Segment Addition
If DE=7x+1, EF=4x-3, and DF=42, Find x
7x+1+4x-3=42
x=4
Given the points below, Find XY. *Use distance formula*
X(-9,2) and Y(5,-4)
d=15.23
What are the 5 types of Angle Relationships?
Adjacent, Vertical, Complementary, Supplementary, and Linear Pair
What are the five types of angle relationships that involve parallel lines?
Corresponding, Alternate Interior, Alternate Exterior, Consecutive Interior, and Consecutive Exterior
The slope of parallel lines are ___________?
The same
If S is the midpoint of RT, RS=5x+17, and ST=8x-31, find RS.
5x+17=8x-31
x=16
RS=97
Given the points below, Find XY. *Use distance formula*
M(-1,2) and N(4,0)
d=5.39
If mTUV =(9x+1), mTUW=(7x-9), and mWUV=(5x-11), find the value of X.
7x-9+5x-11= 9x+1
x=7
Fill in the blanks:
Corresponding angles are:_____________
Alternate exterior and interior angles are:___________
Consecutive exterior and interior angles are:___________
Corresponding angles are CONGRUENT.
Alternate exterior and interior angles are CONGRUENT
Consecutive exterior and interior angles are SUPPLEMENTARY
The slope of perpendicular lines are _____________
Opposite Reciprocals (Flip and Change)
If line y bisects AC, AB=4-5x, and BC=2x+25, find x.
4-5x=2x+25
x=-3
Find the midpoint of AB if A(-3,8) and B(-7,-6).
If angles A and B are supplementary what is the value of x? mA=(7x-1) and mB=(6x-1)
7x-1+6x-1=180
x=14
Angles A and B are corresponding angles. What is the value of x? mA=(8x+20) and mB=(11x-31)
8x+20=11x-31
x=17
Are these line parallel or perpendicular?
Line 1: (9,10) & (-5,2)
Line 2: (-8,-2) & (-1,2)
Parallel
If RS=23-2x, ST=9x-5, and RT=39, find the value of x.
23-2x+9x-5=39
x=3
Find the midpoint of HK if H(-1,2) and K(-7,-4).
MP= (-4,-1)
Angles A and B are VERTICAL angles. What is the value of x? mA=(5x+4) and mB=(8x-71)
5x+4=8x-71
x=25
Angles A and B are consecutive interior angles. Find the value of x. mA=(9x-4) and mB=(5x+16)
9x-4+5x+16=180
x=12
Are these lines parallel, perpendicular, or neither?
Line 1: (-8,7) & (-7,2)
Line 2: (-8,13) & (-11,-2)
Neither
If LN=6x-5, LM=x+7, and MN=3x+20, find MN.
x+7+3x+20=6x-5
x=16
MN=68
Find ST if S(-3,10) and T(-2,3). DISTANCE FORMULA
d=7.07
If BD bisects ABC, mDBC=79, and mABC=(9x-4), find the value of x.
79+79=9x-4
x=18
Angles A and B are alternate interior angles. Find the value of x. mA=(7x+12) and mB=(12x-28)
7x+12=12x-28
x=8
Write a linear equation that passes through the point (2,-9) and has a slope of -5. y=mx+b
y=-5x+1