| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.60 |
| Score | 0% | 52% |
If angle a = 24° and angle b = 50° what is the length of angle c?
| 106° | |
| 93° | |
| 67° | |
| 68° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 50° = 106°
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).
Solve for x:
x2 - 11x + 13 = -5x + 5
| 5 or 3 | |
| 2 or 4 | |
| -7 or -7 | |
| -4 or -6 |
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:
x2 - 11x + 13 = -5x + 5
x2 - 11x + 13 - 5 = -5x
x2 - 11x + 5x + 8 = 0
x2 - 6x + 8 = 0
Next, factor the quadratic equation:
x2 - 6x + 8 = 0
(x - 2)(x - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x - 4) must equal zero:
If (x - 2) = 0, x must equal 2
If (x - 4) = 0, x must equal 4
So the solution is that x = 2 or 4
On this circle, a line segment connecting point A to point D is called:
chord |
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circumference |
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diameter |
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radius |
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).
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
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bisects |
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midpoints |
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intersects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.