| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
A quadrilateral is a shape with __________ sides.
4 |
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5 |
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2 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The endpoints of this line segment are at (-2, 6) and (2, -4). What is the slope-intercept equation for this line?
| y = 3x - 4 | |
| y = -1\(\frac{1}{2}\)x + 2 | |
| y = 2\(\frac{1}{2}\)x - 3 | |
| y = -2\(\frac{1}{2}\)x + 1 |
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 1. 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, 6) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x + 1
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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quadrilateral |
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rhombus |
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triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If angle a = 35° and angle b = 57° what is the length of angle d?
| 145° | |
| 138° | |
| 117° | |
| 151° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 35° - 57° = 88°
So, d° = 57° + 88° = 145°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 35° = 145°
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
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division |
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addition |
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exponents |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)