IM 8.1.15 Lesson: Adding the Angles in a Triangle

Complete the table by drawing a triangle in each cell that has the properties listed for its column and row. If you think you cannot draw a triangle with those properties, write “impossible” in the cell.
Share your drawings with a partner. Discuss your thinking. If you disagree, work to reach an agreement.
Your teacher will give you a card with a picture of a triangle. The measurement of one of the angles is labeled. Mentally estimate the measures of the other two angles.
[list=1][*]The measurement of one of the angles is labeled. Mentally estimate the measures of the other two angles.[br][/*][*]Find two other students with triangles congruent to yours but with a different angle labeled. Confirm that the triangles are congruent, that each card has a different angle labeled, and that the angle measures make sense.[br][/*][*]Enter the three angle measures for your triangle on the table your teacher has posted.[color=#ff0000][br][/color][/*][/list][br]You can use the applet below to store your information.
You are given three angles in the applet below. Can you make a triangle from each set that has these same three angles?
Here is a quadrilateral. Its tears are marked with different colors and those are lined up below.
What do you notice?
Move the angles to get different quadrilaterals. Do you have a conjecture about the angles?
Schließen
– GeoGebra Classroom Activities

Information: IM 8.1.15 Lesson: Adding the Angles in a Triangle