Question

If Triangle ABC= triangle DEF, which statement must be true?

Answer 1

The statement must be true is AC = DF ⇒ A

Step-by-step explanation:

When two triangles are congruent, then

• Their corresponding sides are equal in lengths
• Their corresponding angles are equal in measures
• Their perimeters and areas are equal

∵ ΔABC ≅ DEF

- Their corresponding sides and angles are equal

∴ AB = DE ⇒ AB is the corresponding side of DE

∴ BC = EF ⇒ BC is the corresponding side of EF

∴ AC = DF ⇒ AC is the corresponding side of DF

∴ ∠A ≅ ∠D ⇒ ∠A is the corresponding angle of ∠D

∴ ∠ABC ≅ ∠DEF ⇒ ∠ABC is the corresponding angle of ∠DEF

∴ ∠C ≅ ∠F ⇒ ∠C is the corresponding angle of ∠F

- Look to the answer to find the correct statement

∴ AC = DF

The statement must be true is AC = DF

Learn more:

You can learn more about the congruent of triangles in brainly.com/question/6108628

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