Study for Test 1 – Chapters 1,2,3 – Geometry
MATH 0470 – David Hubbard
1.
Line and angle relationships
1.1. Introductory material (no problems from this section)
1.2. Basic definitions (line, point, midpoint, segment, collinear, etc.)
1.3. More definitions (ray, angle, congruence, acute angle, obtuse angle, right angle,
straight angle, parallel lines, plane, etc.)
1.4. More definitions (complementary angles, supplementary angles, vertical angles,
angle bisector). Segment addition and angle addition problems with variables.
2. Parallel Lines
2.1. Parallel lines cut by a transversal – know alternate interior, alternate exterior, and
corresponding angles are congruent. Know that same-side interior and same-side
exterior angles are supplementary.
2.2. (not covered)
2.3. Be able to prove lines are parallel – using alternate interior, alternate exterior, or
corresponding angles congruent. Know that same-side interior or same-side
exterior angles being supplementary also proves that lines are parallel.
2.4. Know the types of triangles classified by angle (acute, obtuse, and right triangles)
and classified by number of congruent sides (scalene, Isosceles, and equilateral).
The sum of the interior angles of a triangle adds up to 180.
2.5. convex polygons – know the formulas (n = # of sides):
n  n  3
D
2.5.1.
2
2.5.2.
SI = (n – 2)  180
2.5.3.
SE = 360
n2
2.5.4.
For regular polygons: I  
180
 n 
360
2.5.5.
For regular polygons: E 
n
3. Triangles
3.1. Be able to prove triangles are congruent by SSS, SAS, ASA, AAS, HL. Know
which angle is the “included angle” in between 2 sides. Know which side is the
“included side” in between 2 angles. Know that SSA and AAA are invalid for
proving triangles congruent.
3.2. Know how to use CPCTC (corresponding parts of congruent triangles) in a proof.
3.3. Isosceles triangles:
2 sides same measure  2 opposite angles are same measure
2 angles same measure  2 opposite sides are same measure
3 sides same measure  3 angles are same measure
3 angles same measure  3 sides are same measure
Know how to calculate perimeter of a triangle
3.4. Constructions – covered in next test.
3.5. Inequalities for triangles
Know how to determine if sides are valid lengths for a triangle
Know which side must be larger if an angle is larger
Know which angle must be larger if a side is larger