| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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).
If side a = 7, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{65} \) | |
| \( \sqrt{10} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{85} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 42
c2 = 49 + 16
c2 = 65
c = \( \sqrt{65} \)
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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triangle |
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trapezoid |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If a = c = 5, b = d = 7, and the blue angle = 66°, what is the area of this parallelogram?
| 40 | |
| 35 | |
| 5 | |
| 3 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 7
a = 35
If the base of this triangle is 7 and the height is 9, what is the area?
| 45\(\frac{1}{2}\) | |
| 35 | |
| 48 | |
| 31\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 9 = \( \frac{63}{2} \) = 31\(\frac{1}{2}\)