| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
If a = 8, b = 9, c = 2, and d = 8, what is the perimeter of this quadrilateral?
| 14 | |
| 18 | |
| 17 | |
| 27 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 9 + 2 + 8
p = 27
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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).
On this circle, line segment AB is the:
chord |
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radius |
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circumference |
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diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
A right angle measures:
360° |
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180° |
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90° |
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45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for z:
z2 - 2z - 8 = 0
| 5 or 4 | |
| 6 or -5 | |
| 9 or -6 | |
| -2 or 4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 2z - 8 = 0
(z + 2)(z - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 2) or (z - 4) must equal zero:
If (z + 2) = 0, z must equal -2
If (z - 4) = 0, z must equal 4
So the solution is that z = -2 or 4