| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
On this circle, a line segment connecting point A to point D is called:
radius |
|
circumference |
|
diameter |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The dimensions of this trapezoid are a = 5, b = 2, c = 7, d = 8, and h = 4. What is the area?
| 9 | |
| 20 | |
| 15 | |
| 22\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 8)(4)
a = ½(10)(4)
a = ½(40) = \( \frac{40}{2} \)
a = 20
If side a = 1, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{20} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{10} \) | |
| \( \sqrt{85} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 32
c2 = 1 + 9
c2 = 10
c = \( \sqrt{10} \)
The dimensions of this cube are height (h) = 6, length (l) = 9, and width (w) = 4. What is the volume?
| 12 | |
| 30 | |
| 216 | |
| 54 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 9 x 4
v = 216
If side x = 15cm, side y = 10cm, and side z = 10cm what is the perimeter of this triangle?
| 35cm | |
| 28cm | |
| 25cm | |
| 34cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 15cm + 10cm + 10cm = 35cm