Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
Cumulative Assessment

Exercise 1 Page 492

A bisector cuts a segment in half.

l, n, and m

Practice makes perfect
Let's start by calculating the smaller segments for which we have algebraic expressions. If any adjacent segments are the same size, we know they are bisected.
Segment Expression Substitute x with 3 =
AB x+1 3+1 4
BC 6(4-x) 6(4- 3) 6
CD 4x-6 4( 3)-6 6
DE 2(5x-7)-8 2(5( 3)-7)-8 8
EF 3(5-x)+2 3(5- 3)+2 8

Having calculated each of the smaller segments, we can list l as a bisector of BC and CD. We can also list n as a bisector of DE and EF. Finally, we can also list m as a bisector of AD and DF because the smaller segments that make up each of these add up to the same measure, 16.