Find the lengths of the line segments whose end points are given below. Explain how you determined that the line segments are horizontal or vertical. d. (-3, 4) and (-3, 9)

e. (2, -2) and (-8, -2)

Problem Set 1
Find the length of the line segment with end points (7 , 2) and (4 , 2), and explain how you arrived at your solution.

for b its (t) and c its (d)

step-by-step explanation:

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70

∠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.

answer: 48

just remember to use pemdas:

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