| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
The dimensions of this trapezoid are a = 5, b = 8, c = 6, d = 4, and h = 3. What is the area?
| 20 | |
| 30 | |
| 18 | |
| 11 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(8 + 4)(3)
a = ½(12)(3)
a = ½(36) = \( \frac{36}{2} \)
a = 18
A coordinate grid is composed of which of the following?
x-axis |
|
y-axis |
|
origin |
|
all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
acute, right, obtuse |
|
acute, obtuse, right |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If side a = 9, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{18} \) | |
| \( \sqrt{162} \) | |
| \( \sqrt{20} \) | |
| \( \sqrt{90} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 92
c2 = 81 + 81
c2 = 162
c = \( \sqrt{162} \)
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
c - a |
|
c2 - a2 |
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a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)