1.

DFG is a straight line. What is the value of x?

A. 12
B. 14
C. 16
D. 18
E. 20

2. If the hypotenuse of an isosceles right triangle is 7\sqrt { 2 } , what is the area of the triangle?

(A) 14
(B) 18
(C) 24.5
(D) 28
(E) 49

3.  If p is the perimeter of a triangle with one side of 6 and another side of 9, what is the range of possible values for p?

(A) 3 < p < 15
(B) 15 < p < 24
(C) 18 < p < 30
(D) 18 < p < 42
(E) 21 < p < 42

4. A triangle has sides of 8, m, and n.

 Quantity A Quantity B |m-n| 8

5.

 Quantity A Quantity B The clockwise angle made by the hour hand and the minute hand at 12:15pm The counterclockwise angle made by the hour hand and the minute hand at 12:45pm

6. A 10 foot ladder leans against a vertical wall and forms a 60 degree angle with the floor. Assuming the ground below the ladder is perfectly horizontal, how far above the ground is the top of the ladder?

(A) 5 feet
(B) 5\sqrt { 3 } feet
(C) 7.5 feet
(D) 10 feet
(E) 10\sqrt { 3 } feet

7.  In the figure, if line CE bisects ∠ACB, then x =

(A) 45
(B) 50
(C) 55
(D) 65
(E) 70

8. In the triangle, what is the value of x ?

(A) 25
(B) 55
(C) 60
(D) 77
(E) 85

9. The following are the measures of the sides of five different triangles. Which one of them represents a right triangle?

(A) \sqrt { 3 },\sqrt { 4 },\sqrt { 5 }
(B) 1, 5, 4
(C) 7, 3, 4
(D) \sqrt { 3 },\sqrt { 7 },\sqrt { 4 }
(E) 4, 8, 10

10. In the figure, ABC and ADC are right triangles. Which of the following could be the lengths of AD and DC, respectively?

(I) 3 and 4
(II) 4 and 6
(III) 1 and 24
(IV) 1 and 26
(A) I and II only
(B) II and III only
(C) III and IV only
(D) IV and I only
(E) I, II and III only

11.

 Quantity A Quantity B X Y

12.

 Quantity A Quantity B \frac { x }{ y } 1

13.

Which of the following statements individually provide(s) sufficient additional information to determine the area of triangle ABC above?
Indicate all such statements.

(A) DBC is an equilateral triangle.
(B) ABD is an isosceles triangle.
(C) The length of BC is equal to the length of AD.
(D) The length of BC is 10.
(E) The length of AD is 10.

14. In the figure below, AB=BC=CD. If the area of triangle CDE is 42, what is the area of triangle ADG?

15. What are the lengths of sides NO and OP in triangle NOP below?

1 20
2 C
3 C
4 |m-n|<8
5 B
6 B
7 D
8 A
9 D
10 C
11 D
12 A
13 A and D
14 378
15 NO=30 and OP=10\sqrt { 34 }