| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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trisects |
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intersects |
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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 dimensions of this trapezoid are a = 4, b = 4, c = 5, d = 3, and h = 3. What is the area?
| 10\(\frac{1}{2}\) | |
| 21 | |
| 24 | |
| 15 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(4 + 3)(3)
a = ½(7)(3)
a = ½(21) = \( \frac{21}{2} \)
a = 10\(\frac{1}{2}\)
If a = c = 5, b = d = 8, what is the area of this rectangle?
| 54 | |
| 24 | |
| 14 | |
| 40 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 8
a = 40
On this circle, a line segment connecting point A to point D is called:
circumference |
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diameter |
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chord |
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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 angle a = 20° and angle b = 64° what is the length of angle d?
| 131° | |
| 144° | |
| 139° | |
| 160° |
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° - 20° - 64° = 96°
So, d° = 64° + 96° = 160°
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° - 20° = 160°