Honors Geometry
Pairs check – Chapter 6
C
1. Given: A, B, P lie in plane m
PC m
BAC  ABC
P
A
Prove: PAB  PBA
2. Given: B, D, W lie in plane m
AB m
CD m
WDB  WBD
WAC  WCA
Prove: ABCD is a parallelogram
B
m
A
C
B
D
W
m
3. m || n
AD  BC and AD || BC.
ABCD is coplanar
mA = 5x + 20
mB = 7x - 20
mC = 3x
m
n
D
A
Find the measure of angle D.
C
B
4. Always/Sometimes/Never
a. Two planes parallel to the same line are parallel.
b. Two lines perpendicular to the same plane are parallel.
c. If a line is oblique to a plane, it is perpendicular to exactly one line in the plane.
d. If a line, l, is perpendicular to plane m and line j is parallel to m, then l || j.
5. e ||g
A, B lie in plane e
C, D lie in plane g
AC  BD = F
mBAC = 3x + 5y
mABD = 3x + 3y +1
mACD = 5x + 75
mBDC = 10x + y
B
A
e
F
Solve for x and y
g
D
C
6. Always/Sometimes/Never
a. If the endpoints of a segment lie in a plane, then all points of the line segment lie in the
plane.
b. If a line is perpendicular to a line in a plane, then it is perpendicular to all lines in the plane
that pass through its foot.
c. Three collinear points determine a plane.
d. If two lines do not intersect, then they are parallel.