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
What is the word for when something is exactly the same shape/size in geometry?
congruent
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
If you have a 45-45-90 triangle and the leg has a length of 10 feet, what is the length of the hypotenuse of the triangle?
10 square root of 2
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
DAILY DOUBLE
What did Piper dress up as during the "cartoon day" from spirit week?
Betty Boop
400
The following segments can or cannot form a triangle? The sides are 3,4,9
No because 3 and 4 are less than 9.
400
Find distance of (-2,3) and (-7,7).
6.403...
400
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
Who is known as the "father of geometry?"
Euclid
500
If a triangles has sides that are all 10 inches, what are the measures of each interior angle of the triangle?
60 degrees
500
Find distance of (6,4) and (-5,-1).
12.083..
500
What are things in math that you can't prove are true, but have to be given and accepted as true to further prove theorems?
postulates