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Mathematics 7 Online
OpenStudy (anonymous):

can someone please help me on a geometry question?

OpenStudy (anonymous):

i can try

OpenStudy (anonymous):

A student wrote the following sentences to prove that the two pairs of parallel opposite sides of parallelogram ABCD are congruent: For triangles ABD and CDB, alternate interior angles ABD and CDB are congruent because AB and DC are parallel lines. Alternate interior angles ADB and CBD are congruent because AD and BC are parallel lines. DB is congruent to DB by _______________. The triangles ABD and CDB are congruent by ASA postulate. As corresponding parts of congruent triangles are congruent, AB is congruent to DC and AD is congruent to BC by CPCTC. Which phrase best completes the student's proof?

OpenStudy (anonymous):

associative property reflexive property substitution property transitive property

OpenStudy (anonymous):

@freckles can you help me?

OpenStudy (iiariana):

Wrong section.

OpenStudy (freckles):

that link doesn't work @iiAriana is not showing math for you? it is showing math for me.

OpenStudy (anonymous):

OpenStudy (freckles):

also reflexive property is x=x transitive property says if x=a and b=x, then a=b associative property is (a+b)+c=a+(b+c) substitution property is something like if a=b and b<c, then a<c (See how b was replaced with a; we substituted a for b since a=b)

OpenStudy (freckles):

DB is congruent to DB by _______________. so what property seems most likley here ?

OpenStudy (freckles):

likely *

OpenStudy (anonymous):

Associative property ?

OpenStudy (freckles):

think of the equals above like congruency reflexive property is x congruent to x etc...

OpenStudy (anonymous):

I'm confused because I' not very good with this stuff

OpenStudy (freckles):

doesn't that like say DB is congruent to DB

OpenStudy (freckles):

compared this to what I wrote

OpenStudy (freckles):

what is the only thing in that form

OpenStudy (freckles):

reflexive property is x is congruent to x transitive property says if x is congruent to a and b is congruent to x, then a is congruent to b ... associative property is (a+b)+c=a+(b+c) substitution property is something like if a=b and b<c, then a<c (See how b was replaced with a; we substituted a for b since a=b)

OpenStudy (freckles):

isn't DB congruent to DB in the form x congruent to x?

OpenStudy (anonymous):

yes

OpenStudy (freckles):

and what name does that property have?

OpenStudy (freckles):

you can find above that I called it the...

OpenStudy (anonymous):

Reflexive property?

OpenStudy (freckles):

yes!

OpenStudy (freckles):

have to go now have fun :)

OpenStudy (anonymous):

ok thanx so much :)

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