Lines and Angles
Math ⇒ Geometry
Lines and Angles starts at 6 and continues till grade 12.
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See sample questions for grade 10
Define a transversal in geometry.
Explain the difference between complementary and supplementary angles.
Explain why vertically opposite angles are always equal when two lines intersect.
If the sum of two adjacent angles is 180°, what is the relationship between them?
A transversal intersects two lines such that a pair of alternate interior angles are 75° each. Are the two lines parallel? Yes or No?
If two lines are cut by a transversal and one pair of corresponding angles are not equal, what can you say about the two lines?
If two lines are cut by a transversal and the sum of a pair of interior angles on the same side of the transversal is not 180°, are the lines parallel? Yes or No?
A straight line makes angles of 35° and x° on the same side of a point. Find the value of x.
Which of the following is NOT a type of angle pair formed when a transversal cuts two lines?
(1) Alternate interior angles
(2) Corresponding angles
(3) Adjacent angles
(4) Supplementary angles
Which of the following is NOT true about parallel lines?
(1) They never meet.
(2) They are always the same distance apart.
(3) They can intersect at one point.
(4) Their corresponding angles are equal when cut by a transversal.
Which of the following is the correct definition of corresponding angles?
(1) Angles on the same side of the transversal and in corresponding positions
(2) Angles on opposite sides of the transversal
(3) Angles that are adjacent
(4) Angles that are supplementary
Which of the following is true about a pair of adjacent angles?
(1) They have a common vertex and a common arm.
(2) They are always equal.
(3) They are always supplementary.
(4) They are always complementary.
Fill in the blank: If two lines are perpendicular, the angle between them is ______ degrees.
Fill in the blank: The angle between two intersecting lines that are neither parallel nor perpendicular is called an ______ angle.
Fill in the blank: The sum of the measures of the angles in a triangle is ______ degrees.
Fill in the blank: Two angles that add up to 90° are called ______ angles.
A transversal intersects two lines such that a pair of alternate interior angles are 75° each. Are the two lines parallel? Yes or No?
If two lines are cut by a transversal and the sum of a pair of interior angles on the same side of the transversal is not 180°, are the lines parallel? Yes or No?
If two lines intersect, the vertically opposite angles are always equal. True or False?
If two parallel lines are cut by a transversal, then each pair of alternate interior angles are equal. Yes or No?
