| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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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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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).
If a = c = 8, b = d = 9, what is the area of this rectangle?
| 14 | |
| 25 | |
| 42 | |
| 72 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 9
a = 72
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
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c2 + a2 |
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c2 - a2 |
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c - a |
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, \(c = \sqrt{a + b}\)
Solve for z:
z2 - 11z + 24 = 0
| -3 or -7 | |
| 8 or -7 | |
| 1 or 1 | |
| 3 or 8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 11z + 24 = 0
(z - 3)(z - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z - 8) must equal zero:
If (z - 3) = 0, z must equal 3
If (z - 8) = 0, z must equal 8
So the solution is that z = 3 or 8
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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trapezoid |
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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.