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Mathematics 14 Online
OpenStudy (anonymous):

Use the coordinate plane illustrating quadrilaterals MNOP and EFGH to answer the question that follows.

OpenStudy (anonymous):

What is the relationship between isosceles trapezoid MNOP and isosceles trapezoid EFGH? congruent similar no relationship

jimthompson5910 (jim_thompson5910):

how long is segment EF?

OpenStudy (anonymous):

its it similar

jimthompson5910 (jim_thompson5910):

can you tell me how long EF is?

OpenStudy (anonymous):

i dont know

jimthompson5910 (jim_thompson5910):

count how many units you go down to go from E to F

OpenStudy (anonymous):

4?

jimthompson5910 (jim_thompson5910):

no, it's actually 3

jimthompson5910 (jim_thompson5910):

now notice how if you go from M to N, you also go 3 units

jimthompson5910 (jim_thompson5910):

do you see this?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

so no relationship

OpenStudy (anonymous):

so *

jimthompson5910 (jim_thompson5910):

so EF = MN

jimthompson5910 (jim_thompson5910):

basically EF and MN are congruent if you can show that OP and HG are congruent, then the two trapezoids are congruent

OpenStudy (anonymous):

so its similar

OpenStudy (anonymous):

what

jimthompson5910 (jim_thompson5910):

does OP = HG?

OpenStudy (anonymous):

nope

jimthompson5910 (jim_thompson5910):

you sure?

jimthompson5910 (jim_thompson5910):

count the units to confirm

OpenStudy (anonymous):

wait they both are 10

jimthompson5910 (jim_thompson5910):

close, both are 9

OpenStudy (anonymous):

so they both are similar

jimthompson5910 (jim_thompson5910):

they are, but they are also congruent so congruent is the answer

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