Maths problems

Asad Abbas

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Mar 30, 2011
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I wanted some help with both of these questions but please explain them in an easy way as I am in grade 7.In the first questions I need help in knowing the steps to use.In the second question I would like to know if I am doing it right.If I am doing any mistakes please point them out and tell me what to do to correct them.
 

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Hello, Asad Abbas!

Your second problem is correct . . . Good work!

I think I understand the first problem.


\(\displaystyle ABCD\text{ is a kite. }\;AC = 10\text{ cm, }\,BD = 12\text{ cm.}\)
\(\displaystyle BD\text{ is the axis of symmetry.}\)
\(\displaystyle \text{Prove that the diagonals are perpendicular.}\) . . Is that what you meant?

\(\displaystyle \text{Due to the symmetry: }\:DA = DC\,\text{ and }\,BA = BC.\)

\(\displaystyle \text{Hence: }\:\begin{Bmatrix}D\text{ is equidistant from }A\text{ and }C. \\ B\text{ is equidistant from }A\text{ and }C.\end{Bmatrix}\)

\(\displaystyle \text{Therefore, }BD\text{ is the perpendicular bisector of }AC.\)

 
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