| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
The dimensions of this trapezoid are a = 5, b = 2, c = 6, d = 3, and h = 4. What is the area?
| 40 | |
| 8 | |
| 10 | |
| 13\(\frac{1}{2}\) |
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(2 + 3)(4)
a = ½(5)(4)
a = ½(20) = \( \frac{20}{2} \)
a = 10
If side a = 7, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{74} \) | |
| \( \sqrt{97} \) | |
| \( \sqrt{58} \) | |
| \( \sqrt{32} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 32
c2 = 49 + 9
c2 = 58
c = \( \sqrt{58} \)
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
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the area is length x width |
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the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
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(n) __________ is two expressions separated by an equal sign.
equation |
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problem |
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expression |
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formula |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
If angle a = 69° and angle b = 46° what is the length of angle c?
| 65° | |
| 103° | |
| 81° | |
| 93° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 69° - 46° = 65°