If ΔABC and ΔDEF are congruent triangles, then which of the following is FALSE?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. The ratio of AC to DF is 2 : 1.
Option 1:
Congruent triangles have the same size and shape. This means all corresponding sides and angles are equal, the ratio should be 1 : 1.
Option 2:
If the sides are equal, the perimeters (the sum of the sides) must also be equal.
Option 3:
AB = DE, and BC = EF
This states that specific corresponding sides are equal, which is true for congruent triangles.
Option 4:
If the triangles are congruent, the corresponding angles are equal. The ratio of the angles in both the triangles is the same.
Therefore, the statement that the ratio of AC to DF is 2 : 1 is false.