Academic Geometry
Name _____________________________________
Segment and Angle Addition
Period # ________
9/18/2001
If B is between A and C, find the value of x and the measure of BC.
1.
AB = 3, BC = 4x + 1, AC = 8
2.
AB = x + 2, BC = 2x – 6, AC = 20
3.
AB = 3, BC = 2x + 5, AC = 11x + 2
4.
Find the value of a so that the distance between points A(4, 7) and B(a, 3) is 5 units.
5.
If DE = 4x – 9 and EF = 7 + 2x, find the value of x sot that DE  EF .
Refer to the diagram on the right to answer each question.
Find the value of x and the measure of each indicated angle.
6.
SXT  3x  4, RXS  2 x  5, RXT  111
R
RXS  ?
Q
7.
S
QXR  x  10, QXS  4 x  1, RXS  91
QXS  ?
P
X
8.
QXR  3x  5, QXP  2 x  3, RXP  x  50
RXT  ?
Draw two angles that satisfy the given conditions.
9.
The angles intersect at three points.
10. The angles intersect in a segment.
T