Drawing congruent figures
Japanese school year: Elementary 5
What you learn
Learn how to construct congruent triangles using a compass, ruler, and protractor based on specific side lengths and angle measurements. Focusing on necessary geometric conditions prepares you for technical drawing and design. Familiarity with the basic properties of congruent figures will make this topic easier to master.
Key points
This method constructs a congruent triangle when all three side lengths are known. Draw the base, use a compass to draw arcs from both ends with the other two side lengths, and connect their intersection.
Use this method when two side lengths and the included angle between them are known. Draw one side, measure the angle from an endpoint with a protractor, draw the second side, and connect the ends.
Use this method when one side length and the two angles at its ends are known. Draw the base side, measure the angles from both ends using a protractor, extend the lines, and connect at their intersection.
Choose a set to practice.