| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
acute, obtuse, right |
|
acute, right, obtuse |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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bisects |
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intersects |
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trisects |
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.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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supplementary, vertical |
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obtuse, acute |
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vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
If a = 3, b = 1, c = 6, and d = 1, what is the perimeter of this quadrilateral?
| 29 | |
| 11 | |
| 21 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 1 + 6 + 1
p = 11
Find the value of b:
-b + z = -6
-5b + 9z = -7
| 11\(\frac{3}{4}\) | |
| -3 | |
| \(\frac{15}{16}\) | |
| 2\(\frac{5}{8}\) |
You need to find the value of b so solve the first equation in terms of z:
-b + z = -6
z = -6 + b
then substitute the result (-6 - -1b) into the second equation:
-5b + 9(-6 + b) = -7
-5b + (9 x -6) + (9 x b) = -7
-5b - 54 + 9b = -7
-5b + 9b = -7 + 54
4b = 47
b = \( \frac{47}{4} \)
b = 11\(\frac{3}{4}\)