We can use a ruler to measure the distance between Anica's fist and shoulder. Here is an illustration using the picture from the book (Glencoe Geometry, 2014).
We can see that the distance in Position 2 is greater.
b
Let's look at the triangles formed by Anica's fist, elbow, and shoulder.
Now we will summarize what we know about these triangles.
Claim
Justification
CD≅FG
Both segments represent the length of Anica's lower arm.
DE≅GH
Both segments represent the length of Anica's upper arm.
CE< FH
This is the result of the measurements in Part A.
According to the Converse of the Hinge Theorem, the claims in the table imply that the angle included between sides CD and DE in triangle â–³ CDE is smaller than the corresponding angle in triangle â–³ FGH.
∠D< ∠G
The measure of the angle formed by Anica's elbow is greater in Position 2.
