| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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parallel |
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equal length |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
If the base of this triangle is 8 and the height is 2, what is the area?
| 25 | |
| 36 | |
| 71\(\frac{1}{2}\) | |
| 8 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 2 = \( \frac{16}{2} \) = 8
Factor y2 - 10y + 16
| (y - 8)(y + 2) | |
| (y + 8)(y - 2) | |
| (y + 8)(y + 2) | |
| (y - 8)(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 16 as well and sum (Inside, Outside) to equal -10. For this problem, those two numbers are -8 and -2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 10y + 16
y2 + (-8 - 2)y + (-8 x -2)
(y - 8)(y - 2)
Solve for x:
-2x - 1 = 3 - x
| -4 | |
| -4\(\frac{1}{2}\) | |
| 1 | |
| 3 |
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 equal sign and the answer on the other.
-2x - 1 = 3 - x
-2x = 3 - x + 1
-2x + x = 3 + 1
-x = 4
x = \( \frac{4}{-1} \)
x = -4
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and isosceles |
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equilateral, isosceles and right |
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equilateral and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.