Answer:
The statement most accurately describes the relationship between
segments of the triangles formed by the beam is AC < DF
Step-by-step explanation:
* Lets study the figure to answer the problem
- There are two triangles ABC and DEF
- AB = BC
- DE = EF
- AB = DE
∴ AB = BC = DE = EF
- m∠ABC = 45°
- m∠DEF = 60°
∵ The measure of angle ABC is smaller than the measure of
angle DEF
∴ The opposite side to the angle ABC is shorter than the opposite
side of angle DEF
∵ AC is the opposite side to angle ABC
∵ DF is the opposite side to angle DEF
∴ AC is shorter than DF
∴ DF > AC
∴ AC < DF
* The statement most accurately describes the relationship between
segments of the triangles formed by the beam is AC < DF