Question 1:
B is between A and C. AB = 3x, BC = 2x + 7, AC = 27
a) Draw and label a diagram to illustrate the problem.
b) Solve for x.
c) Find AB and BC.
Question 2:
D lies on the interior of ABC. mABC = 111, mABD = (-10x + 58), mDBC = (6x + 41)
a) Draw and label a diagram to illustrate the problem.
b) Solve for x.
c) Find mABD and mDBC
Question 3:
̅̅̅̅ is M(1,-1). One endpoint is E(-3,2). Find the coordinate of endpoint F.
The midpoint of 𝐸𝐹
Question 4:
⃗⃗⃗⃗⃗⃗ bisects ABC. mABD = (8x + 35) and mDBC = (11x + 23)
𝐵𝐷
a) Draw and label a diagram to illustrate the problem.
b) Find mABD, mDBC and mABC.
Question 5:
UVW and XYZ are complementary angles. mUVW = (x – 10) and mXYZ = (4x – 10)
Find the measure of each angle.
Question 6:
EFG and LMN are supplementary angles. mEFG = (3x + 17) and mLMN = (½x – 5)
Find the measure of each angle
Question 7:
Find mABD.
A

(7x + 2)
C
D


B
(5x + 10)

E
Question 8:
Describe and correct the error in identifying pairs of angles in the figure at the right.
a) 2 and 4 are adjacent
b) 1 and 3 form a linear pair
Question 9:
The figure shows the position of three players during part of a water polo match. Player A
throws the ball to Player B, who then throws the balls to Player C.
a) How far did Player A throw the ball? Player B?
b) How for would Player A have to throw the
ball to throw directly to Player C?
Question 10:
Find the perimeter and area of QRST.
Question 11:
Use the diagram at the right:
a)
b)
c)
d)
e)
f)
Name a ray.
Name a line.
Name a segment.
Name 3 noncollinear points
Name 4 noncoplanar points
Name the intersection of plane M and ⃡⃗⃗⃗
𝑃𝑌
Question 12:
Draw each of the following. Label the diagram as specifically as you can.
a) opposite rays
b) right angle
c) midpoint of a segment
d) angle bisector
e) segment bisector
f) congruent segments
g) congruent complementary angles
h) adjacent supplementary angles