# Video: KS2-M16S • Paper 2 • Question 13

The diagram shows a shaded octagon on a squared grid. Line 𝐴 joins two vertices of the octagon. Join two other vertices to draw a line parallel to line 𝐴. Use a ruler. Join two vertices to draw a line perpendicular to line 𝐴. Use a ruler.

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### Video Transcript

The diagram shows a shaded octagon on a squared grid. Line 𝐴 joins two vertices of the octagon. Join two other vertices to draw a line parallel to line 𝐴. Use a ruler. Join two vertices to draw a line perpendicular to line 𝐴. Use a ruler.

The first part of the question asks us to draw a line parallel to line 𝐴. And the second part of the question asks us to draw a line perpendicular to line 𝐴. In both parts of the question, we need to join two vertices to draw either a parallel line or a perpendicular line. Vertex is a corner or a point where two lines meet. So in the first part of the question, we’re asked to draw a line which is parallel to line 𝐴 by joining two other vertices.

We know that parallel lines are lines which are an equal distance apart at any point along the line. And we’re asked to draw a line which is parallel to line 𝐴. If we join these two vertices together, we can see that the line we’ve drawn is not parallel to line 𝐴. If we draw a line joining these two vertices, the line that we’ve drawn is parallel to line 𝐴. These two lines are an equal distance apart.

The second part of the question asks us to join two vertices of the octagon to make a line which is perpendicular to line 𝐴. Perpendicular lines are lines which meet at a right angle. If we join the two vertices as shown, we have a line which is perpendicular to line 𝐴. We could also create a perpendicular line by joining the other two vertices shown at the top.

The first diagram shows a line which is parallel to line 𝐴. And the second diagram shows the two possible lines we could draw to make lines perpendicular to line 𝐴.