| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
The dimensions of this trapezoid are a = 4, b = 5, c = 5, d = 6, and h = 3. What is the area?
| 16\(\frac{1}{2}\) | |
| 8 | |
| 12 | |
| 27\(\frac{1}{2}\) |
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(5 + 6)(3)
a = ½(11)(3)
a = ½(33) = \( \frac{33}{2} \)
a = 16\(\frac{1}{2}\)
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
midpoints |
|
intersects |
|
bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Solve for x:
-3x + 7 < -1 - 2x
| x < 8 | |
| x < 1 | |
| x < -4 | |
| x < 4 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-3x + 7 < -1 - 2x
-3x < -1 - 2x - 7
-3x + 2x < -1 - 7
-x < -8
x < \( \frac{-8}{-1} \)
x < 8
If a = c = 8, b = d = 6, and the blue angle = 73°, what is the area of this parallelogram?
| 64 | |
| 15 | |
| 40 | |
| 48 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 6
a = 48
If side a = 8, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{73} \) | |
| \( \sqrt{40} \) | |
| \( \sqrt{145} \) | |
| \( \sqrt{106} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 92
c2 = 64 + 81
c2 = 145
c = \( \sqrt{145} \)