Angle Pair Relationships
Basic Vocab
Parallel/Perpendicular Lines
Theorems
Triangles
100
Solve for x
135°
100
Given the rectangular prism, are EF and AE parallel, perpendicular or skew?
Perpendicular
100
Definition of parallel lines
Lines that lie in the same plane and never intersect
100
What theorem justifies that angle 1 is congruent to angle 4?
Vertical angles theorem
100
A triangle that has at least 2 congruent sides
Isosceles
200
Solve for x
x = 35
200
What angle is same side interior to <6?
<4
200
These angles are always formed when two lines are perpendicular
Right angles
200
What theorem proves this statement?
If lines l and m are parallel, then angles 3 and 5 are supplementary.
Same-side interior angles theorem
200
A point that joins 2 sides of the triangle
Vertex
300
Solve for x and y
x= 55°, y= 65°
300
What type of angles are <3 and <6?
Alternate Interior Angles
300
Given that a and b are parallel, find the value of x.
60o
300
What theorem proves this statement?
If lines l and m are parallel, then angles 2 and 7 are congruent.
Alternate Exterior angles theorem
300
The sum of the measures of all angles of a triangle
180o
400
Solve for x
x = 15
400
In the rectangular prism, name a plane parallel to ACGE.
Plane DBFH
400
Given a line and a point not on that line, how many lines parallel to this original line can be drawn through the point?
1
400
What theorem proves this statement?
If angles 1 and 5 are congruent, then lines l and m are parallel.
Converse of the corresponding angles postulate.
400
The formula for the Pythagorean theorem
a^2+b^2=c^2
where a and b are measures of the sides, and c is the measure of the hypotenuse
500
Solve for x and y
x=35, y=60
500
Name all angles supplementary to <5
<6, <7, <3, <2
500
Given the diagram, determine whether a||b.
a is not parallel to b, because the corresponding angles are not congruent.
500
What theorem proves this statement true?
If m<4 = m<6, then l is parallel to m.
Converse of alternate interior angles theorem
500
Find the measure of angle VUX
156o