ASVAB Math Knowledge Practice Test 124967 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

This diagram represents two parallel lines with a transversal. If c° = 16, what is the value of a°?

73% Answer Correctly
22
16
140
21

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • 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°)

Applying these relationships starting with c° = 16, the value of a° is 16.


2

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

midpoints

intersects

bisects

trisects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


3

If a = 8, b = 9, c = 4, and d = 3, what is the perimeter of this quadrilateral?

88% Answer Correctly
20
24
29
13

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 8 + 9 + 4 + 3
p = 24


4

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

supplementary, vertical

vertical, supplementary

obtuse, acute

acute, obtuse


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


5

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

right, obtuse, acute

acute, right, obtuse

acute, obtuse, right

right, acute, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.