| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
If the length of AB equals the length of BD, point B __________ this line segment.
intersects |
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trisects |
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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.
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
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the area is length x width |
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all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Solve for a:
-2a - 7 = -5 - 7a
| -\(\frac{7}{8}\) | |
| \(\frac{2}{5}\) | |
| -3 | |
| -\(\frac{1}{3}\) |
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.
-2a - 7 = -5 - 7a
-2a = -5 - 7a + 7
-2a + 7a = -5 + 7
5a = 2
a = \( \frac{2}{5} \)
a = \(\frac{2}{5}\)
Solve for b:
9b - 4 > \( \frac{b}{2} \)
| b > \(\frac{40}{41}\) | |
| b > -6\(\frac{3}{4}\) | |
| b > \(\frac{8}{17}\) | |
| b > \(\frac{12}{49}\) |
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 > sign and the answer on the other.
9b - 4 > \( \frac{b}{2} \)
2 x (9b - 4) > b
(2 x 9b) + (2 x -4) > b
18b - 8 > b
18b - 8 - b > 0
18b - b > 8
17b > 8
b > \( \frac{8}{17} \)
b > \(\frac{8}{17}\)
What is the circumference of a circle with a radius of 5?
| 17π | |
| 10π | |
| 18π | |
| 6π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π