H. Geo Welcome Back Formal Proofs
PROVE:
The hypotenuse of a 45∘-45∘-90∘ triangle is equal to
the measurement of a leg times √ 2
G: 45˚-45˚-90˚ Triangle
ABC with h as the
hypotenuse.
P: h=x 2
Eq. Prop. of Principle
Sq. Roots
Sq. Root Simplification
H. Geo Welcome Back Formal Proofs
PROVE:
In a 30∘-60∘-90∘ triangle the longer leg is equal to the
measurement of the shorter leg times √ 3, and the
hypotenuse is equal to the shorter leg times 2.
H. Geo Welcome Back Formal Proofs
Do we know the definitions for the
following?
Trapezoid
Kite
Parallelogram
Rhombus
Rectangle
Square
Isosceles Trapezoid
H. Geo Welcome Back Formal Proofs
a quad. with exactly one pair of
parallel sides.
H. Geo Welcome Back Formal Proofs
Bases
Legs
Isosceles
Trapezoid
Bases
H. Geo Welcome Back Formal Proofs
a quad. with two distinct pairs of
consecutive congruent sides.
Dart
(concave
kite)
H. Geo Welcome Back Formal Proofs
a quad. with two pairs of parallel sides
H. Geo Welcome Back Formal Proofs
1. a parallelogram with all congruent
sides
2. an equilateral parallelogram
H. Geo Welcome Back Formal Proofs
1. a parallelogram with all congruent
angles
2. an equiangular parallelogram
H. Geo Welcome Back Formal Proofs
1. a parallelogram with four congruent sides
and four congruent angles.
2. an equiangular rhombus
3. an equilateral rectangle
4. a regular parallelogram
H. Geo Welcome Back Formal Proofs
Develop:
1. Pictures
2. Given Statements
3. Prove Statements
FOR Reasons #92-#98 and for
Reasons #102-105. (On Reason
List #4)
You can try starting the proofs if
you want, but we will assign that
later.
H. Geo Welcome Back Formal Proofs
Use as an
example for
Kites.