Question

1) PQ is a given line segment. A is a point outside
it. From A, draw a perpendicular AB to PQ.
Through A, draw a line segment AC parallel to
PQ. Now answer the given questions.
(i) Measure AB. Mark another point D on AC
and measure the perpendicular distance
from D to PQ. What do you conclude?
(ii) What is the relation between AB and AC?
(iii) Can you mark one pair of interior angles
whose sum is 180°? please answer step by step with explanation​

Answer 1

Answer:

Steps of Construction :

1. With P and Q as centers, draw arcs on both sides of PQ with equal radii. The radius should be more than half the length of PQ.

2. Let these arcs cut each other at points R and RS

3. Join RS which cuts PQ at D. Then RS=PQ. Also ∠POR=90∘

Hence, the line segment RS is the perpendicular bisector of PQ as it bisects PQ at P and is also perpendicular to PQ. On measuring the lengths of PR=4cm, QR=4 cm Since PR=QR, both are 4cm each

∴PR=QR.