. Rajiv is a good student and actively involved in applying knowledge of mathematics in daily life. He asked his classmate Rahul to make a triangle as shown by choosing one of the vertex as common. Rahul tried but not correctly. After sometime Rajiv hinted Rahul about congruency of triangle. Now, Rahul fixed vertex C as common vertex and locate point D, E such that AC = CD and BC = CE. Was the triangle made by Rahul is congruent ? Write the condition satisfying congruence. What value is depicted by Rajiv’s action? *
Answers
Answer:Rajiv, a good student and actively involved in applying knowledge of Mathematics in daily life . He
asked his classmate Rahul to make triangle by choosing one of the vertex as common. Rahul tried but not
correctly. After some time , Rajiv hinted Rahul about congruency of triangle. Now Rahul fixed C as common
vertex and located the points D, E such that AC = CD and BC = C E.
(a) Draw the figure by imagining that you are Rahul.(1 mark )
(b) Was the triangles made by Rahul , congruent ? (1 mark )
(c) Write the condition satisfying the congruence .(1mark )
(d) What value is depicted by Rajiv? (1 mark )
(e) Also, give the CPCT. ( 1 mark )
Step-by-step explanation:
Answer:
GIVEN: A triangle made by Rahul where AC = CD and BC = CE
TO FIND: Triangle made by Rahul is congruent or not?
SOLUTION:
As we said in the question,
In Triangle ACB and DCE,
AC = CD [ given ]
∠BCA = ∠CED [ Vertically Opposite Angle ]
BC-= CE [ given ]
Hence,
Triangle ACB and DCE are congruent to each other using SAS congruence.
Therefore,
The diagram made by Rajiv is congruent using the SAS rule.