Vertical angles — Grade 7 Accelerated, what it means and where it is taught
The opposite pair formed by two crossing lines — always equal.
Taught in Grade 7 Accelerated.
Where it is taught
Practise this idea
4 questions in the course bank use Vertical angles, in Geometric Construction, Angle Relationships, Triangle Congruence Proofs.
Problem 1
Two lines cross. One angle measures 52°. Find its vertical angle.
Worked answer
52
52°
Problem 2
Two lines cross. One angle is 37°. Find the angle vertically opposite it.
Worked answer
37
No parallel lines needed
37°
Problem 3
Which pair of angles is not necessarily equal when two parallel lines are cut by a transversal?
- Co-interior angles
- Corresponding angles
- Alternate interior angles
- Vertical angles
Worked answer
Co-interior angles
Co-interior angles are supplementary, not equal
They are only equal in the special case of 90° each
Problem 4
Two triangles meet at a point so that a pair of angles are vertical. Are those angles congruent? Answer yes or no.
Worked answer
yes
No parallel lines needed.
Vertical angles are congruent by theorem.