Question
Construct a square, each of whose diagonals measures 5.8cm.
✓
Answer
We know that the diagonals of a square bisect each other at right angles.
Steps of construction: Step 1: Draw AC = 5.8cm. Step 2: Draw the perpendicular bisector XY of AC, meeting it at O. Step 3: From O: $\text{OB}=\frac{1}{2}(5.8)\text{cm}=2.9\text{cm}$ $\text{OD}=\frac{1}{2}(5.8)\text{cm}=2.9\text{cm}$ Step 4: Join AB, BC, CD and DA. ABCD is the required square.
Steps of construction: Step 1: Draw AC = 5.8cm. Step 2: Draw the perpendicular bisector XY of AC, meeting it at O. Step 3: From O: $\text{OB}=\frac{1}{2}(5.8)\text{cm}=2.9\text{cm}$ $\text{OD}=\frac{1}{2}(5.8)\text{cm}=2.9\text{cm}$ Step 4: Join AB, BC, CD and DA. ABCD is the required square.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Draw a rhombus EFGH by taking convenient length of side and convenient measure of an angle.
Draw its diagonals and name their point of Intersection as M.
i. Measure the opposite angles of the quadrilateral and angles at the point M.
ii. Measure the two parts of every angle made by the diagonal.
iii. Measure the lengths of both diagonals. Measure the two parts of diagonals made by point M.
Observe the measures. Also observe the measures obtained by your classmates and discuss about them.
Draw its diagonals and name their point of Intersection as M.
i. Measure the opposite angles of the quadrilateral and angles at the point M.
ii. Measure the two parts of every angle made by the diagonal.
iii. Measure the lengths of both diagonals. Measure the two parts of diagonals made by point M.
Observe the measures. Also observe the measures obtained by your classmates and discuss about them.
In the given figure, line p || line q. Line t and line s are transversals. Find measure of ∠x and ∠y using the measures of angles given in the figure.
$\frac{2}{3}(\text{x}-5)-\frac{1}{4}(\text{x}-2)-\frac{9}{2}$
→Draw an isosceles triangle. Locate its centroid, orthocentre, circumcentre and incentre. Verify that they are collinear.
Simplify :
(3r – 2k)³ + (3r + 2k)³
Construct a quadrilateral PQRS, in which $\angle\text{PQR}=45^\circ,$ $\angle\text{QRS}=90^\circ,$ QR = 5cm, PQ = 9cm and Rs = 7cm.
→Construct a quadrilateral ABCD in which AB = 4.4cm, BC = 4cm, CD = 6.4cm, DA = 3.8cm and BD = 6.6cm.
The sides of a rectangle are in the ratio 2 : 3 and its perimeter is 20cm. Draw the rectangle.
Expand (x + a) (x + b) using formulae for areas of a square and a rectangle.
(x + a) (x + b) = x² + ax + bx + ab
(x + a) (x + b) = x² + (a + b) x + ab
(x + a) (x + b) = x² + ax + bx + ab
(x + a) (x + b) = x² + (a + b) x + ab
Find the area of a trapezium whose parallel sides are 25cm, 13cm and the other sides are 15cm.