| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
If side a = 4, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{26} \) | |
| \( \sqrt{80} \) | |
| \( \sqrt{113} \) | |
| \( \sqrt{145} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 82
c2 = 16 + 64
c2 = 80
c = \( \sqrt{80} \)
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
|
same-side interior angles are complementary and equal each other |
|
all of the angles formed by a transversal are called interior angles |
|
angles in the same position on different parallel lines are called corresponding angles |
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°).
The dimensions of this cylinder are height (h) = 1 and radius (r) = 7. What is the volume?
| 49π | |
| 216π | |
| 196π | |
| 125π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(72 x 1)
v = 49π
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
right, obtuse, acute |
|
acute, right, obtuse |
|
right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
On this circle, line segment CD is the:
radius |
|
circumference |
|
diameter |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).