Name:______________________
Points A, B, C are collinear. B is between A and C. Find the following.
1) Find AB and BC if AB=4x+2 and BC=2x+1 and AC=45
AB=30
BC=15
2) Find AC if B is the midpoint of AC, BC=5x+2, and AC=12x-2
AC=34
3) Find x, AB, and AC if AC=3x+3, AB= -1+2x, and BC= 11.
X=7
AC=24
AB=13
Points A, B, C, D, and E are collinear and in that order. Answer the following.
4) Find AC if AE= x+50 and CE= x+32.
AC=18
Diagrams are NOT necessarily drawn to scale. All answers must be exact.
1. If A, B, C, and D are collinear and AB = BC = CD.
If the coordinate of point A is x and coordinate of C is y,
find the coordinate of B and D (in terms of x and y).
1.
B= (y+x)/2
D=2Y-((y+x)/2)
2. Point U is between points R and N. RU is six more than twice UN.
The coordinate of point R is 15 and the coordinate of point N is 22.
Determine the coordinate of point U.
2.
Coordinate point of U= -4 and 2/3
3. The measures of two angles are in the ratio 5:3.
The measure of the larger angle is 30 greater than
half the difference of the angles.
Find the measure of each angle.
Smaller Angle=22.5
Larger Angle=37.5
3.
4. Given: 1, 2, and 3 determine a line.
m3  20
2
m2  m1  (m1  m3) .
5
Find m2 .
m<1= 63 1/3
m<2= 96 2/3
5. The measures of two complementary angles differ by x.
Express the measure of the larger angle in terms of x.
4.
1
2
3
5.
Larger Angle B=(90+x)/2
6. The letters A through P designate sixteen collinear points such that B is the midpoint of AC,
C is the midpoint of AD, D is the midpoint of AE, and so on. If AD = 8, find MP.
MP=8