Parallel and Intersecting Lines — Practice Quiz
CBSE · Class 7 · Mathematics
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Quick Quiz: Parallel and Intersecting Lines
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Two intersecting lines form four angles. If one angle measures 75°, what is the measure of its vertically opposite angle?
In the figure, two lines intersect forming angles of 60° and x°. Find the value of x if these angles form a linear pair.
When two perpendicular lines intersect, what is the measure of each of the four angles formed?
A transversal intersects two parallel lines. If one corresponding angle measures 110°, what is the measure of its corresponding angle?
Sample Questions
Which of the following statements are true about parallel lines? (Select all correct answers)
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They never meet, They lie on the same plane, They are equidistant from each other
Parallel lines have three main properties: (1) They never meet no matter how far extended, (2) They lie on the same plane, and (3) They maintain equal distance from each other throughout their length. They don't necessarily form right angles or intersect.
Two parallel lines are cut by a transversal. If one alternate interior angle is 65°, find the measure of its alternate interior angle.
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65°
Alternate interior angles formed by a transversal cutting parallel lines are equal. Step 1: Identify that we have parallel lines cut by a transversal. Step 2: Apply the property that alternate interior angles are equal. Therefore, both angles measure 65°.
In the given figure, lines AB and CD are parallel. If angle 1 = 70°, find angle 2 (where angles 1 and 2 are co-interior angles).
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110°
Co-interior angles (interior angles on the same side) are supplementary when formed by parallel lines and a transversal. Step 1: Identify co-interior angles sum to 180°. Step 2: Calculate angle 2 = 180° - 70° = 110°.
How many angles are formed when a transversal intersects two lines?
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8
When a transversal intersects two lines, it forms 8 angles in total. Step 1: First line intersection creates 4 angles. Step 2: Second line intersection creates 4 more angles. Total = 4 + 4 = 8 angles.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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