Back to Exercise: Constructing and Bisecting Line Segments and Angles

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
A

Recall / Warm-Up

Review the difference between constructing and measuring before bisecting anything.

1

Asked to construct a 60°60\degree angle, which method actually counts as constructing?

2

To copy a segment ABAB with a pair of compasses, what do you do first?

B

Fluency Practice

1

You copy segment AB=9AB = 9 cm onto a fresh line starting at point CC, using the compass capture-and-mark method (no ruler reading). What is the length of the copied segment CDCD?

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
2

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

An 80-degree angle at vertex O with a single arc from the vertex crossing both arms at points P and Q
3

To bisect an 80°80\degree angle at vertex OO, where do you strike the FIRST arc from?

4

You bisect a constructed 90°90\degree angle using the compass method. What angle results from each half?

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