3 triangles are given A, B, C. All triangles are
Question 7 Draw a ΔABC in which AB= 4 cm, BC = 6 cm and AC = 9 cm, construct a triangle similar to ΔABC with scale factor 32. Justify the construction. Are the two triangles congruent? Note that, all the three angles and two sides of the two triangles are equal.
Thinking process
Triangles are congruent when all corresponding sides and interior angles are congruent The triangles will have the same shape and size, but one may be a mirror image of the other.
Question 7 Draw a ΔABC in which AB= 4 cm, BC =6 cm and AC = 9 cm, construct a triangle similar to ΔABC with scale factor 32. Justify the construction. Are the two triangles congruent? Note that, all the three angles and two sides of the two triangles are equal.
Solution
So, first, we construct a triangle similar to ΔABC with scale factor 32 and use the above concept to check the triangles are congruent or not.