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Ira Lisetskai [31]
4 years ago
14

Based only on the information given in the diagram, it is guaranteed that ABC~DEF

Mathematics
2 answers:
slamgirl [31]4 years ago
4 0
False because it doesn’t meet any triangle congruence theoreme
Varvara68 [4.7K]4 years ago
4 0

Answer: False.

Step-by-step explanation:

To prove any pair of triangles similar , some necessary things are needed :-

1) At least two angles :-Two prove a pair of angles are similar , we need at-least two corresponding angles are congruent for AA-similarity criteria.

2) Two sides and one included angle :- To apply SAS similarity criteria , we need two sides of one triangle proportional two two sides of another traingle and one pair of congruent corresponding angle.

3) Three sides :-To apply SSS similarity criteria , we need all the three sides of triangle proportional to the sides of the another triangle.

In the given figure we have given only one angle and one side in each triangle.

To apply any similarity criteria to prove then similar , we need at least an angle or side CB and EF or all the sides.

Hence, on the basis of the given diagram it is not guaranteed that  ABC~DEF.

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