| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
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c - a |
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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, \(c = \sqrt{a + b}\)
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
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the area is length x width |
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all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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equal angle |
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parallel |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
A coordinate grid is composed of which of the following?
origin |
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all of these |
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y-axis |
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x-axis |
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.
If side a = 7, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{73} \) | |
| \( \sqrt{82} \) | |
| \( \sqrt{53} \) | |
| \( \sqrt{128} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 22
c2 = 49 + 4
c2 = 53
c = \( \sqrt{53} \)