Construct ΔABC with BC = 7.5 cm, AC = 5 cm and m ㄥC = 60°.

5

(a)

Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.

5

(a)

Construct ΔPQR, if PQ = 5 cm, mㄥPQR = 105° and mㄥQRP = 40°.

5

(a)

Construct an isosceles right angled ΔABC, where m ㄥACB = 90° and AC = 6 cm.

5

(a)

Construct \(\triangle DEF\) such that DE = 5 cm, DF = 3 cm and m \(\angle EDF=90^0\).

5

(a)

The Measures of certain sides and angles ot triangles. Identity those which cannot be constructed and say why you cannot construct them? Construct rest ot the triangles.

Triangle	Given Measurements
ΔABC	DE=4.5 cm	EF=5.5cm	DF=4 cm

5

(a)

Draw a pair of parallel lines, where both the lines be 4 cm apart using ruler and compasses.

5

(a)

Construct a \(\triangle ABC\) in which AC = 4 cm, \(\angle A=75^0,\angle C=60^0\).

5

(a)

Draw \(\triangle ABC\) and  \(\triangle PQR\) sueh that AB = 3 cm, BC = 4 cm and AC = 5 cm, where as PQ = 3 cm, \(\angle P=60^0,\angle Q=60^0.\) What is the relation between AC and PR and between \(\angle ABC,\angle PQR?\)

5

(a)

Construct ΔPQR, if PQ = 5 cm, m \(\angle PQR\) = 105° and m \(\angle QRP\) = 40°​​​​​​​ (Hint: Recall angle-sum property of a triangle).

5

(a)