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Tools You Have Earned

Part of the Transformations & Constructions section of Coddy's Geometry journey. Lesson 50 of 61.

Once you can build a construction, you can use it as one tool. From now on some tasks unlock Perpendicular (tap a line, then a point) and Angle bisector (tap a point on one arm, then the vertex, then a point on the other arm). Each counts as one tool use.

$A right angle at V and its bisector at 45 degrees$

A 45° angle is half a right angle. So build a right angle with Perpendicular, mark a point on its new arm (a circle crosses it), and halve the right angle with Angle bisector. With the basic tools alone this takes 8 uses; the unlocked tools do it in about half.

Challenge

Construct a line through A at 45° to the ray AB, then press Check. The Perpendicular and Angle bisector tools are unlocked.

Try it yourself

$Construct it with a compass and straightedge$

Construct it with a compass and straightedge

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Transformations & Constructions

1Translations

Sliding a Shape Draw the Image Image Coordinates The Translation Rule Recap: Translations

4Combining Moves

One Move, Then Another Order Matters Two Mirrors Name the Move Recap: Combining Moves

7Drawing on Squared Paper

Lengths by Pythagoras Perpendicular Steps Squares by Area Right Triangles by Area Midpoints on the Grid Recap: Squared Paper

10Perpendiculars and Parallels

Perpendicular From a Point Perpendicular at a Point Parallel Through a PointTools You Have EarnedRecap: Parallels