Triangle Congruence: ASA

Construct a triangle with a 37° angle and a 73° angle connected by a side of length 4.
1. Select the SEGMENT WITH GIVEN LENGTH [icon]/images/ggb/toolbar/mode_segmentfixed.png[/icon] tool, and enter a length of 4.[br]2. Select the LINE [icon]/images/ggb/toolbar/mode_join.png[/icon] tool. Click on point A and then somewhere [i]above[/i] segment AB.[br]3. Select the ANGLE [icon]/images/ggb/toolbar/mode_angle.png[/icon] tool. Click points C, A, and B to measure angle A. If the measurement is over 180°, undo and click on them in reverse order.[br]4. Select the MOVE [icon]/images/ggb/toolbar/mode_move.png[/icon] tool, and move point C until angle BAC has a measure of 37°.[br]5. Select the LINE [icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon] tool. Click on point B and then somewhere [i]below[/i] segment AB.[br]6. Select the ANGLE [icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon] tool. Click points D, B, and A to measure angle B. If the measurement is over 180°, undo and click on them in reverse order.[br]7. Select the MOVE [icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon] tool, and move point D until angle DBA has a measure of 73°.[br]8. The place where the lines meet is the third vertex of your triangle. Use the INTERSECT [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon] tool to mark it as point E.[br]9. Select the DISTANCE OR LENGTH [icon]/images/ggb/toolbar/mode_distance.png[/icon] tool, and then click on points A and E to measure the distance between them. Do the same for points E and B.[br]10. Repeat this process and create another triangle with the above side lengths and angle measures.

Information: Triangle Congruence: ASA