In the pyramid shown in the diagram above G is the certer of square base ABCD, `overline(EF)botoverline(AB)` and h height of the pyramid. Which statements must be true?
I. `EA=EC`
II. `triangleBFC` is isosceles
III. EF=EG

In triangleABC , if AB=CD, which of the following statements must be true? I. xgtz II. ygtx III. ABgtBC

For parallelogram ABCD above, if ABgtBD which of the following statements must be true? I. CDgtBD II. angleADBgtangleC angleCBDgtangleA

In circle O above, AB=3 and CD=2 . Which of the following statements must be true? I. angleABC and angleBCD have equal measures II. overline(AB)||overline(CD) III. 2(AE)=3(CE)

In the figure above, if circle O is inscribed in square ABCD in such a way that each side of the square is tangent to the circle, which of the following statements must be true? I. ABtimesCDltpitimesrtimesr II. Area ABCD =4r^(2) III. rlt(2(CD))/(pi)

If f(x)ge 0 and g(x)ge 0 for all real x, which of the following statements must be true ? I. f(x)+g(x)ge 0 II. f(x)-g(x)ge 0 III. f(x)g(x)ge 0

Function f is defined for 0lexle5 , as shown in the accompanying figure. If (r, s) is a point inside the shaded region bounded by the x-axis, the line x=5 and y=f(x), which statement must be true? I. r+sle5 II. slef(r) III. fnes

If pyramid with a square base with side length s and a right cone with radius r have equal heights and equal volumes, then which equation must be true?

V =1/3 pi ((d)/(2)) ^(2) h A circle of rubber with a constant diameter d is placed on a table, its perimeter is anchored to the table and a string is attached to its centre. When the string is pulled upwards, a cone is formed with height h and volume V. The relationship between d, h, and V is represented above. Which of the following statements must be true ? I. As the volume of the cone decreases, the height also decreases. II. If the diameter of the base of the cone is 6 centimeters, the height can be determined by dividing the volume by 3pi. III. If the height of the conc triples, the volume must also triple.