| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
On this circle, line segment CD is the:
chord |
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radius |
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diameter |
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circumference |
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 side a = 5, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{89} \) | |
| 10 | |
| \( \sqrt{117} \) | |
| \( \sqrt{41} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 82
c2 = 25 + 64
c2 = 89
c = \( \sqrt{89} \)
Solve for b:
4b + 5 < -4 + 3b
| b < -1 | |
| b < -9 | |
| b < 1\(\frac{1}{3}\) | |
| b < -8 |
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.
4b + 5 < -4 + 3b
4b < -4 + 3b - 5
4b - 3b < -4 - 5
b < -9
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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equilateral and right |
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equilateral, isosceles and right |
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isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
A quadrilateral is a shape with __________ sides.
3 |
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4 |
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2 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.