ASVAB Math Knowledge Lines & Angles Practice Test 510960 Results

Your Results Global Average
Questions 5 5
Correct 0 3.75
Score 0% 75%

Review

1

If BD = 11 and AD = 12, AB = ?

76% Answer Correctly
1
12
13
2
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 = 12 - 11
AB = 1

2

This diagram represents two parallel lines with a transversal. If x° = 143, what is the value of b°?

73% Answer Correctly
143
163
10
162
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° = 143, the value of b° is 143.

3

If AD = 12 and BD = 11, AB = ?

76% Answer Correctly
1
12
13
2
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 = 12 - 11
AB = 1

4

If BD = 11 and AD = 12, AB = ?

76% Answer Correctly
1
12
13
2
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 = 12 - 11
AB = 1

5

If AD = 12 and BD = 11, AB = ?

76% Answer Correctly
1
12
13
2
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 = 12 - 11
AB = 1