Theorems & Symbols
Angles
Line Segments + Angles?
Midpoint & Distance
Surprise
100
Triangles can be proven congruent by
SAS, SSS, ASA, AAS and HL Theorems
100
Angles that are opposite and equal
Vertical Angles
100
The sum of the lengths of two sides of a triangle > the 3rd side
Triangle Inequality Theorem
100
What is the midpoint formula?
100
What is the symbol that describes an angle?
∠
200
Triangles can be proven similar by
AA, SAS and SAS Similarity Theorems
200
ΔABC is an isosceles triangle. Line segment AB = Line segment AC. If angle B is 75 degrees, what is angle A?
30 degrees
200
DE=
1/2 AB
200
What is the distance formula?
200
(Triangle FGH) If Line Segments FG = HG, then ∠H = ∠F
What theorem does this statement show?
Isosceles Triangle Theorem
300
Theorem which states that the sum of the measures of the angles of triangle = 180 degrees.
Triangle Angle Sum Theorem
300
Opposite angles in inscribed quadrilaterals are
Supplementary
300
#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
300
Find Midpoint of (-4,4), (5,-1)
(0.5, 1.5)
300
Angles that are adjacent and equal 180 degrees
Supplementary Angles
400
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
400
Consecutive angles in Parallelograms are
Supplementary
400
#5 on Geometry Assessment Handout
Yes because a and b are greater than c.
400
Find distance of (-2,3) and (-7,7).
6.403...
400
#9 on Geometry Assessment Handout
What is the midpoint of points B(4,-2) and C(0,6)?
(2,2)
500
(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
500
Sum of angles in any polygon is
(n-2) 180
500
#6 on Geometry Assessment Handout
12 < c < 52
Because of:
32-20 < c < 32+20
500
Find distance of (6,4) and (-5,-1).
12.083..
500
#10 on Geometry Assessment Handout
What is the distance between points P(-2,6) and Q(3,-6)?
13