| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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quadrilateral |
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rhombus |
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triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
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all of the angles formed by a transversal are called interior angles |
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same-side interior angles are complementary and equal each other |
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all acute angles equal each other |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
Find the value of c:
c + x = 1
c + 2x = 4
| \(\frac{26}{27}\) | |
| -2 | |
| 1\(\frac{5}{29}\) | |
| -1\(\frac{6}{17}\) |
You need to find the value of c so solve the first equation in terms of x:
c + x = 1
x = 1 - c
then substitute the result (1 - 1c) into the second equation:
c + 2(1 - c) = 4
c + (2 x 1) + (2 x -c) = 4
c + 2 - 2c = 4
c - 2c = 4 - 2
-c = 2
c = \( \frac{2}{-1} \)
c = -2
What is 5a - 8a?
| 40a | |
| 13a2 | |
| -3a | |
| 40a2 |
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.
5a - 8a = -3a
If a = c = 7, b = d = 8, what is the area of this rectangle?
| 4 | |
| 56 | |
| 16 | |
| 7 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 8
a = 56