In parallelogram ABCD, segment BH is perpendicular to segment AD and segment BG is perpendicular to segment CD.

Question

How are triangle ABH and triangle CBG related?

a.
same areas
b.
same perimeters
c.
similar
d.
congruent

Answer 1

Draw and label a diagram.

∠HAB ≅ ∠BCG

∠HBA ≅ ∠GBC

∠H ≅ ∠G

 

ΔAHB ≈ ΔGCB    by AAA

 

c.