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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.