| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.71 |
| Score | 0% | 54% |
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
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).
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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supplementary, vertical |
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acute, obtuse |
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obtuse, acute |
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).
If angle a = 67° and angle b = 27° what is the length of angle c?
| 132° | |
| 116° | |
| 83° | |
| 86° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 67° - 27° = 86°
Solve for y:
-8y + 5 > \( \frac{y}{-9} \)
| y > -\(\frac{12}{19}\) | |
| y > \(\frac{12}{13}\) | |
| y > \(\frac{45}{71}\) | |
| y > \(\frac{7}{25}\) |
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 > sign and the answer on the other.
-8y + 5 > \( \frac{y}{-9} \)
-9 x (-8y + 5) > y
(-9 x -8y) + (-9 x 5) > y
72y - 45 > y
72y - 45 - y > 0
72y - y > 45
71y > 45
y > \( \frac{45}{71} \)
y > \(\frac{45}{71}\)
The endpoints of this line segment are at (-2, 3) and (2, -7). What is the slope of this line?
| 3 | |
| \(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| -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, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)