Question

Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals.
Name them. Is the meeting point of diagonals in the interior or exterior of the
quadrilaterals?

Answer 1

Answer:

The meeting point of the diagonals is in the interior of the quadrilateral.

Steps of construction:

• Step 1: Draw PQ with known scale.
• Step 2: With P as a centre and known scale draw an arc.
• Step 3: With Q as a centre and known scale, draw another arc, cutting the previous arc at R.
• Step4: Join QR.
• Step 5: With P as a centre and known scale, draw an arc.
• Step 6: With R as a centre and known scale, draw another arc, cutting the previous arc at S.
• Step 7: Join PS and RS.

Thus, PQRS is the required quadrilateral.

Consider the attached figure.

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

The meeting point of the diagonals is in the interior of the quadrilateral.

Steps of construction:

Step 1: Draw PQ with known scale.

Step 2: With P as a centre and known scale draw an arc.

Step 3: With Q as a centre and known scale, draw another arc, cutting the previous arc at R.

Step4: Join QR.

Step 5: With P as a centre and known scale, draw an arc.

Step 6: With R as a centre and known scale, draw another arc, cutting the previous arc at S.

Step 7: Join PS and RS.

Thus, PQRS is the required quadrilateral.

Consider the attached figure.