In the figure above, AB is parallel to CD. Which of the following must be equal to s?
Indicate all such values.
Question 1
In the figure above, AB is parallel to CD. Which of the following must be equal to s?
Indicate all such values.
t
u
v
w
x
y
z
Question 2
In the figure above, l1 || l2 and l3 || l4 What is the value of x + y?
Question 3
If ∠ABC = 150° and ∆CED is isosceles, what is the value of ∠CED, in degrees?
Question 4
If 30 < a <64, which of the following could be the value of b + d?
Indicate all such values.
32
108
147
232
247
289
328
Question 5
In the hexagon above, ∠A = 101°, ∠E = 111°, and all other angles are equal. What is the measure of ∠F?
82°
106°
120°
127°
222°
Question 6
In the figure above, what is the sum of x and y in terms of z?
z + 90
180 – 2z
z + 180
Question 7
Note: Figure not drawn to scale
In the figure above, STVW is a square, SX and YZ intersect at point W, and UW is twice as long as UV. What is the value of b?
20°
40°
60°
120°
180°
Question 8
If LMNO is a parallelogram, what is the value of x + y?
75
92
110
128
150
Question 9
A and B are the endpoints of a line segment. Segment AB is crossed through point C by another line segment with endpoints D and E. If ∠ACD > 90˚, and the sum of ∠ACE and ∠BCD is x˚, then which of the following must be true?
x < 90
x > 90
90 < x < 180
x < 180
x > 180
Question 10
In the figure above a + b + f =
180 + (c + d + e)
360 – (c + d + e)
360 + (c + d – e)
540 – (c + d+ e)
540 – (c + d – e)
Question 11
If a regular polygon has x angles each measuring q degrees, then what is the value of q ?
180(x – 3) + 180
Question 12
Triangles ABC, ACD, and ABD are all isosceles triangles. Point E (not shown) is the midpoint between points B and D. If the ratio of 
, then what is the measure, in degrees, of ∠CAD?
10
15
30
45
Cannot be determined from the information given
Question 13
ABCD is a square. Points E and F, not shown, are the midpoints of 
and 
respectively. Line segments are drawn to connect points E and F to A. Which of the following must be true?
Indicate all such values.
∠ CEF = 45˚
∠ FEA > 45˚
∠ EFA < 90˚
∠ FAD = 30˚
∠ AEB = 60˚
∠ AFD = 45˚