Triangles can be proven congruent by
SAS, SSS, ASA, AAS and HL Theorems
Angles that are opposite and equal
Vertical Angles
The sum of the lengths of two sides of a triangle > the 3rd side
Triangle Inequality Theorem
What is the midpoint formula?
What is the symbol that describes an angle?
∠
Triangles can be proven similar by
AA, SAS and SAS Similarity Theorems
ΔABC is an isosceles triangle. Line segment AB = Line segment AC. If angle B is 75 degrees, what is angle A?
30 degrees
DE=
1/2 AB
What is the distance formula?
(Triangle FGH) If Line Segments FG = HG, then ∠H = ∠F
What theorem does this statement show?
Isosceles Triangle Theorem
Theorem which states that the sum of the measures of the angles of triangle = 180 degrees.
Triangle Angle Sum Theorem
Opposite angles in inscribed quadrilaterals are
Supplementary
#4 on Geometry Assessment Handout
Find each line segment length (RS, SQ, RQ) with the following info:
Triangle RSQ is an isosceles triangle.
RQ = x
RS = SQ
RQ = 4
RS = 20
SQ = 20
What is the distance between (10, 7) and (10,9)
2
Angles that are adjacent and equal 180 degrees
Supplementary Angles
Theorem which states the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Exterior Angle Theorem
Consecutive angles in Parallelograms are
Supplementary
What is the sum of all exterior angles on a decagon?
360
Other than distance formula, what other method can be used to find the distance between 2 points?
#9 on Geometry Assessment Handout
What is the midpoint of points B(4,-2) and C(0,6)?
(2,2)
(Triangle XYZ) If m<X = m<Y, then Line Segment YZ
cong
line segment XZ.
What theorem does this statement show?
Converse of the Isosceles Triangle Theorem
Sum of angles in any polygon is
(n-2) 180
What is another word for supplementary angles?
(0.5, 1.5)
#10 on Geometry Assessment Handout
What is the distance between points P(-2,6) and Q(3,-6)?
13