| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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trapezoid |
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triangle |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The dimensions of this trapezoid are a = 4, b = 5, c = 5, d = 3, and h = 3. What is the area?
| 22\(\frac{1}{2}\) | |
| 12 | |
| 27 | |
| 15 |
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 + 3)(3)
a = ½(8)(3)
a = ½(24) = \( \frac{24}{2} \)
a = 12
The formula for the area of a circle is which of the following?
a = π d2 |
|
a = π r |
|
a = π r2 |
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a = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If angle a = 31° and angle b = 49° what is the length of angle c?
| 59° | |
| 55° | |
| 122° | |
| 100° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 31° - 49° = 100°
Factor y2 - 8y + 12
| (y + 6)(y - 2) | |
| (y + 6)(y + 2) | |
| (y - 6)(y - 2) | |
| (y - 6)(y + 2) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 12 as well and sum (Inside, Outside) to equal -8. For this problem, those two numbers are -6 and -2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 8y + 12
y2 + (-6 - 2)y + (-6 x -2)
(y - 6)(y - 2)