| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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the area of a parallelogram is base x height |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Which of the following statements about a triangle is not true?
area = ½bh |
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sum of interior angles = 180° |
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exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
What is the circumference of a circle with a radius of 17?
| 16π | |
| 34π | |
| 4π | |
| 2π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 17)
c = 34π
Find the value of b:
9b + x = 9
9b - 4x = 4
| \(\frac{8}{9}\) | |
| -1\(\frac{15}{64}\) | |
| 1\(\frac{11}{14}\) | |
| -\(\frac{7}{18}\) |
You need to find the value of b so solve the first equation in terms of x:
9b + x = 9
x = 9 - 9b
then substitute the result (9 - 9b) into the second equation:
9b - 4(9 - 9b) = 4
9b + (-4 x 9) + (-4 x -9b) = 4
9b - 36 + 36b = 4
9b + 36b = 4 + 36
45b = 40
b = \( \frac{40}{45} \)
b = \(\frac{8}{9}\)
If angle a = 33° and angle b = 41° what is the length of angle c?
| 94° | |
| 78° | |
| 92° | |
| 106° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 33° - 41° = 106°