Perpendicular to a given line through a given point
The starter and exit quiz of the lesson “Perpendicular to a given line through a given point”, from the unit “Constructions” (Year 8 Maths) by Oak National Academy.
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Oak National Academy
12 questions
This quadrilateral is a kite. Find the value of angle a, in degrees.
This diagram shows an accurate construction of a perpendicular bisector. YZ has a length of 8.4 cm. Which of these is the smallest value of r that can be used in this construction?
Match the sentence to the diagram.
This is an incomplete construction to find the perpendicular bisector of YZ. Which of these steps is missing from this construction?
This is an accurate construction to draw a rhombus. What is the perimeter (in cm) of the rhombus that can be drawn from this construction?
Sofia starts her construction of a perpendicular bisector to EF. She is about to move the pair of compoasses to construct a second circle. Which of these statements are true?
The line segment EF has been shortened by constructing a circle of radius 8 cm, with a centre at point K. What is the length (in cm) of the shortened line segment?
Which of these diagrams shows the most appropriate first step when constructing the perpendicular to line segment TU through point Z?
Izzy has shortened line segment LM by drawing a circle with centre at point Z. Izzy wants to draw four arcs of radius k cm to construct a perpendicular. What value must k be greater than?
A line segment is extended so that a perpendicular can be constructed through point Z. Which of these diagrams shows a suitable extension of the line segment?
Which of these four circles can help in the construction of the perpendicular to line segment WU through point Z?
