Question 7Draw a ΔABC in which AB= 4 cm, BC = 6 cm and AC = 9 cm, con

1.	Question 7Draw 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 processTriangles 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.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.
Answer» Question 7 Draw a $Δ A B C$ in which AB= 4 cm, BC = 6 cm and AC = 9 cm, construct a triangle similar to $Δ A B C$ with scale factor $\frac{3}{2}$ . 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. So, first, we construct a triangle similar to $Δ A B C$ with scale factor $\frac{3}{2}$ and use the above concept to check the triangles are congruent or not.

Question 7Draw 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 processTriangles 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.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.

Answer»

Question 7

Draw a $Δ A B C$ in which AB= 4 cm, BC = 6 cm and AC = 9 cm, construct a triangle similar to $Δ A B C$ with scale factor $\frac{3}{2}$ . 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.

So, first, we construct a triangle similar to

Δ A B C

with scale factor

\frac{3}{2}

and use the above concept to check the triangles are congruent or not.

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