| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
If side x = 11cm, side y = 8cm, and side z = 6cm what is the perimeter of this triangle?
| 32cm | |
| 28cm | |
| 25cm | |
| 24cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 11cm + 8cm + 6cm = 25cm
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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intersects |
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midpoints |
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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.
What is the area of a circle with a diameter of 10?
| 25π | |
| 9π | |
| 64π | |
| 4π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π
Solve for a:
4a - 3 < \( \frac{a}{-6} \)
| a < 1\(\frac{5}{11}\) | |
| a < -\(\frac{6}{49}\) | |
| a < -\(\frac{5}{6}\) | |
| a < \(\frac{18}{25}\) |
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.
4a - 3 < \( \frac{a}{-6} \)
-6 x (4a - 3) < a
(-6 x 4a) + (-6 x -3) < a
-24a + 18 < a
-24a + 18 - a < 0
-24a - a < -18
-25a < -18
a < \( \frac{-18}{-25} \)
a < \(\frac{18}{25}\)
On this circle, a line segment connecting point A to point D is called:
circumference |
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diameter |
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radius |
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chord |
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).