Secant and Secant Segments
1.
In geometry, segments such as XY and XZ are called ___________________.
2.
Do you see a relationship among the segment measures?
3.
Do the following calculations:
4.
XY + AX = ___________ XZ + BX = ____________
5.
Are the sums equal?
6.
XY - AX = ___________ XZ - BX = ___________
7.
Are the differences equal?
8.
XY * AX = __________ XZ * BX = __________
9.
Are the products equal?
10.
Grab point X and move it around circle O. What do you notice about the products of XY * AX and XZ * BX?
11.
Make a conjecture (statement) about the products of secant segments using the names of the segments in the above circle.