| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.59 |
| Score | 0% | 52% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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rhombus |
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triangle |
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trapezoid |
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, -1) and (2, -3). What is the slope of this line?
| 1 | |
| -\(\frac{1}{2}\) | |
| 3 | |
| 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, -1) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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supplementary, vertical |
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obtuse, acute |
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vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and right |
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equilateral, isosceles and right |
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equilateral and isosceles |
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.
Solve for x:
x2 + 9x + 19 = x + 4
| 5 or -6 | |
| -3 or -5 | |
| 5 or 3 | |
| -3 or -8 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
x2 + 9x + 19 = x + 4
x2 + 9x + 19 - 4 = x
x2 + 9x - x + 15 = 0
x2 + 8x + 15 = 0
Next, factor the quadratic equation:
x2 + 8x + 15 = 0
(x + 3)(x + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 3) or (x + 5) must equal zero:
If (x + 3) = 0, x must equal -3
If (x + 5) = 0, x must equal -5
So the solution is that x = -3 or -5