Practical Geometry - Worksheets

 CBSE Worksheet-1

CLASS –VII Mathematics (Practical Geometry)


  1. Construct an isosceles triangle PQR where the non-equal side PQ = 4.2 cm and base angles are 30° each.
  2. If ABC exactly coincides with PQR then the triangles are________.
  3. In ABC, BC = CA. Which of its two angles are equal?
  4. If AB = QP, AC = QR, BC = PR, then ABC  QPR, state the congruence criterion involved here.
  5. State true or false: The total measure of all the three angles of a triangle is 360°.
  6. If we have PQ = 5 cm, PQR= 115° and QRP = 30°, can we construct a PQR with these measurements?
  7. Construct a LMN, in which MN = 6cm, ML= 4.5 cm and M = 30°.
  8. Construct a right triangle PQR in which Q = 90°, PR = 6 cm and QR = 4 cm.

CBSE Worksheet-1
CLASS –VII Mathematics (Practical Geometry)
Answer key


  1. congruent.
    Explanation:
    If three sides and three angles of one triangle are equal to three sides and three angles of second triangle then the two triangles are said to be congruent.
  2. A = B.
    Explanation:
    In an isosceles triangle, the angles opposite to equal sides are equal.
    In ABC, the angle opposite to side BC is A and the angle opposite to side CA is B.
    Hence, if BC = CA, then A = B.
  3. SSS.
    Explanation:
    If three sides of a triangle are equal to three corresponding sides of another triangle, then the two triangles are said to be congruent according to SSS congruency criterion.
    Given, in ABC and QPR,
    AB = QP, AC = QR, BC= PR
    Therefore, ABC  QPR , by SSS congruency criterion.
  4. False.
    Explanation:
    According to angle sum property of a triangle, sum of 3 angles of a triangle should be 180°.
  5. Yes.
    Explanation:
    Given, in PQR, PQ = 5 cm, PQR= 115° and QRP = 30°
    We can locate point R, by constructing the third QPR = 35° [180°- (115° + 30°)] from the point P, which meets PQR at R