Constructing Rectangles & Squares with Diagonals
Constructing Rectangles & Squares with Diagonals
Last updated at November 5, 2025 by Teachoo
Transcript
Constructing Rectangle in which Diagonal divides the opposite anglesConstruct a rectangle in which one of the diagonals divides the opposite angles into 60° and 30°. Let’s make a figure For rectangle ABCD Rectangle ABCD where Diagonal AC divides it into 60° and 30° We have to assume a length of Rectangle Let Length of Rectangle = AB = 7 cm Steps of construction 1. Draw side AB of length 7 cm 2. Now, we draw 90° from point A 3. Now, we draw 90° from point B From point A - we draw 30° Where that line intersects the perpendicular from point B is point C To mark point D – we can use two Methods Method 1 to mark point D 6. We draw 90° from point C. 7. Where that line intersects perpendicular from A is point D Method 2 to mark point D 6. We measure BC using compass and then mark point D on line perpendicular to A such that AD = BC 7. Join CD Thus, ABCD is our required rectangle