Ask your own question, for FREE!
Mathematics 22 Online
OpenStudy (anonymous):

The figure shows two parallel lines AB and DE cut by the transversals AE and BD: AB and DE are parallel lines, and AE and BD are transversals. The transversals intersect at C. Angle CAB is labeled 1, angle ABC is labeled 2, angle ACB is labeled 3, angle DCE is labeled 4, angle CDE is labeled 6, and angle CED is labeled 5. Which statement best explains the relationship between Triangle ABC and Triangle EDC ? Triangle ABC is similar to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4 Triangle ABC is similar to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5 Triangle ABC is congruent to tri

OpenStudy (anonymous):

OpenStudy (michele_laino):

here, we have this: angles 3 and 4 are congruent since they are vertical angles angles 1 and 5 are congruent because they are interior alternate angles angles 2 and 6 are congruent, since they are interior alternate angles

OpenStudy (anonymous):

its either b or c

OpenStudy (michele_laino):

more precisely is it b or is it c?

OpenStudy (anonymous):

but the sign a proximatley equal to

OpenStudy (michele_laino):

hint: similar triangles have congruent interior angles

OpenStudy (anonymous):

Its c

OpenStudy (michele_laino):

are you sure?

OpenStudy (anonymous):

im like 90% percent sure

OpenStudy (michele_laino):

It is option b, since the two triangles have interior angles congruent neatly

OpenStudy (anonymous):

man but what makes it b?

OpenStudy (anonymous):

wait so what does this sign mean ~

OpenStudy (michele_laino):

please look at my post above: angle 3 and 4 are congruent, since they are vertical angles

OpenStudy (michele_laino):

that symbol means "congruent"

OpenStudy (anonymous):

oh i was getting confused in between the signs that is why i chose c

OpenStudy (michele_laino):

ok!

OpenStudy (michele_laino):

in general the symbol "~" between two geometrical object, namely sides or angles, means "congruent"

OpenStudy (michele_laino):

objects*

OpenStudy (anonymous):

okay thank you (:

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!