# Video: KS2-M16S β’ Paper 2 β’ Question 13

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

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### Video Transcript

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

The first part of the question asks us to draw a line parallel to line π΄. And the second part of the question asks us to draw a line perpendicular to line π΄. 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, weβre asked to draw a line which is parallel to line π΄ 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 weβre asked to draw a line which is parallel to line π΄. If we join these two vertices together, we can see that the line weβve drawn is not parallel to line π΄. If we draw a line joining these two vertices, the line that weβve drawn is parallel to line π΄. 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 π΄. 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 π΄. 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 π΄. And the second diagram shows the two possible lines we could draw to make lines perpendicular to line π΄.

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