Bluebonnet Module 2 Topic 1 Lesson 4 Activity 4.3
Consider the diagram above.
Measure the side lengths of triangle TBS.
Step 2.
Construct two congruent line segments to the radius ST.
Label these two new points on the circle point U and point X.
Create segments for triangle UBS and XBS.
Question 3
How can you use the diagram and the triangles you drew to demonstrate the Triangle Inequality Theorem?
Step 5.
Step 5a.
Create the midpoint of ST1 and ST2. Label these points as X and Y respectively.
Create the midpoint of BT1 and BT2. Label these points as R and S respectively.
Step 5b)
Measure the length of midsegment RX. Measure the length of midsegment SY. What do you notice? What conjecture can you make about the midsegment of each triangle?