Download GEOMETRY_REVIEW

GEOMETRY:
CONGRUENT TRIANGLES - triangles whose vertices can be paired in such a
way that all the corresponding parts of the triangles (three pair corresponding sides and
three pair corresponding angles) are equal.
METHODS OF PROVING TRIANGLE CONGRUENCE:
SAS=SAS; ASA = ASA; SSS=SSS; AAS=AAS
METHODS OF PROVING RIGHT TRIANGLE CONGRUENCE
HA=HA; LA=LA; LL=LL; HL=HL
SIMILAR TRIANGLES - triangles whose vertices can be paired in such a way
that their corresponding angles are equal and their corresponding sides are proportional.
METHODS OF PROVING TRIANGLES SIMILAR:
AA=AA;
corresponding. side’s proportional; two pair
corresponding sides proportional and the included angles equal.
RATIO AND PROPORTION
A ratio is a quotient of two numbers.
A proportion is an equation stating that two or more ratios are equal.
In a proportion, the product of the means equals the product of the
extremes.
If the means in a proportion are equal, either mean is called a
geometric mean, or mean proportional, between the extremes.
RIGHT TRIANGLES
PYTHAGOREAN THEOREM: In any right triangle, the square of the
hypotenuse is equal to the sum of the squares of the legs.
PYTHAGOREAN TRIPLES:
3-4-5
5 - 12 - 13
7 - 24 - 25
8 - 15 -17
SUPPLEMENTARY ANGLES - two angles whose sum measures 180
COMPLEMENTARY ANGLES - two angles whose sum measures 90.
Compiled by the Hatboro-Horsham Mathematics Dept. Not to be duplicated.
Sum of the angles of any triangle is 180
Vertical angles are equal.
1
ISOSCELES - RIGHT TRIANGLE ( 45 - 45 - 90 )
2
1
1
HALF EQUILATERAL TRIANGLE ( 30 - 60 - 90 )
2
3
60
1
PARALLEL LINES
If two parallel lines are cut by a transversal then,
a) their alternate interior angles are equal
b) their corresponding angles are equal
c) their interior angles on the same side of the transversal are
supplementary.
BASIC CONVERSION:
Convert 20 miles per hour to feet per second:
20
miles  5280 feet   1hour   1min  88
ft / sec

 
 
 
hour  1mile   60 min   60sec 
3