition of: o vertical angles o congruent o adjacent angles o acute angle o perpendicular lines o obtuse angle o parallel lines o right angle o skew lines o linear pair o transversal o scalene triangle o collinear o equilateral triangle o coplanar o isosceles triangle o supplementary angles o equiangular triangle o complementary angles o CPCTC o midpoint o Line segment o angle bisector o Segment bisector Know the following formulas: o Slope-intercept form o Distance formula/Pythag. Thm. o Point-slope form o Midpoint formula o Slope formula Intersection of points, lines, planes, and how to interpret a drawing of each (1.1) Calculate the measures of line segments and angles (1.2) (1.4) Calculate the distance between two points using the Distance Formula OR Pythagorean Theorem and use those distances to find the perimeter and area of a triangle, rectangle, or square (1.3) (1.6) Calculate the coordinates of a midpoint when given two endpoints (1.3) Calculate the coordinates of an endpoint when given a midpoint and an endpoint (1.3) Make a conjecture based on given information. (2.1) Identify the property used to justify a given statement. (2.6) Classify angle pairs as vertical, linear pair, alternate interior, alternate exterior, corresponding, consecutive interior, or consecutive exterior. (3.1) Use the angle pair relationships listed above to find angle measures. (3.2) Calculate the slope of a line when given two points. (3.3) Determine if two lines are parallel, perpendicular, or neither by their slopes. (3.3) Write the equation of a line when given a slope and a point, and two points. (3.4) Write the equation of a line parallel and perpendicular to a given line when given the equation of a line and a point. (3.4) Find the point along a directed line segment that partitions it into a given ratio. (Ch. 3) Classify a triangle by its sides and angles. (4.1) Use the Triangle Sum Theorem, Exterior Angle Theorem, and Third Angle Theorem to find missing angle measures. (4.2) Use a congruency statement to determine corresponding parts of congruent triangles and determine angle measures. (4.3) Recognize and use SSS, SAS, ASA, AAS, and HL to show triangles are congruent. (4.4 – 4.5) Use SSS, SAS, ASA, AAS, and HL to prove triangles are congruent (4.4 – 4.5) o Use CPCTC to prove parts of the triangles are congruent. (4.4 – 4.5) Use properties of isosceles triangles (Theorem. 4.9/4.10) to find missing angles measures. (4.6) Identify a geometric transformation and formulate the change made to the original points Construct using a compass and protractor: Videos: http://www.mathopenref.com/constructions.html o the perpendicular bisector of a line o a line parallel to a given line through a given point by copying an angle Proofs: You need to know how to do each of the following: Prove two segments congruent Prove angles congruent when given parallel lines o Prove the alternate interior angles theorem, vertical angles theorem, and corresponding angles postulate Prove triangles congruent (ASA, AAS, SAS, SSS, HL)/parts of a triangle are congruent (CPCTC) Prove you have a midpoint, segment bisector, angle bisector, or a triangle is isosceles.