ASVAB Math Knowledge Lines & Angles Practice Test 282311 Results

Your Results Global Average
Questions 5 5
Correct 0 3.78
Score 0% 76%

Review

1

If BD = 13 and AD = 15, AB = ?

76% Answer Correctly
2
14
15
12
Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 15 - 13
AB = 2

2

This diagram represents two parallel lines with a transversal. If x° = 169, what is the value of w°?

73% Answer Correctly
11
149
10
20
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 x° = 169, the value of w° is 11.

3

If BD = 13 and AD = 15, AB = ?

76% Answer Correctly
2
14
15
12
Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 15 - 13
AB = 2

4

If AD = 15 and BD = 13, AB = ?

76% Answer Correctly
2
14
15
12
Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 15 - 13
AB = 2

5

If AD = 15 and BD = 13, AB = ?

76% Answer Correctly
2
14
15
12
Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 15 - 13
AB = 2