| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
|
parallel |
|
equal angle |
|
right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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isosceles and right |
|
equilateral, isosceles and right |
|
equilateral and isosceles |
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.
If the base of this triangle is 6 and the height is 3, what is the area?
| 9 | |
| 45 | |
| 37\(\frac{1}{2}\) | |
| 55 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 3 = \( \frac{18}{2} \) = 9
Solve for b:
2b - 9 = \( \frac{b}{6} \)
| -\(\frac{9}{16}\) | |
| 4\(\frac{10}{11}\) | |
| 1\(\frac{1}{19}\) | |
| \(\frac{12}{25}\) |
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 equal sign and the answer on the other.
2b - 9 = \( \frac{b}{6} \)
6 x (2b - 9) = b
(6 x 2b) + (6 x -9) = b
12b - 54 = b
12b - 54 - b = 0
12b - b = 54
11b = 54
b = \( \frac{54}{11} \)
b = 4\(\frac{10}{11}\)
If angle a = 37° and angle b = 53° what is the length of angle c?
| 44° | |
| 74° | |
| 86° | |
| 90° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 37° - 53° = 90°