Anonymous

PROVE RHOMBUS and RECTANGLE

I am a S.3 student only, don't use higher form Maths to teach me.

In Deductive Geometry

(NOT Coordinate Geometry NOR Analytical Geometry),

I don't want "property of rhombus" nor "property of rectangle".

I don't want to prove by "distance formula" nor "slope formula".

I want to prove by Deductive geometry ONLY

(similar to "opp. sides equal" "opp. angles equal" "diags. bisect each other" "two sides equal and //" in proving //gram)

Chinese or English are both ok.

Update:

For rectangle, I think to prove 3 right angles is ok!

Rating

因為rhombus and rectangle are both a type of parallelgram

so you should first prove they are parallelgram by opp. sides equal, opp. angles equal, diags. bisect each other, or two sides equal and //

Then, for rhombus,

the definition of rhombus is parallelgram which have four equal sides

so we need to prove the four sides are equal

for rectangle,

the definiton of rectangle is parallelgram which have four right angles

so we need to prove the four angles of parallelgram are right angle

Source(s): my math knowledge