| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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quadrilateral |
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trapezoid |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for y:
y2 - 5y + 20 = 5y + 4
| 2 or -1 | |
| -1 or -2 | |
| 2 or 8 | |
| 8 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
y2 - 5y + 20 = 5y + 4
y2 - 5y + 20 - 4 = 5y
y2 - 5y - 5y + 16 = 0
y2 - 10y + 16 = 0
Next, factor the quadratic equation:
y2 - 10y + 16 = 0
(y - 2)(y - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y - 8) must equal zero:
If (y - 2) = 0, y must equal 2
If (y - 8) = 0, y must equal 8
So the solution is that y = 2 or 8
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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factoring |
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squaring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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parallel |
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right angle |
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equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
A right angle measures:
360° |
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90° |
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180° |
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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.