Corresponding angles
I can recognise that a pair of parallel lines traversed by a straight line produces equal corresponding angles.
Corresponding angles
I can recognise that a pair of parallel lines traversed by a straight line produces equal corresponding angles.
Lesson details
Key learning points
- The different arrangements of 3 line segments can be described and categorised.
- One of these arrangements involves a transversal.
- Corresponding angles can be identified in this arrangement.
- If the lines cut by the transversal are parallel these corresponding angles are equal.
- Knowledge of corresponding angles can be used to find unknown angles.
Common misconception
Transversals must intersect a pair of parallel lines.
Transversals can intersect any set of lines or line segments, no matter whether any of those lines or line segments are parallel or not.
Keywords
Corresponding angles - Corresponding angles are a pair of angles at different vertices on the same side of a transversal in equivalent positions.
Transversal - A transversal is any ٭line that intersects two or more ٭lines at distinct (different) points. (٭line, line segment or ray)
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
Loading...
Starter quiz
6 Questions
size of angle $$\text{ }b$$° -
162°
size of angle $$\text{ }c$$° -
18°
justification for angle $$b$$° -
angles about a point on a straight line sum to 180°
justification for angle $$c$$° -
vertically opposite angles are equal
not an angle on this diagram -
36°
AB -
is parallel to IJ
CD -
is parallel to GH
KL -
is not parallel to any other line segment in this diagram
$$d$$° -
110°
$$e$$° -
70°
$$g$$° -
38°
$$h$$° -
104°
not an angle in this diagram -
56°
AE -
is parallel to CD
AF -
is parallel to BD
BF -
is perpendicular to CD
AF -
a longer line segment with a gradient of $$-\frac{1}{3}$$
BD -
a shorter line segment with a gradient of $$-\frac{1}{3}$$