| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
A quadrilateral is a shape with __________ sides.
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2 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If side a = 7, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{106} \) | |
| \( \sqrt{52} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{53} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 22
c2 = 49 + 4
c2 = 53
c = \( \sqrt{53} \)
The endpoints of this line segment are at (-2, -1) and (2, -7). What is the slope of this line?
| -2 | |
| 3 | |
| 1\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -1) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)The formula for the area of a circle is which of the following?
a = π d2 |
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a = π r |
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a = π r2 |
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a = π d |
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.
On this circle, a line segment connecting point A to point D is called:
chord |
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radius |
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circumference |
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diameter |
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).