Solve That Angle
38.3 degrees
What is the midpoint of 9 and 17 on a number line?
Angles whose sides are opposite rays (see picture also)
Vertical Angles
2y = 10x-4
3y = 15x-9
Parallel!
Line segment AC has a length of 39 and a point B somewhere on it. The length of AB is 25. What is the length of BC?
BC = 14
x = 18.4
m Angle TQS = 78.6
What is the midpoint of a line segment with end points (-2,4) and (6,12)?
The midpoint is (2,8)
Angles whose measures add to 180 (hint: they do not need to be adjacent)
Supplementary angles
y = (1/3)x + 5
2y = -6x - 8
Perpendicular
Segment AC has a length of 30. Length of AB = 2x-9 and the length of BC = 3x+14. Solve for x and the lengths of AB and BC
x = 5
AB = 1
BC = 29
Ray GH bisects angle FGI. Find the measure of angles FGH and HGI
both = 30
Point M is located at (24,17) and point N is located at (3,-4). Find the midpoint of segment MN
(27/2, 13/2)
Adjacent angles whose measures add to 180
Linear Pair
Write the equation of a line parallel to y = 3x-4 that goes through the point (1,1)
y = 3x-2
Ray EJ is a bisector of segment DF. E is a point on DF. If DE = (4/5)x + 3 and EF = (1/6)x+8, what is the length of DF?
Length of DF = 300/19
Find the values of x and y
x = 24
y = 34
A line segment ST has a midpoint at (-4,-5). If one endpoint S is located at (-5, 12), what are the coordinates of the other endpoint T?
T is at (-3,2)
See Image!
Alternate Interior
Write the equation of a line perpendicular to y=2x-9 that passes through the point (-1,2)
y = (-1/2)x+3/2
Quadrilateral ABCD has a perimeter of 63. If AB = 18, BC = 3x+2, CD = 14, and AD = 6x+1, what is the value of x?
x = 28/9
Find x+y
x = 20
y = 12
x+y = 32
A line segment QR has a midpoint of (3/2, 1/5). If endpoint Q is located at (-1, 1/5), what are the coordinates of R?
R is at (4, 23/20)
See Image!
Corresponding Angles
Write the equation of a line passing through point (1,4) that is perpendicular to the line with points (-3,2) and (-1,4)
y = -x +5
A trapezoid has a perimeter of 26. Based on the diagram, solve for x.
X = 19/4