Back to Constructing and Bisecting Line Segments and Angles — Problem 2 · Task Set 28

Exercises: Constructing and Bisecting Line Segments and Angles

Use only a pair of compasses and a straight edge to construct — a protractor may only be used to check your work afterward.

Grade 7·15 problems·~24 min·Uganda NCDC Primary 7 Mathematics·lesson·construction-02

Work through problems with immediate feedback

Fluency Practice

$Perpendicular bisector construction of segment AB showing equal arcs from A and B crossing above and below, with the bisecting line meeting AB at a right angle$

You construct the perpendicular bisector of $AB = 10$ cm using equal arcs from $A$ and from $B$ . What TWO facts does the resulting line give you about $AB$ ?

It only finds the midpoint of $AB$ ; the right angle needs a separate construction

It cuts $AB$ at its midpoint AND meets $AB$ at $90\degree$ — both from the same construction

It only produces a right angle at one end of $AB$ , not the midpoint