| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
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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all interior angles are right angles |
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the area is length x width |
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the lengths of all sides are equal |
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).
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and isosceles |
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equilateral and right |
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equilateral, 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.
What is 8a + 2a?
| 16a | |
| 10a | |
| 6a2 | |
| 16a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a + 2a = 10a
If side a = 8, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{41} \) | |
| \( \sqrt{50} \) | |
| 10 | |
| \( \sqrt{113} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 72
c2 = 64 + 49
c2 = 113
c = \( \sqrt{113} \)
What is the area of a circle with a radius of 4?
| 4π | |
| 8π | |
| 16π | |
| 81π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π