Angle Bisector
Divides an angle into 2 congruent angles
Find the value of x:
x=17
What is the vertical angels theorem?
If two angles are vertical angles, then they are congruent
Name the figure below:
Ray
Vertical Angles
2 angles whose sides are opposite rays
What is the measure of each angle if ∠LMN and ∠QMR are vertical angles and m∠LMN=(4x+10) and m∠QMR=(5x+2)?
m<LMN= 42°
m<QMR= 42°
What theorem shown in the picture below?
Alternate interior angle theorem
Definition of Plane
An endless flat surface
Alternate Exterior Angles
Angles that lie outside a pair of lines and on opposite sides of a transversal
Find the measure of all the variables:
m<X=104°
m<Y=104°
m<Z=76°
Name the postulate: If 2 angles form a linear pair, then they are supplementary
Linear Pair Postulate
What is the hypothesis in this conditional: If 2 angles add up to 90 degrees, then they are complementary.
2 angles add up to 90 degrees
A line that intersects 2 or more lines
Find the measures of <a, <b, <c,<d, <e, <f, <g
m<a=50°
m<b=67°
m<c=67°
m<d=63°
m<e=130°
m<f=50°
m<g=67°
What theorem proves that <1≅<2, if the lines are parallel?
Corresponding Angles Theorem
What are the values of both x and y?
x=38
y=25
Corresponding Angles
Angles in the same place on different lines
If m<1=95°, find the measures of all the angles
m<2=85°
m<3=95°
m<4=85°
m<5=85°
m<6=95°
m<7=85°
m<8=85°
What theorem proves that <3≅<6 and <4≅<5?
Alternate interior angle theorem
Solve for m<1, m<2, m<3 & m<4
m1=88°
m<2=23°
m<3=35°
m<4=145°