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Pre Algebra Test #3 - Study Guide Outline
Quiz 5 (Angle Relationships)
1) Vocabulary
a) Complementary angles (sum is 90 degrees)
b) Supplementary angles (sum is 180 degrees)
c) Adjacent angles (two angles with a common endpoint and common ray)
d) Parallel lines (2 lines in a plane that do NOT intersect)
e) Perpendicular lines (2 lines that intersect and form right angles)
f) Vertical angles (2 angles formed by intersecting lines that are congruent)
g) Right angle (measures exactly 90 degrees
h) Acute angle (measures greater than 0 degrees and less than 90 degrees)
i) Obtuse angle (measures greater than 90 degrees and less than 180 degrees)
j) Straight angle (measures exactly 180 degrees)
k) Vertex (the point where two rays meet in an angle
2) Use Equations to find missing angle measures
Quiz 6 (Parallel Lines, Triangles, and Polygons)
3) Parallel Lines Cut by a Transversal (angle relationships)
a) Corresponding angles
b) Alternate interior angles
c) Alternate exterior angles
d) Recognize when angles are congruent or supplementary
4) Triangles
a) Classify by sides
i. Scalene (no congruent sides)
ii. Isosceles (2 congruent sides and 2 congruent angles); identify vertex angle, base angles
iii. Equilateral (all 3 sides congruent)
b) Classify by angles – use the LARGEST angle!
i. acute (all angles are acute)
ii. right (1 right angle, 2 acute angles)
iii. obtuse (1 obtuse angle, 2 acute angles)
c) Triangle Sum Theorem – The sum of the interior angles of a triangle is 180°.
i. Find the measure of a missing interior or exterior angle.
d) Triangle Inequality Theorem
i. The sum of the two smaller sides must be greater than the longest side.
ii. The largest side is opposite largest angle, the smallest side opposite smallest angle.
5) Polygons (A simple, closed figure, made up of line segments.)
a)
b)
c)
d)
Names of polygons (triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, n –gon, etc.)
Regular polygons (all equal sides and angles)
Convex/Concave polygons
Sum of interior angles   180n  2 ; Sum of exterior angles = 360°
180n  2 
n
360
f) Find measure of one exterior angle of a regular polygon
n
g) Find number of sides given the sum of the interior angles. Solve for n:   180n  2
e) Find measure of one interior angle of a regular polygon
After Quiz 6
6) Similar Figures (word problems)