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Transcript
TOPICS FOR GEOMETRY MIDTERM
Geometry
Basic Terms – Chapter 1 & 2
 bisect
 collinear
 coplanar
 length vs. distance
 angle
 line
 ray
 segment
 midpoint
 vertex
 angle measure
 adjacent angles
 vertical angles
 angle bisector
 congruent
 obtuse angle
 acute angle
 exterior angles
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Dec. 2013
right angle
complementary angles
supplementary angles
parallel lines
perpendicular lines
transversal
alternate interior angles
corresponding angles
same side interior angles
CPCTC
isosceles triangle
median
altitude
perpendicular bisector
centroid
orthocenter
circumcenter
Parallel Lines – Chapter 3
 properties of parallel lines
 proving lines parallel
o corresponding angles
o alternate interior angles
o same side interior angles
o two lines perpendicular to the same line are parallel
o two lines parallel to the same line are parallel to each other
Polygons – Chapter 3
 regular polygons
 angles of a triangle
 exterior angle theorem (for triangles)
 angles in a polygon
 sum of interior angles in any n-gon: (𝑛 − 2)180

measure of each interior angle in a regular n-gon:

sum of exterior angles in any n-gon = 360

measure of each exterior angle in a regular n-gon:
(𝑛−2)180
𝑛
360
𝑛
Inequalities for One Triangle – Section 6-4
 each side must be less than the sum of the other two sides
o determining whether a set of 3 sides could form a triangle
o determining the largest/smallest length for the third side, given 2 sides
 largest side opposite largest angle; smallest side opposite smallest angle
Congruent Triangles- Chapter 4
 5 ways to prove triangles congruent:
o
SSS, SAS, ASA, AAS
o
HL – must be a right triangle
o
NOT SSA!
 CPCTC: Using congruent triangles to prove segments or angles congruent
 Isosceles Triangle Theorem and its converse
 Perpendicular Bisector Theorem