Geometry Test 
1. Two birds are flying toward a birdhouse that is halfway between them. The birds are at coordinates A (4, 4) and B (10, 2). How far will each bird fly (to the nearest foot) to arrive at the birdhouse, if each grid represents 100 feet?: * 
a.580 feet 
b.762 feet 
c.1,160 feet 
d.1,523 feet 
Please respond to the question above. 
2. The line segment CD is the diameter of a circle whose center is the point (2, 1). If the coordinates of C are (0, 2), find the coordinates of D.: * 
a.(0, 4) 
b.(4, 0) 
c.(4, 2) 
d.(4, 4) 
Please respond to the question above. 
3. Write in standard form the equation of the line that passes through the point (3,6) and is perpendicular to the line that passes through the points (1,3) and (6,7).: * 
a.y + 6 = 1/2(x  3) 
b.2x  y = 12 
c.1/2x + y = 7.5 
d.x – 2y = 15 
Please respond to the question above. 
4. Which of the following groups of points are the vertices of a right triangle?: * 
a.(2,2) (4,1) (4,6) 
b.(1,1) (4,4) (7,2) 
c.(2,6) (4,3) (3,0) 
d.(1,1) (3,0) (0,4) 
Please respond to the question above. 
5. Find the area of the dark blue sector shown below. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to the nearest tenth of a square unit.: *

a.0.3 sq. units 
b.15.7 sq. units 
c.19.7 sq. units 
d.50.3 sq. units. 
Please respond to the question above. 
6. Find the value of x in ΔABC: *

a. 4√7 
b. 3√7 
c. 2√30 
d. √130 
Please respond to the question above. 
7. The length of a rectangle is 1 less than twice its width. A diagonal drawn in the rectangle measures 15. Find the length of the rectangle.: * 
a.6.64 
b.9 
c.13.21 
d.7.2 
Please respond to the question above. 
8. In the following isosceles trapezoid AB = 3x – 5, CD = x + y, AC = 4x, BD = 3y. Find the length of the diagonal...