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Mathematics 8 Online
OpenStudy (anonymous):

Can some one help me ?? plz Ill give you a medal

OpenStudy (ranga):

Will you be posting a question?

OpenStudy (anonymous):

I sent you a message

OpenStudy (ranga):

None received so far.

OpenStudy (jdoe0001):

not sure the msg system is currently working either way.. it should be a posting

OpenStudy (anonymous):

OpenStudy (anonymous):

@ranga heres the picture for the question

OpenStudy (anonymous):

@ranga are you able to help me.

OpenStudy (ranga):

The message and reply notifications are not working properly. Just got the message you sent 12 minutes ago: "Write a paragraph to prove that the measure of angle 4 is equal to the measure of angle 8." PQ and RS are parallel lines and t is a transversal. Angles 4 and 8 are corresponding angles and therefore they are equal.

OpenStudy (anonymous):

yea thats the question

OpenStudy (anonymous):

I just really need help.

OpenStudy (ranga):

IDK how to write a paragraph to prove that. There is a theorem that state corresponding angles are equal. Angles 4 and 8 are corresponding angles and therefore they are equal.

OpenStudy (anonymous):

ohh ok well do you think you can help me with a different question? \

OpenStudy (ranga):

I can try.

OpenStudy (anonymous):

Prove that opposite angles of a parallelogram are congruent. Be sure to create and name the appropriate geometric figures.

OpenStudy (anonymous):

that the question and its confusing.

OpenStudy (ranga):

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OpenStudy (ranga):

ABCD is a parallelogram where the opposite sides are parallel. CD and AB are parallel and CB is a transversal. Therefore, angles marked 1 and 2 are equal because they are alternate interior angles: Angle 1 = Angle 2 ----- (1) AD and BC are parallel and AD is a transversal. Therefore, angles marked 2 and 3 are equal because they are corresponding angles: Angle 2 = Angle 3 ----- (2) From equations (1) and (2) we can conclude Angle 1 = Angle 3. Therefore the opposite angles of a parallelogram are congruent. You can follow a similar procedure to prove the other pair of opposite angles, namely, angles B & D are also congruent.

OpenStudy (anonymous):

ohh ok thanks :)

OpenStudy (ranga):

you are welcome.

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