| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and right |
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equilateral and isosceles |
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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.
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
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perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
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area = ½bh |
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.
The dimensions of this trapezoid are a = 5, b = 8, c = 7, d = 9, and h = 3. What is the area?
| 25\(\frac{1}{2}\) | |
| 7 | |
| 8 | |
| 16\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(8 + 9)(3)
a = ½(17)(3)
a = ½(51) = \( \frac{51}{2} \)
a = 25\(\frac{1}{2}\)
If the base of this triangle is 6 and the height is 3, what is the area?
| 60\(\frac{1}{2}\) | |
| 9 | |
| 63 | |
| 33 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 3 = \( \frac{18}{2} \) = 9
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
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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 perimeter is the sum of the lengths of all four sides |
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).