Theorems & Symbols
Angles
Line Segments + Angles?
Midpoint & Distance
Surprise
100
What is the symbol that describes a triangle?
Δ
100
Angles that are opposite and equal
Vertical Angles
100
#8 on Geometry Assessment Handout
List the sides of triangles from the shortest to longest.
EH, HR, ER
100
What is the midpoint formula?
100
What is the symbol that describes an angle?
∠
200
What is the symbol that describes a line segment (or a side)?
__
BC
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
#7 on Geometry Assessment Handout
List the angles of the triangle from smallest to largest.
AB = 18
AC = 20
CB = 15
Angle A, Angle C, Angle B
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
#3 on Geometry Assessment Handout
What are the measures of angle F, G, and H?
F = 65
G = 50
H = 65
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
#1 on Geometry Assessment Handout
What are the measures of angles 2 and 3?
2 = 60
3 = 150
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 ∠X = ∠Y, then Line Segment YZ = XZ.
What theorem does this statement show?
Converse of the Isosceles Triangle Theorem
500
#2 on Geometry Assessment Handout
What are the measures of angles 1, 2, and 3?
1 = 55
2 = 55
3 = 95
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