IM Geo.2.11 Lesson: Side-Side-Angle (Sometimes) Congruence
What do you notice? What do you wonder?
In triangles and :
Use the applet below to make a triangle using the given angle and side lengths so that the given angle is not between the 2 given sides. Try to make your triangle different from the triangles created by the other people in your group.
- Angle:
- Side length: 6 cm
- Side length: 8 cm
Your teacher will assign you some sets of information.
When you are confident they are accurate, create a visual display.
Triangle ABC is shown. Use your straightedge and compass to construct a new point D on line AC so that the length of segment BD is the same as the length of segment BC.
Now use the straightedge and compass to construct the midpoint of . Label that midpoint . Explain why triangle is a right triangle.
Explain why knowing the angle at and the side lengths of and was not enough to define a unique triangle, but knowing the angle at and the side lengths of and would be enough to define a unique triangle.