Construct

construct a line segment or an angle—it's your choice! then, bisect the segment or angle you constructed.

think about the steps you took to construct and bisect the line segment or angle.

if you chose a line segment, how are the construction steps you completed similar to the steps you would have taken to construct and bisect an angle? how are they different?

if you chose an angle, how are the construction steps you completed similar to the steps you would have taken to construct and bisect a line segment? how are they different?

Step-by-step explanation:

1) Line segment bisecting: Choose a line segment, open a compass slightly larger than the half of the line. Trace arcs over and below the line, then trace a perpendicular line that bisects the original line, in two halves.

Similarity: both bisections depend on points found on the intersection of traced arcs.

Difference: The angle formed by the bisector line is perpendicular, while the angle of the bisecting angle divides the angle in two, but has one definite measure.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm