Answer the following:

Question

Given the figure with T1 // T2. If AB = BC = CD = 12, AE = 10, find CH and FH.

Given the figure with T1 // T2, BC = CD. If GH = 7, find DI.

Given the figure with AB = BC. If CG = 9, and AJ = 15 find BF.

Given the figure with AB = BC, then ▭BAJF is always a _________.

Given the figure with T1 // T2. If AB = BC, then ▭BAEF is always a _________.

Answer 1

A) Lines are parallel and evenly spaced, so CH = AE = 10 and FH = BC = 12

B) Lines are parallel and BC = CD, so G is midpoint of CH. GH = 7 (halfway) so CH = DI = 14.

C) Again, even spacing, so F is midpoint of GJ, so BF is average of CG and AJ, or (9+15)/2 = 12

D) Was this mistyped? AB=BC won't affect BAJF.

E) Trapezoid. One pair of parallel sides. We don't know if L1 and L2 are parallel.