Checking and securing understanding of constructing the perpendicular bisector of a line segment

Maths

Checking and securing understanding of constructing a perpendicular to a given line through a point

Checking and securing understanding of bisecting an angle

Constructing angles of  90° and 45°

Constructing a triangle given three side lengths using compasses

Constructing a triangle given two side lengths and the angle between them using a compass

Constructing a triangle given two angles and the side length between them

Constructing a right-angled triangle given the length of the hypotenuse and one other side length

Constructing a triangle given two side lengths and an angle not between them

Constructing loci

Applying constructions to loci problems

Solving loci problems in context

Problem solving with loci and constructions

The constructions covered in the prior unit are built on in this unit. In this unit, pupils construct triangles and construct diagrams following specific restrictions.

In this unit, pupils construct triangles and construct diagrams following specific restrictions using their knowledge of loci and their work on constructions.

Loci and construction

To {{}} means to cut or divide an object into two equal parts. 

Lines of symmetry bisect each other at right-angles

Two triangles are put together to form a quadrilateral. Which quadrilateral is a rhombus?

Aisha correctly draws three of the four arcs needed to construct the perpendicular bisector of LM. Point A is 5 cm away from point L. Point B is {{ }} cm away from point M.

It is impossible to tell if C is closer to A or B.

Jacob correctly draws three of the four arcs needed to construct the perpendicular bisector of AB. Which of these statements is correct?

Which of these diagrams show an accurate construction of a perpendicular bisector of the line segment AB?

A {{ }} is a parallelogram where all sides are the same length and the angles are not equal to 90°.  

Sofia takes this item from her geometry set. What is the name of this item?

Jacob takes this item from his geometry set. What is the name of this item?

Triangle ABC has 2 equal sides and 2 equal angles. What type of triangle is ABC?

A {{}} is a quadrilateral with two pairs of parallel and equal sides. 

Part of a circle's circumference is called...

Checking and securing understanding of constructing the perpendicular bisector of a line segment

Lesson outcome