| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
trapezoid |
|
quadrilateral |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The endpoints of this line segment are at (-2, -3) and (2, -5). What is the slope of this line?
| 1 | |
| -\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -3) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)The dimensions of this trapezoid are a = 5, b = 3, c = 7, d = 4, and h = 3. What is the area?
| 13\(\frac{1}{2}\) | |
| 25 | |
| 10\(\frac{1}{2}\) | |
| 32\(\frac{1}{2}\) |
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(3 + 4)(3)
a = ½(7)(3)
a = ½(21) = \( \frac{21}{2} \)
a = 10\(\frac{1}{2}\)
If side x = 14cm, side y = 6cm, and side z = 6cm what is the perimeter of this triangle?
| 42cm | |
| 26cm | |
| 33cm | |
| 38cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 14cm + 6cm + 6cm = 26cm
Simplify (y - 2)(y - 1)
| y2 - y - 2 | |
| y2 + 3y + 2 | |
| y2 + y - 2 | |
| y2 - 3y + 2 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 2)(y - 1)
(y x y) + (y x -1) + (-2 x y) + (-2 x -1)
y2 - y - 2y + 2
y2 - 3y + 2