Theorems & Triangles
Angle Relationships
Line Segments + Angles?
Midpoint & Distance
Surprise
100
Name the Triangle Sum Theorem
m<1 + m<2 + m<3 =180
100
Angles that are opposite and equal
Vertical Angles
100
Line Segment AC has a point B between them. If AC equals 35 and AB = BC, what is the value of BC?
17.5
100
What is the midpoint formula?
100
What is the symbol that describes an angle?
∠
200
If exterior angle of a triangle equals 130, and the two opposite interior angles equal 16x +4 and 14x +6. What is the value of x?
x = 4
200
Angles that are opposite sides of the transversal and inside parallel lines are called
Alternate Interior Angles
200
Line segment AC with B between them. AB = 14 and BC = 16 What is AC?
30
200
What is the distance formula?
200
Describe in words ABCD.... in a straight line
Collinear
300
interior measures of a triangle's angles are 82, 42 and x. What is x?
x=56
300
same side angles inside parallel lines cut by a transversal are?
Supplementary
300
< ABD is equal to 175 degrees. Ray BC is an angle bisector of <ABC What is the measure of ABC?
87.5
300
What is the distance between (10, 7) and (10,9)
2
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
Alternate Exterior Angles are
Congruent
400
2 angles that add up to 90 degrees are
Complementary
400
Point A is (-2,4) and point B is (7,3). What is the midpoint of line segment AB?
(2.5, 3.5)
400
Create a ray AB that has a common endpoint of ray BC.
<ABC
500
Interior angles of a triangle are x+34, x+64 and 90.
What are the triangle's 3 angle measures?
30,60,90
500
Angles that lie in the same position on the parallel lines and transversal are
Corresponding
500
What is another word for supplementary angles?
Linear Pairs
500
Find Midpoint of (-4,4), (5,-1)
(0.5, 1.5)
500
Name all pairs of corresponding angles.
1,5
3,7
2,6
4,8