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Mathematics 9 Online
OpenStudy (anonymous):

prove that square is a rhombus by using the 2 column format

Directrix (directrix):

Please post the diagram. Thanks.

OpenStudy (anonymous):

Our teacher didn't post a diagram. She just instructed us that prove that square is a rhombus.

OpenStudy (anonymous):

Please help me :"((

OpenStudy (anonymous):

There's one more thing. make a proving in theorem theorem 4-7 the diagonals of a square bisects the vertex angle using two column format

Directrix (directrix):

@rubyjane Before I can help, I need to know these two things: 1) How is square defined in your book? 2) How is rhombus defined in your book?

Directrix (directrix):

Also, Theorem 4-7 means the 7th theorem in chapter 4 in somebody's book. So, I don't know what that theorem states. In a new thread, post the exact wording of that theorem, okay?

OpenStudy (anonymous):

theorem 4-7 the diagonals of a square bisects the vertex angle

Directrix (directrix):

Theorem 4-7 in my book is this: If a point lies on the bisector of an angle, the the point is equidistant from the sides of the angle.

OpenStudy (anonymous):

this is the topic : properties of diagonals in special quadrilaterals

Directrix (directrix):

I need this for the first proof: @rubyjane 1) How is square defined in your book? 2) How is rhombus defined in your book?

OpenStudy (kc_kennylau):

The definition in my book: A square is a rhombus with a right angle :)

OpenStudy (anonymous):

@kc_kennylau same

OpenStudy (kc_kennylau):

REALLY?! I CREATED THAT!!!!! YAY :DDD

Directrix (directrix):

If "A square is a rhombus" by definition, then why @rubyjane are you being asked to prove that it is true?

Directrix (directrix):

My book's definition of square: Square: A quadrilateral with four right angles and four congruent sides.

OpenStudy (anonymous):

I really don't know. our teacher just said that we need to prove

Directrix (directrix):

The first relationship is true by definition. There is nothing to prove. Let's look at this: The diagonals of a square bisects the vertex angle. What is meant by vertex angle? Did you mean to write "Each diagonal of a rhombus bisects two angles of the rhombus." Unless we are clear on what it is we want to prove, we won't be able to get anywhere. So, that is why I am asking.

OpenStudy (kc_kennylau):

|dw:1386492755738:dw|

OpenStudy (anonymous):

theorem 4-7 the diagonals of a square bisects the vertex angle

OpenStudy (anonymous):

the topic is properties of diagonals in special quadrilaterals

Directrix (directrix):

I think vertex angles must be the angles of the square or whatever. Look at this: http://www.teachertube.com/viewVideo.php?video_id=20730

OpenStudy (anonymous):

I already watched it

Directrix (directrix):

The diagonals of a square bisects two angles of the square. Given: Square ABCD with diagonal AC Prove: <1 ≅ <2; Also, <3 ≅ <4 |dw:1386493525118:dw|

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