Case Study Questions for Class 9 Maths Chapter 7 Triangles

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Case Study Questions for Class 9 Maths Chapter 7 Triangles

Here we are providing case study questions for Class 9 Maths Chapter 7 Triangles. Students are suggested to solve the questions by themselves first and then check the answers. This will help students to check their grasp on this particular chapter Triangles.

Case Study Questions:

Questions 1:

In a park, there are two triangular flower beds. Flower bed ABC has sides AB = 8 cm, BC = 6 cm, and CA = 10 cm. Flower bed PQR has sides PQ = 8 cm, QR = 10 cm, and RP = 6 cm.

(i) Using the given information, can we conclude that flower bed ABC is congruent to flower bed PQR? Why or why not?
a) Yes, because all three sides of ABC are equal to the corresponding sides of PQR.
b) Yes, because all three angles of ABC are equal to the corresponding angles of PQR.
c) No, because the sides and angles of ABC and PQR are not equal.
d) Yes, because ABC and PQR are both triangular flower beds.

(ii) If angle A = 40° and angle B = 60° in flower bed ABC, what is the measure of angle C?
a) 40°
b) 60°
c) 80°
d) 100°

(iii) In flower bed ABC, a new side AD is added such that AD = 8 cm. Now, can we conclude that triangle ABD is congruent to triangle PQR? Why or why not?
a) Yes, because all three sides of ABD are equal to the corresponding sides of PQR.
b) Yes, because all three angles of ABD are equal to the corresponding angles of PQR.
c) No, because the sides and angles of ABD and PQR are not equal.
d) Yes, because both triangles have a side of 8 cm.

(iv) If angle P = 50° and angle Q = 70° in flower bed PQR, what is the measure of angle R?
a) 50°
b) 70°
c) 90°
d) 110°

(v) Suppose flower bed ABC is shifted to a new location within the park without changing its shape or size. In this new location, is flower bed ABC congruent to its original position? Why or why not?
a) Yes, because the shape and size of ABC remain the same.
b) No, because the location of ABC has changed.
c) Yes, because the park remains the same.
d) No, because the other flower bed PQR is not shifted.

Answers:

(i) c) No, because the sides and angles of ABC and PQR are not equal.

(ii) c) 80°

(iii) b) Yes, because all three angles of ABD are equal to the corresponding angles of PQR.

(iv) d) 110°

(v) a) Yes, because the shape and size of ABC remain the same.

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