Question
Using ruler and compasses only, construct a rectangle each of whose diagonals measure $6\ cm$ and the diagonals interest at an angle of $45^o.$
✓
Answer
To draw the rectangle follows the steps:
$1.$ First draw a line $AC$ of measure $6\ cm$.
$2.$ Then draw the perpendicular bisector of $AC$ through $O$.
$3.$ At $O$ draw an angle of measure $45^{\circ}$. Then produce $OD$ of measure $3\ cm$ and $OB$ of measure $3\ cm$ each.
$4.$ Now join $AD, AB, BC$, and $CD$ to form the rectangle.
$1.$ First draw a line $AC$ of measure $6\ cm$.
$2.$ Then draw the perpendicular bisector of $AC$ through $O$.
$3.$ At $O$ draw an angle of measure $45^{\circ}$. Then produce $OD$ of measure $3\ cm$ and $OB$ of measure $3\ cm$ each.
$4.$ Now join $AD, AB, BC$, and $CD$ to form the rectangle.
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