| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
If a = 1, b = 9, c = 7, and d = 5, what is the perimeter of this quadrilateral?
| 27 | |
| 23 | |
| 22 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 9 + 7 + 5
p = 22
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).
The endpoints of this line segment are at (-2, 2) and (2, -10). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x + 0 | |
| y = 1\(\frac{1}{2}\)x + 1 | |
| y = -3x - 4 | |
| y = -2\(\frac{1}{2}\)x + 3 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -4. 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, 2) and (2, -10) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-10.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x - 4
If a = c = 4, b = d = 9, what is the area of this rectangle?
| 4 | |
| 24 | |
| 3 | |
| 36 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 9
a = 36
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).