Lines, angles & transversal properties Quiz - ICSE Class 7 Mathematics

Free practice quiz: Lines, angles & transversal properties (ICSE Class 7 Mathematics). 43 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. If two parallel lines are intersected by a transversal, and one of the interior angles on the same side of the transversal is 60 degrees, what is the measure of the other interior angle on the same side?

   1. 60 degrees
   2. 90 degrees
   3. 120 degrees
   4. 180 degrees
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   Answer: C. 120 degrees

   When two parallel lines are intersected by a transversal, consecutive interior angles (or interior angles on the same side of the transversal) are supplementary. This means their sum is 180 degrees. If one interior angle is 60 degrees, the other will be 180 - 60 = 120 degrees.

2. If two parallel lines are intersected by a transversal, and one of the angles formed is 75 degrees, what is the measure of the alternate interior angle to the angle supplementary to this 75-degree angle?

   1. 75 degrees
   2. 105 degrees
   3. 180 degrees
   4. 90 degrees
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   Answer: B. 105 degrees

   Let the given angle be 75 degrees. The angle supplementary to this angle is 180 - 75 = 105 degrees. This 105-degree angle is an interior angle. The alternate interior angle to this 105-degree angle is equal to 105 degrees because the lines are parallel.

3. In the figure, AB || CD. EF is a transversal. If angle AGH = 105 degrees, what is the measure of angle DHE?

   1. 105 degrees
   2. 75 degrees
   3. 180 degrees
   4. 90 degrees
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   Answer: B. 75 degrees

   Angle AGH and angle BGH form a linear pair, so angle BGH = 180 - 105 = 75 degrees. Angle BGH and angle DHE are alternate interior angles. Since AB || CD, alternate interior angles are equal. Therefore, angle DHE = 75 degrees.

4. Lines AB and CD are parallel. EF is a transversal. If angle CFE = 80 degrees, what is the measure of angle AFE?

   1. 80 degrees
   2. 100 degrees
   3. 180 degrees
   4. 90 degrees
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   Answer: B. 100 degrees

   Angle CFE and angle AFE form a linear pair because they are adjacent angles on a straight line (EF). Therefore, they are supplementary. If angle CFE = 80 degrees, then angle AFE = 180 - 80 = 100 degrees.

5. Lines X and Y are parallel. Transversal Z intersects them. If an interior angle is 70 degrees, what is the measure of the corresponding angle on the other parallel line?

   1. 70 degrees
   2. 110 degrees
   3. 180 degrees
   4. 90 degrees
   Show answer

   Answer: A. 70 degrees

   When a transversal intersects two parallel lines, corresponding angles are equal. If one interior angle is 70 degrees, its corresponding angle on the other parallel line is also 70 degrees.

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