| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
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intersects |
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bisects |
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midpoints |
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.
The formula for the area of a circle is which of the following?
a = π r2 |
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a = π d2 |
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a = π d |
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a = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If angle a = 61° and angle b = 25° what is the length of angle d?
| 119° | |
| 128° | |
| 150° | |
| 147° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 61° - 25° = 94°
So, d° = 25° + 94° = 119°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 61° = 119°
If a = 4, b = 3, c = 7, and d = 3, what is the perimeter of this quadrilateral?
| 26 | |
| 17 | |
| 20 | |
| 21 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 3 + 7 + 3
p = 17
Solve for c:
-7c + 8 = -1 - 2c
| \(\frac{1}{9}\) | |
| -\(\frac{5}{7}\) | |
| 1\(\frac{4}{5}\) | |
| -3 |
To solve this equation, 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.
-7c + 8 = -1 - 2c
-7c = -1 - 2c - 8
-7c + 2c = -1 - 8
-5c = -9
c = \( \frac{-9}{-5} \)
c = 1\(\frac{4}{5}\)