Lines (Geometry) Practice Test Question Answers

Last Updated on May 22, 2024

Two angles are called adjacent angles if they have a common vertex and a common arm but no common interior points. A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. When two lines intersect, the vertically opposite angles so formed are equal.

If two parallel lines are intersected by a transversal, (i) each pair of corresponding angles is equal. (ii) each pair of alternate interior angles is equal. (iii) each pair of interior angles on the same side of the transversal is
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Lines (Geometry) Practice Test Question Answers

Test Name	Lines Test Prep
Type of Question	Multiple Choice Question Answers
Subject	Math
Total Question	10
Test Type	Sample / Mock Test
Editable & Printable PDF / Doc	YES (Download link is given below)
Available of Answers	YES
Difficulty Level	Elementary Geometry

Lines (Geometry) Practice Test Question Answers

1. If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is
🔘 A. 0	🔘 B. 1
🔘 C. 2	🔘 D. 3
🔘 E. 4

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Answer:E 4

2. In the given figure, find out which pair of lines are parallel.
🔘 A. GH \|\| KP	🔘 B. EF \|\| KP
🔘 C. AB \|\| CD	🔘 D. EF \|\| GH.
🔘 E. NOTA

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Answer:D. EF || GH. [Solution: For lines EF and GH, taking CD as transversal, ∠1 and ∠2
are interior angles on the same side of the transversal. Therefore, we check whether the sum of ∠1 and ∠2 is 180° or
not. ∠1 = 123°, ∠2 = 57°, ∠1 + ∠2 = 123° + 57° = 180° Since the sum of the interior ∠’s on the same side of the
transversal is 180°, therefore EF || GH.

3. In the following lines, l and m intersect each other at a point. Which of the following is false?
🔘 A. ∠a = ∠b	🔘 B. ∠d = ∠c
🔘 C. ∠a + ∠d = 180°	🔘 D. ∠a = ∠d
🔘 E. NOTA

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Answer:D ∠a = ∠d (Sol ∠a + ∠d = 180°)

4. In the following figure POR is a line. The value of a is
🔘 A. 20°	🔘 B. 40°
🔘 C. 60°	🔘 D. 80°
🔘 E. 120°

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Answer:B. 40° (Hints: (3a + 5)° + (2a – 25)° = 180°)

5. In the following figure POQ is a line. If x = 30°, then ∠QOR is
🔘 A. 30°	🔘 B. 60°
🔘 C. 80°	🔘 D. 90°
🔘 E. 110°

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Answer:D. 90°

6. In the following figure, PA \|\| BC \|\| DT and AB \|\| DC. Then, the values of a and b are respectively.
🔘 A. 50°, 130°	🔘 B. 30°, 120°
🔘 C. 40°, 90°	🔘 D. 10°, 110°
🔘 E. 30°, 90°

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Answer:A 50°, 130° (hints ∠ABC + ∠BCD = 180°)

7. In the following figure, PQ \|\| SR and SP \|\| RQ. Then, angles a and b are respectively
🔘 A.	🔘 B.
🔘 C.	🔘 D.
🔘 E.

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Answer:E

8. In the following figure, lines AB and CD intersect at O. If ∠ AOC + ∠ BOE = 70° and ∠ BOD = 40°, find ∠ BOE
🔘 A. 30°	🔘 B. 40°
🔘 C. 50°	🔘 D. 60°
🔘 E. 70°

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Answer:A. 30°

9. In the following figure, lines AB and CD intersect at O. If ∠ AOC + ∠ BOE = 70° and ∠ BOD = 40°, find ∠ COE
🔘 A. 60°	🔘 B. 90°
🔘 C. 150°	🔘 D. 160°
🔘 E. 250°

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Answer:E 250°

10. In the following figure, lines XY and MN intersect at O. If ∠ POY = 90° and a : b = 2 : 3, find c.
🔘 A. 62°	🔘 B. 96°
🔘 C. 126°	🔘 D. 176°
🔘 E. 216°